Dual Role of Catalytic Agents on In-Situ
Combustion Performance
                  I.Y. Akkutlu, SPE, University of Oklahoma; Y.C. Yortsos, SPE, University of Southern California;
                                             and G.D. Adagülü-Demirdal, SPE, Encana
Summary                                                                                 techniques. Among them, the most important one is related to
Unlike other thermal recovery methods, air injection and in-situ                        instant availability and low-cost of the injection fluid regardless
combustion generates significant amounts of heat in the reservoir.                      of the reservoir location. Furthermore, and perhaps even more
However, the process is subject to acute heat loss rates from the                       distinctively, air injection processes bypass a necessity to minimize
reaction zones because of high temperature gradients; conse-                            the wellbore heat losses, and the accompanying injector insulation
quently, the reaction temperatures may be reduced considerably,                         costs, realized during the other thermal recovery operations. Dur-
leading to a deteriorated combustion performance and debilitated                        ing air injection, unlike the high-temperature injection fluids, no
field operations. The goal of this paper is to determine under                          heat losses take place until the injected air reaches the reservoir and
which reservoir conditions the combustion temperatures could                            confronts the hydrocarbon deposits and in-situ generated fuel.
be maintained at sufficient levels. Previous investigators have                             During any air injection process, propagation of a self-sustain-
partially addressed this issue using kinetic and combustion tube                        ing combustion front in the reservoir is necessary for improved oil
experiments. In the absence of heat losses, it has been repeat-                         recoveries, however. It is desired to maintain a stable high-tempera-
edly shown that catalytic agents (naturally occurring clays, metal                      ture combustion front that travels away from the injector deeper
oxides, and some water-soluble metallic additives) improve the                          into the reservoir toward the production well, uniformly sweeping
self-sustainability limit of combustion front in crude oil and sand                     the in-place fluids. The fuel necessary for high-temperature oxi-
mixtures. In general, this has been attributed to the dual role of                      dation reaction, and the associated front self-sustainability, is a
these agents on the combustion performance, namely the catalytic                        carbon-rich residue resulting from a series of complex in-situ proc-
and fuel deposition effects. It is currently a common belief that                       esses: low-temperature oxidations, cracking and coking (pyrolysis)
appropriate introduction of such materials in a reservoir environ-                      reactions, in-situ generated steam-based distillation, and, finally,
ment could enhance the performance of combustion process and,                           multiphase displacement. These sequentially take place ahead of
hence, improve the recoveries. An investigation of their dual role                      the moving combustion front, and their relative locations in the
on combustion requires that the mechanisms of combustion are                            reservoir are dictated by a nonuniform temperature profile monoto-
well understood in their presence. Complex physical and chemi-                          nously decreasing further away from the combustion front.
cal nature of the problem at the pore-scale has prevented detailed                          The produced oil is often upgraded and, hence, lighter than
investigations using physical and numerical models, however.                            the original oil in place because of the in-situ consumption of the
Here, we approach the problem analytically using a sequential-                          heavier fractions at the combustion front and because of in-situ
reaction [high-temperature oxidation/low-temperature oxidation                          processes (e.g., distillation) taking place ahead of it. Hence, the
(HTO/LTO)] combustion front propagation model, based on large                           air injection processes may have an added benefit of recovering
activation energy asymptotics, and introducing the reaction kinet-                      in-situ upgraded heavy oils.
ics and fuel deposition effects to the model systematically by                              Despite the potential advantages, air injection processes have not
varying the related variables and parameters. Coherent propagation                      been widely used in the field primarily because of operational and
of the reaction regions are then investigated using reaction region                     technical difficulties. Earlier, it is reported that, among the 1.3 mil-
temperatures, propagation velocity, and the oxygen consumption                          lion B/D of oil produced by thermal methods, only 2.2% is produced
efficiency. General characteristics of an ideal catalytic agent are                     by in-situ combustion (Moritis 2002). One major technical difficulty
discussed in terms of its potential to improve in-situ combustion.                      that limits their practical application is related to control and optimi-
It is found that the front propagation can be improved under the                        zation of combustion front and of its complex interaction with the
reservoir conditions only if both the catalytic and fuel deposition                     preceding phenomena under the reservoir conditions. The preceding
effects of the agents are present. The work is important for our                        phenomena take place at the reservoir scale under restrictive influ-
understanding of in-situ combustion processes and can be used                           ence of a nonuniform temperature profile, distribution of which
for development of screening criteria to identify high-performance                      is dictated by the combustion front. On the other hand, the issues
catalytic agents in the laboratory using conventional apparatus.                        related to combustion front performance and optimization—in terms
                                                                                        of the amount of in-situ generated heat, front temperature and propa-
Introduction                                                                            gation speed—are closely tied to in-situ deposition and availability
Thermal recovery is the principal approach to reduce viscosity of                       of the hydrocarbon fuel generated by the preceding phenomena. If
heavy crude oil by applying heat into a subsurface oil reservoir.                       the deposited fuel amount is not sufficient, as is often the case with
The necessary thermal energy can be generated at the surface and                        lighter oil reservoirs, the front may propagate in an unstable combus-
introduced into the reservoir by means of injecting steam, hot                          tion mode susceptible to detrimental reservoir conditions (e.g., high
water, or gas. It may also be generated in-situ by injecting air and                    reservoir heat losses) and it could become extinct. To the contrary,
oxidizing heavy components of the crude oil in place. The latter                        if the deposited fuel amount is large—the case with some heavy oil
approach for heavy oil recovery has long been recognized as the                         reservoirs, bitumen deposits, and oil shales—the front propagation
air injection and in-situ combustion (Prats 1982).                                      velocities are expected to be significantly low, which slows down
    Air injection and in-situ combustion processes have several                         the operations and brings an uneconomically high air compression
advantages when compared with the other thermal heavy oil recovery                      and injection costs for the production (Alexander et al. 1962). Thus,
                                                                                        the air injection processes depend upon not only a detailed analysis
                                                                                        of the reservoir and fluid properties showing the existence of opti-
                                                                                        mum conditions in place but also upon a better understanding of
Copyright © 2010 Society of Petroleum Engineers
                                                                                        the physical and chemical phenomena and their coupling under the
This paper (SPE 115506) was accepted for presentation at the SPE Annual Technical       reservoir conditions.
Conference and Exhibition, Denver, 21–24 September 2008, and revised for publication.
Original manuscript received for review 24 June 2008. Revised manuscript received for
                                                                                            A series of experimental investigations have been performed
review 18 February 2009. Paper peer approved 19 February 2009.                          since the 1970s mainly focusing on application of the air injection
March 2010 SPE Journal                                                                                                                                       137
                                       TABLE 1—KINETIC RUNS FOR CYMRIC LIGHT CRUDE OIL*
                    Kaolitine            Metallic    Peak T,      Peak T,       E/R,      E/R,      Max. O2      Max. O2
                    or Silica            Additive   LTO (°C)     HTO (°C)       LTO       HTO       LTO (%)      HTO (%)
                    Kaolitine             None        275          385         9647      10669          3           2.8
                                               3+
                    Kaolitine             Fe          275          355         8535      11522         5.1          3.8
                    Silica powder         None        287          410         8331      10681         2.4          2.6
                                               3+
                    Silica powder         Fe          280          370         7886       9775         2.9          2.7
                    * He et al. 2005
processes to an extended range of reservoir rock matrix and fluid        be considered simultaneously with the activation energy of the
characteristics. The investigations also involved the so-called cata-    reaction when the catalytic effects are investigated.
lytic agents, namely naturally occurring minerals such as clays and          De los Rios et al. (1988) and Shallcross et al. (1991) performed
metal oxides, and certain water-soluble metallic salts, with the         kinetic experiments with various metallic additives and developed
potential to play a catalytic role on the combustion reactions. In       an analytical model to estimate the kinetic parameters of the oxida-
the chemical industry, metals have been known for their catalytic        tion reaction regions, namely LTO, MTO, and HTO. They found
ability in hydrocarbon oxidation and cracking reactions. Many            that iron and tin salts enhance fuel deposition and increase oxygen
studies appeared in the literature of chemistry investigating the        consumption while copper, nickel, and cadmium salts show no
effects of metallic additives on the oxidation characteristics of        apparent effect. For each oxidation reaction, the activation energies
crude oils. They were also considered as the agents to control and       are estimated using their model. For most of the catalytic agents,
optimize the in-situ combustion processes.                               their results showed that the activation energy of HTO and MTO
    Previous experimental works showed that the overall reaction         reactions increases while that of the LTO reaction decreases.
mechanism of crude oils in porous media is caused by a sequence              Castanier et al. (1992) carried out 13 combustion tube runs
of several oxidation reactions that occur at different temperature       with metallic additives. In the experiments, four different types of
ranges. On the thermograms, these have been classified as the            oil were used. The results showed that tin, iron, and zinc enhance
regions of low-temperature (LTO), medium-temperature (MTO),              combustion efficiency, while copper, nickel, and cadmium have little
and high-temperature (HTO) oxidation reactions. In the absence of        or no effect. Increase in fuel deposition, oxygen utilization effi-
oxygen, there also exist pyrolysis and thermal cracking reactions        ciency, and front velocity are found in the presence of the former
during the in-situ combustion, although significantly high tem-          metals. In addition, zinc is found to be less effective compared to
peratures and longer times may be required for their dominance.          tin and iron. For the light oil case, they observed a sustained com-
Mamora (1993) considered the experimental occurrence of LTO              bustion using iron additive while combustion had failed without
and HTO reactions during a series of kinetic tube experiments and        any additive.
concluded that the LTO reactions are mainly responsible for fuel             Holt (1992) used iron nitrate and zinc nitrate on Cymric field
generation. On the basis of this premise, he developed a two-reac-       light and heavy oil and observed a catalytic effect of the additives.
tion hydrocarbon oxidation kinetic model.                                For the Cymric heavy oil, results of the kinetic experiments showed
    Earlier, Burger and Sahuquet (1972) performed kinetic experi-        that addition of 1% iron nitrate increased fuel amount by 20%. On
ments and observed that the oxidation reactions could occur at           the other hand, 1% zinc nitrate increased fuel concentration by only
lower temperatures and the area under the high-temperature peak          5%. It is noted that the generated fuels require different amounts
increases in the presence of catalytic agents. They interpreted          of air to burn unit masses. They also repeated the same runs for
that the former observation was because of an increase in oxida-         the Cymric light oil without any additives. Sustained combustion
tion reaction rate and the latter was because of an increase in the      could not be achieved, however, because of a lack of fuel deposi-
deposited fuel amount.                                                   tion. On the other hand, they observed efficient combustion with
    Fassihi (1981) ran kinetic experiments using 27°API crude oil. He    the addition of 1% (mole) iron nitrate solution.
compared the effluent gas data for the clean sand with the one added         He et al. (2005) explored the effect of water-soluble metallic
copper. The results showed that the activation energy of HTO region      additives on in-situ combustion using combustion tube and kinetics
decreases approximately 50% and activation energy of MTO region          cell. Cymric light and heavy oil are used during the experiments.
increases approximately 50%. No significant change is observed in        For the tests, sand, silica powder, or kaolinite are mixed with water
the LTO region other than a higher Arrhenius constant.                   and oil. In the cases of test with metallic additive, 0.5 g of the addi-
    Drici and Vossoughi (1985) studied the effects of metal oxides       tive is added to the water. The results of their experiments are sum-
on combustion characteristics of the crude oil by using differen-        marized in Tables 1 and 2. It is observed that the additive improves
tial scanning calorimetry (DSC) and thermogravimetric analysis           performance in all cases, including changing activation energies,
(TGA). The results showed that, as the metal oxides concentration        greater oxygen consumption, low temperature threshold, and more
increases, the amount of heat released in the LTO reaction region        complete oxidation. For Cymric light crude oil, the catalytic effect
gradually increases. The combustion peak temperature shifts to           is obvious in the LTO where fuel deposition is increased to sustain
a lower temperature and became smaller and smoother, which               combustion. For Cymric heavy crude oil, metallic additives are
reflects a more homogeneous composition of the solid residue.            found to have an effect on HTO. Kaolinite also has an effect on
They also noted that the change in the reaction rate constant must       crude oil combustion even without a metallic additive.
                                       TABLE 2—KINETIC RUNS FOR CYMRIC HEAVY CRUDE OIL*
                    Kaolitine            Metallic    Peak T,      Peak T,       E/R,      E/R,      Max. O2      Max. O2
                    or Silica            Additive   LTO (°C)     HTO (°C)       LTO       HTO       LTO (%)      HTO (%)
                    Kaolitine             None        270          395         9090      12319        12.6         12.2
                                               3+
                    Kaolitine             Fe          280          355         9085       9427        13.7          18.7
                    Silica powder         None        265          410         7293      10489         6.3          18.4
                                               3+
                    Silica powder         Fe          260          380         7098      10640          7          18.4
                    * He et al. 2005
138                                                                                                                       March 2010 SPE Journal
    In summary, results of the experimental studies have shown                                    qL  q      ⎡ 1                    ⎤
that the introduction of catalytic agents to certain types of crude                   fL = 1 +      + H exp ⎢ − ( hL + 1) VDL  * ⎥ , . . . . . . . . . . . (2)
oil/sand mixtures could significantly (1) change the oxidation reac-                              hL hL    ⎣ 2                    ⎦
tion kinetics inside the combustion front (i.e., catalytic effect) and
(2) influence the fuel deposition. However, we do not have a clear                where subscripts H and L correspond to the HTO and LTO reactions,
understanding of the mechanisms that lead to the dual—catalytic                   respectively. q = qH + qL = (QHofH + QLofL)/[(1−)cssTo] represents
and fuel deposition—effects. For example, it is not known how                     the ratio of the heat generated by the combustion process to the abso-
exactly the fuel is deposited. Is it the specific surface area of the             lute heat content of the matrix. This quantity is directly proportional
porous medium ahead of the combustion front or the stiochiometry                  to the amounts of hydrocarbon deposited οfL and fuel-generated οfH
of fuel generation that is changed in the presence of these materi-               for the LTO and HTO reactions, respectively. hn2 = 1 + 4h/VDn2
als? Further, with the changing fuel availability, does the specific              represents the influence of external heat losses on temperatures of
surface area of the deposited fuel also change such that an addi-                 the reaction regions. Steady propagation velocities of the reaction
tional catalytic effect comes into play for an optimal combustion                 regions, on the other hand, are given by the following equations:
front propagation?
    It is also not well understood how significant the dual effects                                     ⎛  ⎞
are on the combustion front propagation, how the so-called catalytic
                                                                                      2
                                                                                     VDH = AHYH fH exp ⎜ − H ⎟ . . . . . . . . . . . . . . . . . . . . . . . . . . (3)
                                                                                                        ⎝  fH ⎠
effect should appear during the propagation and to what extent it
influences the combustion performance. The main objective should,
therefore, be an investigation on the combustion front performance                and
in the presence of dual effects of catalytic agents under the reservoir
conditions.                                                                                             ⎛  ⎞
    Because of the complex nature of the crude oil components
                                                                                      2
                                                                                     VDL = ALYL fL exp ⎜ − L ⎟ . . . . . . . . . . . . . . . . . . . . . . . . . . . (4)
                                                                                                        ⎝  fL ⎠
and their numerous nonisothermal reactions, the task is, however,
a difficult one in the laboratory or using a numerical approach.
In this work, a self-sustaining combustion front propagation is                   Hence, the velocity equations hold nonlinear dependency on
considered analytically using a sequential-reaction (fuel-generat-                the temperatures of the reaction regions and involve, among oth-
ing, LTO; fuel-burning, HTO) front propagation model. Given the                   ers, two dimensionless quantities An = sknasnpYi /qnEnvi2 and Yn =
complexity of problem, the approach is quite simple, although                     (1 − 	nVDn)/(1 + 	gnVDn). The former reflects a combination of
it makes rigorous analysis of the in-situ fuel generation and                     physicochemical properties, including the kinetics (i.e., frequency
consumption processes along with their nonlinear interactions.                    factor k, deposited hydrocarbon, and generated fuel surface areas
The reaction kinetics (i.e., frequency factors, activation energies,              asL, asH, and activation energy E), of the reaction; whereas the lat-
deposited hydrocarbon, and generated fuel specific surface areas),                ter accounts for the concentration of oxygen left unburned by the
hydrocarbon amount and fuel generation stoichiometry are input                    reaction region. Here, we note that An is inversely proportional
parameters of the model. During the investigation, these param-                   to the square of air injection rate, vi2 [i.e., (volumetric air/unit
eters are systematically changed as indication of the effects caused              time)/cross-sectional area]. The latter is also referred to as injection
by the presence of catalytic agents and the impact on the front                   rate, expressed in m/d, and it is defined at the inlet (i.e., injection)
propagation are investigated under detrimental reservoir conditions               conditions in the presence of heat losses; see Akkutlu and Yortsos
(i.e., the conditions that may lead combustion to the extinction                  (2003) for derivations and further details of Eqs. 3 and 4.
limit), such as insufficient hydrocarbon and fuel amounts or large                    Investigation of the combustion front propagation thus requires
heat loss rates. The role of the catalytic agents—whether catalytic               simultaneous solution of four coupled-algebraic equations (i.e.,
or not—that could play in optimizing the combustion performance                   Eqs. 1 through 4), in the presence of reservoir heat losses. Condi-
is identified.                                                                    tion of coherence asserts that these reaction regions travel with the
    The theoretical approach essentially builds on a recent descrip-              same speed (i.e., VDH = VDL); thus, in addition to the temperatures
tion of the single-reaction combustion front propagation using                    of reaction regions and their separation distance, this common
large activation energy asymptotics (Akkutlu and Yortsos 2003).                   velocity must also be determined. Details of the computational
The work was extended to the sequential oxidation reactions                       procedure can be found in Adagulu and Akkutlu (2007).
(Akkutlu and Yortsos 2004), and the coherence of the sequential
reaction regions propagating in a porous medium under typical                     Results and Discussion
reservoir conditions (Adagulu and Akkutlu 2007). Further, in the                  The presence of catalytic agents are expected to lead to changes in
absence of agents, the authors investigated the interactions between              the quantities n (Arrhenius number of reaction n) and An of Eqs.
the reaction regions, delineating the effects of fuel generation and              3 and 4 because of their dependence on the frequency factor, k,
combustion kinetics on the propagation. It was found out that                     specific surface area, as, and activation energy, E. Later, we elabo-
the reaction regions have the ability to travel closely spaced and,               rate on these dependencies as an indication of the catalytic role
consequently, minimize the effects of reservoir heat losses on the                the agents play on the combustion front propagation. The values
combustion. This mechanism has been shown to thermally support                    presented in Table 3 are used to generate the base case scenario.
the combustion front under deleterious reservoir conditions.
                                                                                  Activation Energies. An increase in the value of activation energy
Combustion Front Propagation Model                                                means that chemical transformation has to overcome a higher
Consider air injection into a linear homogeneous reservoir under                  energy barrier related to the energy of the covalent bonds. The
the influence of heat transfer to the surroundings. A steady propa-               required amount of reaction energy is provided by the kinetic
gation of sequential—HTO and LTO—reaction regions separated                       energy of translational motion of the colliding oxygen and hydro-
by a finite distance * develops. Because of oxidation, the two                   carbon molecules (i.e, two-body collisions). If, initially, heat is
reaction regions experience discontinuities in heat and mass fluxes               released and local temperature becomes larger, the mean kinetic
and interact with each other through temperature and reactant                     energy of the molecules will increase, and, thus, a greater number
(oxygen/fuels) concentration fields. Using considerable analysis                  of colliding molecules will soon have sufficient amount of kinetic
reported previously (Akkutlu and Yortsos 2004), dimensionless                     energy to overcome the energy barrier. Thus, in accordance with
temperatures of the propagating reaction regions are                              the Arrhenius dependency, the reaction rate increases. If the reac-
                                                                                  tion is accelerated, more heat will be released, the temperature of
                qH   q     ⎡ 1                    ⎤                               the medium will further increase, and, consequently, the reaction
    fH = 1 +      + L exp ⎢ − ( hH − 1) VDH  * ⎥ . . . . . . . . . . . . (1)   will be further accelerated. Therefore, an increase in the activation
                hH hH    ⎣ 2                    ⎦
                                                                                  energy of a reaction should lead a steadily propagating reaction
and                                                                               region to higher temperatures.
March 2010 SPE Journal                                                                                                                                              139
      TABLE 3—TYPICAL PARAMETER VALUES USED IN THE                           TABLE 4—INFLUENCE OF 5% CHANGE IN ACTIVATION
               COMBUSTION FRONT ANALYSIS                                       ENERGIES ON HTO TEMPERATURE ( vi = 100 m/d)
          Parameter                             Value                        Case                EH                   EL            HTO Temperature (°C)
               o                                              3
              ρ fH                            19.0 kg/m                        1                                    base                         22.33
              EH
                                                  4
                                          7.35 10 kJ/kmole                     2               base                                                4.45
              QH
                                                  4
                                         3.95 10 kJ/kg fuel                    3                                                                 19.81
              To                               373.15 K                        4                                    base                         19.42
               p                               1.0 atm                         5               base                                                7.66
               Yi                             1.0 kg/kg                        6                                                                   6.38
               vi                            100.0 m/day                       7                                                                 26.71
               R                          8.314 kJ/kmole-K                     8                                                                 27.13
               k                        227 kW-m/atm-kmole
               as
                                                      5   2       3
                                           1.41 10 m /m
                                                      4
                                         8.654 10 kW/m-K                  tube data. This may point to a pitfall during the interpretation of
              cg   gi                      1.2338 kJ/m -K
                                                              3           kinetic cell data, which are based on zero-dimensional observations
                                                      3           3       and, therefore, do not reflect the 1D propagation dynamics of the
           (1 φ) cs     s                2.012 10 kJ/m -K
                                                                          sequential reaction regions.
               H                                 2m
                                                              2
                                           0.078 kW/m -K                  Frequency Factors. An increase in the reaction frequency factor
                                                                          causes the reaction rate to proportionally increase, which, conse-
                                                3.018
                                                                          quently, is expected to accelerate the reaction region propagation
                                                  1.0                     and its temperature. Similarly, considering Cases 1 through 8, the
                                                                          influence of frequency factors on the HTO temperature is inves-
                                                                          tigated using the sequential reaction model with a 5% change in
                                                                          the frequency factors. Table 5 shows that the HTO temperature
    We observe that this explanation is strictly valid for the            does not necessarily obey the anticipated trends. This points out
energy and temperature relationship of an HTO reaction region             to a complex interplay of the reaction regions during the in-situ
in the presence of a preceding LTO region. Table 4 shows all              combustion process. In addition, it is found that the changes in
the possible variations in the activation energies of the oxidation       HTO temperature are much smaller than those caused by variations
reactions at a constant air injection rate along with their corre-        in the activation energies.
sponding changes in the HTO front temperature estimated using
the model. Additionally, four cases are observed where the HTO            Specific Fuel Surface Areas. Based on the formulation of the
temperature is increased: Cases 2, 4, 6, and 8. Only Case 8 among         model (i.e., Eqs. 3 and 4), the influence of hydrocarbon fuel sur-
them—when the contrast in the HTO/LTO activation energies is              face areas should be identical with the frequency factors. Thus,
increased—has the potential to increase the HTO temperature               HTO temperature changes observed in Table 5 are equally valid
significantly. Interestingly, this is also the case observed during       for the hydrocarbon and fuel surface area changes. For example,
the kinetics experiments of He et al. (2005), when Fe+ is added to        a 5% increase in the deposited hydrocarbon surface area and a 5%
silica/Cymric heavy oil and to kaolinite/Cymric light oil mixtures        decrease in the generated fuel surface area (i.e., Case 7) lead to a
(see Tables 1 and 2).                                                     2.3°C increase in the HTO temperature.
    Fig. 1 shows the effect of variations in the activation energies
in accordance with Case 8 on the propagation dynamics of the              Combined Effects of the Activation Energies and Frequency
coherent reaction regions, namely the reaction region temperatures,       Factors. The estimated temperatures in Tables 4 and 5 are such
propagation velocity, and separation distance. When compared              that, in all the cases considered, the temperature change from
with the base-case solutions (dashed lines), it is clear in Fig. 1a       the variations in the activation energies consistently offsets those
that the contrast in activation energies improves the HTO tempera-        caused by variations in the frequency factors. Thus, it becomes an
ture, in particular at high air injection rates. However, the catalytic   important issue for the discussion whether the activation energies
effect (i.e., the shaded region in Fig. 1a) becomes smaller as the        and the frequency factors of the reactions vary independent of
injection is decreased because of the presence of reservoir heat          each other in the presence of catalytic agents. Often, a variation
losses. This decrease in catalytic effect is because of a decrease in     in the activation energies only has been considered as an indica-
the difference between the rate of heat generation and the rate of        tion of the catalytic activity. However, Drici and Vossoughi (1985)
heat losses. Here, it is also observed that the changes in activation     showed that consideration of the variations in the energy alone
energies have negligible influence on the estimated LTO tempera-          can be misleading; instead, the combined (compensation) effect
tures, which is nearly a constant for a large range of air injection,     of the frequency factor and activation energy of a reaction should
neither on the coherent front propagation speed (Fig. 1b). It is,         be considered throughout an investigation. In this study, a normal
however, clearly indicated in Fig. 1c that, at high injection rates,      (m > 0) compensation effect is considered for the HTO and LTO
the reaction regions approach each other, eventually overlapping,         reactions in the presence of agents, i.e., the frequency factor and
when the rate is approximately 25–300 m/d. Consequently, there            activation energy relationship of the oxidation reaction follows a
exist no solutions corresponding to coherent propagation at higher        positive trend:
injection rates.
    Results indicate that the experimentally observed improvement            log k = mE + c , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (5)
in self-sustainability of the combustion process may be attributed
to a catalytic effect originating from a contrast in the HTO and          where m = 6.453 × 10−5 kmole/kJ is given by Drici and Vossoughi
LTO activation energies in the presence of catalytic agents. Com-         (1985) and valid for various metal oxides, and c = −2.38 is taken
bustion tube runs of He et al. (2005) also support this observation.      here so that the base-state values of activation energies and fre-
Interestingly, however, their kinetic-cell results corresponding to       quency factors are recovered using Eq. 5. Fig. 1 (solid blue lines)
Case 8 predicts 30–40°C lower HTO temperatures than the base              shows the compensation corresponding to Case 8 in terms of the
values. The latter experimental observation then appears to be in         propagation dynamics of the reaction regions. It clearly shows
contradiction with the improvement observed in the combustion             that the compensation effect indeed eliminates the previously
140                                                                                                                                   March 2010 SPE Journal
                                                       500
                                                                 catalytic effect
                                                                 Catalytic effect
                                                                 due to
                                                                     to activation
                                                                        activation                  case 88
                                                                                                    Case
                                                                 due
                                                   C
                                                                 energies  only                                      base
                                                                                                                     Base
                                                                 energies only
                              Region Temperatures,
                                                       400                                                           compensation effect
                                                                                                                     Compensation effect
                                          oC
                                                                                     HTO
                                                                                     HTO
                          Temperatures,
                           Temperature,
                                                       300
                                                                                     LTO
                                                                                     LTO
                                                       200
                          Rxn                          100
                                                             0              100
                                                                             100             200              300
                                                                                                              300            400
                                                                                                                             400            500
                                                                                                                                            500
                                          (a)                                              Injection Velocity, m/day
                                                                                      Injection   velocity, vvii,, m/day
                                                                                       InjectionVelocity,          m/d
                                                        7
                                                                                                                                           Base
                                                        6
                           Front Velocity, m/d
                                                                                                                         Compensation effect
                                                        4
                                                        2        E
                                                        1
                                                        0
                                                             0              100               200              300             400                500
                                          (b)                                          Injection Velocity, vi , m/d
                                                       40
                            Separation Distance, cm
                                                                             Base
                                                       30
                                                                                                                     Compensation effect
                                                       20
                                                                           Case 8
                                                       10
                                                        0
                                                             0               100              200              300             400                500
                                           (c)                                          Injection Velocity, vi , m
Fig. 1— Catalytic effects on combustion front propagation. Reaction region (a) temperatures, (b) front velocity, and (c) separa-
tion distance.
observed catalytic effect from the contrast in the activation energies                                Further experimental investigation is required in the light of these
only. The estimated HTO temperatures and velocities are nearly                                        theoretical observations.
identical to the base-state solution at low and moderate air injec-
tion rates; at high rates, the estimates become even less than the                                    Fuel Deposition Effect. Here, we note that the surface areas of the
predicted base values.                                                                                deposited hydrocarbon and the generated fuel are not the same as the
    In summary, the results distinctly illustrate that the changes in                                 surface area of the porous medium, although they may be correlated
kinetic parameters has the potential to influence the combustion                                      to the latter. Earlier, it is argued that the catalytic agents may change
front propagation significantly, in particular, through the properties                                the specific surface are of the porous medium and, consequently,
of HTO region. It is found that any selected catalytic agent should                                   vary the hydrocarbon deposition and the fuel generation and,
modify the activation energies of the oxidation reactions such that                                   hence, the total heat content of the reservoir. Therefore, dynamics
the contrast in HTO/LTO activation energies is further increased.                                     of the coherent reaction regions is expected to be influenced by the
The results also clearly show the importance of variations in the                                     dimensionless quantities qn in Eqs. 1 through 4, An (this time because
hydrocarbon and fuel specific surface areas as the sole sources                                       of its dependency on qn) and Yn (because of dependencies on the
of catalytic effect in the presence of normal compensation effect.                                    stoichiometric coefficients 	n and 	gn) in Eqs. 3 and 4.
March 2010 SPE Journal                                                                                                                                                     141
                              TABLE 5—INFLUENCE OF 5% CHANGE IN FREQUENCY                                                            TABLE 6—INFLUENCE OF 5% CHANGE IN HYDROCARBON
                             FACTORS OR HYDROCARBON SURFACE AREAS ON HTO                                                              FUEL DENSITIES ON HTO TEMPERATURE ( vi = 300 m/d)
                                        TEMPERATURE (vi = 100 m/d)
                                                                                                                                             Case      ρ οfH        ρ οfL        HTO Temperature ( °C)
                                   Case          kH or asH        kL or asL      HTO Temperature ( °C)
                                                                                                                                              9        base                                 1.64
                                    1                               base                      1.88                                            10                                            3.52
                                    2              base                                       0.45
                                    3                                                         1.42
                                                                                                           shifts from HTO and is dictated by the LTO region. This observa-
                                    4                               base                      1.77         tion is in agreement with the experimental results of Drici and
                                    5              base                                       0.42         Vossoughi (1985), where, using thermal analysis techniques, the
                                    6                                                         1.36         authors predicted a shift of a large amount of heat from a high to
                                    7                                                         2.30
                                                                                                           a low temperature range because of an increase in the solid surface
                                                                                                           area in the presence of agents. Nevertheless, the results here show
                                    8                                                         2.23         that the overall influence of this shift may not be strong enough
                                                                                                           to improve front propagation.
    Sensitivity of the HTO temperature on the hydrocarbon and fuel                                             Fig. 3 shows combustion behavior from fuel deposition in
densities is given in Table 6. Cases 9 and 10 consider the possibil-                                       accordance with Case 10. In this case, the deposited hydrocarbon
ity of increased hydrocarbon deposition ahead of the LTO reaction                                          amount ahead of the LTO region is 50% larger than the base value
region. In Case 10, the amount of generated fuel is increased pro-                                         and the generated HTO fuel amount increases proportionally.
portionally, however; hence, the stoichiometry of fuel generation                                          Hence, the total heat content of the reservoir is the same as in
is not changed and is the same as that in the base case. Notice                                            Case 9 (i.e., two times larger than the base-state), and, therefore,
that, relative to the temperature variations from activation energies                                      Figs. 2 and 3 are thermally calibrated and comparable. Estimated
given in Table 1, the HTO temperature increases only slightly, even                                        changes in the separation distance are shown in Fig. 4 for the base,
though the air injection rate is kept three times larger. Regardless,                                      Case 9 and Case 10. At high air injection rates, it is clear that the
Table 6 also shows that the temperature increase of Case 10 is                                             increased fuel amounts significantly affect both reaction region
approximately two times larger than that of Case 9.                                                        temperatures, which, consequently, improves the combustion per-
    Fig. 2 shows the combustion behavior corresponding to Case                                             formance. As the injection rate decreases, however, the separation
9 when the hydrocarbon deposition ahead of the LTO is doubled.                                             distance of the reaction regions increase, which promotes the heat
Estimated values of the HTO temperature are much lower than                                                transfer to the surroundings, and, consequently, the enhancement
the base values at air injection velocities below 400 m/d; at higher                                       on the combustion performance disappears. Note that the predicted
injection rates, however, there exists a small region of increased                                         distances with Case 10 are significantly larger than those with Case
combustion performance from increased hydrocarbon deposition.                                              9 and the base state at large air injection rates. As the injection
At higher (lower) air injection (heat loss) rates, it is expected that                                     rate is decreased, the distance increases nonlinearly and, at the air
the region of improved combustion performance is much larger.                                              injection rate of 230 m/d, it becomes infinitely large, namely the
    Fig. 2 also shows that, unlike the catalytic effect, the hydrocar-                                     reaction regions are fully separated (i.e., *→∞). At lower injec-
bon deposition causes dramatic changes in the LTO temperature.                                             tion rates, there still exist solutions corresponding to the coherent
At low and moderate air injection (35–200 m/d) its estimated val-                                          propagation of reaction regions with a finite distance; however,
ues increase such that the LTO temperature becomes even larger                                             the predicted temperatures in this region are close to the base-state
than the HTO temperature, (see the LTO-dominated region in Fig.                                            values. The estimated coherent propagation velocity of the reaction
2). Hence, in this region, control over the combustion performance                                         regions with Cases 9 and 10 does not show significant variations
                                                                                                           from the base values either.
                                                                                                               In summary, results in this section shows that the fuel deposi-
                                   500                                                                     tion effect plays a significant role on the combustion dynamics.
                                                                                                           However, the presence of a catalytic agent with a potential to
                                             LTO-dominated
                                             Region                                                        generate such an effect does not warrant an improvement in
                                                                HTO (Base)
Reaction Region Temperature, o C
                                                                                                                                             500                                           HTO (Case 10)
                                   400
                                                                                     LTO (Case 9)
                                                                                                           Reaction Region Temperature, °C
                                                                                                                                                                                           HTO (Base)
                                                          HTO (Case 9)
                                                                                                                                             400
                                   300
                                                                                                                                                                                           LTO (Case 10)
                                                                                     LTO (Base)                                              300
                                                                                                                                                                                           LTO (Base)
                                   200
                                                                                                                                             200
                                   100                                                                                                       100
                                         0          100           200          300            400    500                                           0    100      200           300         400             500
                                                             Injection Rate, vi , m/d                                                                          Injection Rate, v i , m/d
Fig. 2 —Hydrocarbon deposition effect (Case 9) on combustion                                               Fig. 3 —Hydrocarbon deposition effect (Case 10) on combus-
front propagation. Temperatures of the reaction regions vs.                                                tion front propagation. Temperatures of the reaction regions vs.
air injection rate. The hydrocarbon amount ahead of the LTO                                                air injection rate. The hydrocarbon amount ahead of the LTO
region is two times larger than the base value.                                                            region is 50% larger than the base value.
142                                                                                                                                                                                March 2010 SPE Journal
                          300                                                                                                                           500
                                                 Case 10                                                                                                                       HTO (Cases 8 and 10)
                                                                                       Reaction Region Temperature, oC
                          250                                                                                                                                                                                      HTO (Base)
                                                                                                                                                        400
Separation Distance, cm
                          200                                                                                                                                                    LTO (Cases 8 and 10)
                                                                                                                                                        300
                                                                                                                                                                                                                   LTO (Base)
                          150
                                                                                                                                                        200
                          100
                                                   Case 9
                                    Case 10
                           50                                                                                                                           100
                                                   Base                                                                                                         0       100             200           300          400          500
                                                                                                                                                        (a)                         Injection Rate, v i , m/d
                            0
                                0        100       200           300       400   500                                                           300
                                               Injection Rate, v i , m/d
                                                                                                                                               250
Fig. 4 —Hydrocarbon deposition effects (Cases 9 and 10) on
                                                                                        Separation Distance, cm
combustion front propagation. Separation distance of HTO and
                                                                                                                                               200
LTO reaction regions vs. air injection rate.
                                                                                                                                                                    (Cases 8 and 10)
                                                                                                                                               150
the combustion performance. On the contrary, it may lead to
detrimental effects such as incoherence of the reaction regions                                                                                100
and low-temperature-dominated front propagation. In light of the
observations in the Activation Energies subsection through the                                                                                          50
Fuel Deposition Effect subsection, we consider a special case                                                                                                             Base
where combustion front propagation is under the influence of an
ideal catalytic agent with combined catalytic (Cases 8) and fuel                                                                                            0
                                                                                                                                                                0        100             200            300        400          500
deposition (Case 10) effects.
                                                                                                                                                 (b)                                   Injection Rate, v i , m/d
Dual Effects on Combustion Front Propagation. Next, the                                                                                                 7
combined catalytic (Cases 8) and fuel deposition (Case 10) effects
                                                                                                                    Velocity of Reaction Regions, m/d
                                                                                                                                                        6
(i.e., the dual effects) of the agents are considered without the com-
pensation. The results could be equally considered as the catalytic                                                                                     5                                      Base
effect with compensation where the changes in reaction rates are
from variations in the specific surface areas (Case 7). We look for                                                                                     4
solutions in a parameter space that demonstrate the dual effects
                                                                                                                                                        3
of catalytic agents. Fig. 5a shows that the dual effects noticeably                                                                                                                       (Cases 8 and 10)
improve the combustion performance nearly at every injection                                                                                            2
rate. The HTO temperature reaches values larger than 500°C in
                                                                                                                                                        1
the presence of reservoir heat losses, and the LTO temperatures
increase approximately 30%, reaching values as high as 320°C.                                                                                           0
The estimated separation distances in Fig. 5b also points to a sig-                                                                                         0           100              200            300         400          500
nificant improvement: The reaction regions propagate coherently                                                                                          (c)                         Injection Rate, v i , m/d
with an average distance of 1 m at air injection rates as low as
100 m/d. The coherent propagation velocity of the reaction regions                     Fig. 5 — Dual effects (Case 8 and Case 10) on combustion front
decreases in Fig. 5c, however insignificantly.                                         propagation.
    It is also found that the dual effects maintain a preferential
dominance on the combustion front dynamics. The catalytic effect
plays a role on improvement of the combustion performance at                               Indeed, a better understanding of the dual effects under the
low injection rates, where, under the influence of reservoir heat                      reservoir conditions calls for a detailed analysis of the combustion
losses, the HTO temperature drops significantly; on the other hand,                    front propagation model in the complete parameter space. The
the fuel deposition effect is more pronounced on the combustion                        task, however, is a rather challenging one because the problem is
performance at high air injection rates. Regardless of their pref-                     large (i.e., the number of parameters varying in the presence of
erential influences, the combustion front propagates at relatively                     catalytic agents) and involves nonlinearities inherent to the oxida-
low temperatures and velocities as the air injection rate (reservoir                   tion reactions, their interactions. For the purpose of analysis, the
heat losses) is decreased (increased).                                                 front propagation solutions are presented in 2D Cartesian coordi-
    Note that, in Fig. 5a, the combustion front appears not to be                      nates reflecting percent change in the kinetics and fuel deposition
influenced significantly by the presence of dual effects at injection                  parameters. Hence, x-y coordinates correspond to the combined
rates less than 100 m/d. Disappointingly, in this region, the tem-                     kinetic effects (Case 8) and to the fuel deposition effects (Case 10),
perature drop is so large and overall influence of our ideal agent                     respectively. For example, the combustion front propagation solu-
is so small that the front is expected to have no significant effect                   tion obtained for point (x = 0.4, y = 0.6) in the dual effect parameter
on recovery under the reservoir conditions. Important issues that                      space is that particular solution for which the activation energies
need to be addressed for application of air injection methods are                      and frequency factors of the reactions are changed 40% from their
then (1) identification of the optimum reservoir conditions and                        base values according to Case 8; the deposited hydrocarbon and
(2) selection of suitable catalytic agents that could prevent these                    generated fuel surface areas increased 40% according to Case 7;
observed drastic temperature drops at low injection and high heat                      and the deposited hydrocarbon and fuel amounts increased 60%
loss rates.                                                                            according to Case 10.
March 2010 SPE Journal                                                                                                                                                                                                           143
                 Fig. 6 — Coherent propagation of the HTO and LTO reaction regions in the space of dual effects.
     Fig. 6 shows coherence of the reaction regions developing in a        Conclusions
large portion of the dual effect space. Outside of the area of coher-      In-situ combustion front propagation involves diffusive processes
ence, the regions are either fully separated (*→∞) or overlap with        and complex chemical reactions. Traditional approach to analysis
each other (*→0). Obviously, these are not desired during in-situ         of the combustion fronts is based on classification of the crude oils
combustion, and they appear when a catalytic agent would influence         according to their oxidation characteristics. At least two distinct
propagation due to only deposition or kinetics, respectively. Next,        temperature ranges, HTO and LTO, have previously been found to
we search for the existence of optimum local conditions inside the         affect the propagation characteristics. These reaction regions have
area of coherence. Our primary interest is to determine whether the        a spatially narrow width within which heat release and reaction
estimated propagation velocity, oxygen consumption efficiency, and         rates vary significantly. The narrow width calls for an approach in
HTO temperature could be maximized as the reaction regions main-           which these reaction regions are treated as surface of discontinui-
tain a finite separation distance. Typically, the distance is 50–150 cm;   ties in the appropriate variables. The model reduces the complex
it increases abruptly, however, as the boundary of frontal separation      nonlinear problem of combustion front propagation with a fuel
is approached. When the kinetic and fuel deposition effects increase       generating reaction to a system of coupled algebraic equations.
proportionally (i.e., as we move along the SW-NE diagonal) the                 The reaction regions could self-sustain and propagate in the
system can maintain higher temperatures and propagation velocities         reservoir within a distance from each other that could vary sig-
while its oxygen consumption efficiency increases. There exists a          nificantly. There exist two limits to their propagation: The fronts
clear and smooth gradation of the latter properties until roughly point    could either coincide (with a distance nil) or they could become
(x = 0.35, y = 0.35) is reached; at larger values, however, nonlineari-    infinitely separated and de-coupled. The extent of these limits in
ties appear, in particular, in the case of propagation velocity under      the injection velocity space varies significantly with the kinetics
the kinetics effects of a catalytic agent. Consequently, no localized      and stoichiometry of the fuel generating reaction.
area yields solutions that may lead to an ideal combustion perform-            Dual (catalytic/fuel deposition) effects of catalytic agents on
ance. Thus, in the presence of catalytic agents, an in-situ combustion     coherent propagation of the HTO and LTO reaction regions are
front can reach extremely high temperatures, consuming nearly all          investigated. It is theoretically shown that the reservoir heat losses
of the injected oxygen, but it has to compromise on its propagation        are detrimental to in-situ combustion process; at low air injection
speed. Consider, for example, the case where a catalytic agent led         rates, temperature of the combustion front drops drastically. In the
to 80%, or higher increase in the kinetics and deposition parameters.      presence of clays/additives, this deleterious influence of heat losses
The improvement on the HTO temperature and oxygen consump-                 persists. Their presence, however, may have a significant effect on
tion efficiency would be significant. The temperature now reaches          the combustion front performance at high injection rates.
values as high as 600–650°C in the presence of reservoir heat losses;          A contrast in the activation energies of the oxidation reactions
whereas, the predicted propagation velocity stays relatively low, in       improved the combustion performance. A normal compensation effect,
the range of 2.4–3.0 m/d.                                                  however, eliminated this improvement. According to the formulation
144                                                                                                                      March 2010 SPE Journal
of the model, in the presence of the latter, a positive catalytic effect          Akkutlu, I.Y. and Yortsos, Y.C. 2004. Steady-State Propagation of In-Situ
appears to be possible only if the reaction rates change because of                   Combustion Fronts with Sequential Reactions. Paper SPE 91957
variations in the specific surface areas of the hydrocarbon fuels. In                 presented at the SPE International Petroleum Conference in Mexico,
the literature, often the product kas is considered as the frequency                  Puebla, Mexico, 7–9 November. doi: 10.2118/91957-MS.
factor, however. If the compensation effect is because of k/E rela-               Alexander, J.D., Martin, W.L., and Dew, J.N. 1962. Factors Affecting
tionship as described here, then the combustion process could be                      Fuel Availability and Composition During In-Situ Combustion. J.
enhanced by the variations in specific fuel surface areas.                            Pet Tech 14 (10): 1154–1164; Trans, AIME, 225. SPE-296-PA. doi:
    Investigation regarding fuel densities showed that hydrocarbon                    10.2118/296-PA.
deposition markedly influences the LTO region temperature; the LTO                Burger, J.G and Sahuquet, B.C. 1972. Chemical Aspects of In-Situ Com-
temperature could become comparable and even higher than the HTO                      bustion—Heat of Combustion and Kinetics. SPE J. 12 (5): 410–422;
region temperature as the hydrocarbon deposition increases ahead                      Trans., AIME, 253. SPE-3599-PA. doi: 10.2118/3599-PA.
(i.e., LTO dominated in-situ combustion processes). A significant                 Castanier, L.M., Baena, C.J., Holt, R.J., Brigham, W.E., and Tavares, C.
improvement on the overall combustion performance is possible, how-                   1992. In Situ Combustion With Metallic Additives. Paper SPE 23708
ever, only when the HTO fuel is generated in direct proportions to the                presented at the SPE Latin America Petroleum Engineering Confer-
hydrocarbon deposition ahead of the LTO region. The latter points out                 ence, Caracas, 8–11 March. doi: 10.2118/23708-MS.
the significance of HTO fuel generation stoichiometry on the in-situ              de los Rios, C.F., Brigham, W.E., and Castanier, L.M. 1988. The Effect
combustion dynamics. When the HTO fuel generation is favorable                        of Metallic Additives on the Kinetics of Oil Oxidation Reactions in
and, in particular, at high (low) air injection (heat loss) rates, a strong           In-Situ Combustion. Technical Report SUPRI TR-63, Contract No.
combustion enhancement effect could be observed in the presence of                    DOE/BC/14126-4, Stanford University Petroleum Research Institute,
clays, metallic minerals, and water-soluble additives because of the                  Stanford, California (November 1988).
role they play in modifying specific surface area of the solid grains             Drici, O. and Vossoughi, S. 1985. Study of the Surface Area Effect on
and, hence, on deposition of the hydrocarbons.                                        Crude Oil Combustion by Thermal Analysis Techniques. J. Pet Tech
    The results emphasize the importance of reservoir selection                       37 (4): 731–735. SPE-13389-PA. doi: 10.2118/13389-PA.
before any air injection and in-situ combustion process and calls                 Fassihi, M.R. 1981. Analysis of Fuel Oxidation in In-Situ Combustion Oil
for a consideration (screening) of the additives with the purpose                     Recovery. PhD dissertation, Stanford University, Stanford, California
of increased control over the in-situ combustion front propagation                    (April 1981).
during the air injection processes.                                               He, B., Chen, Q., Castanier, L.M., and Kovscek, A.R. 2005. Improved
                                                                                      In-Situ Combustion Performance With Metallic Salt Additives. Paper
Nomenclature                                                                          SPE 93901 presented at the SPE Western Regional Meeting, Irvine,
 asn = specific hydrocarbon/fuel surface areas/unit volume, m2/m3                     California, USA, 30 March–1 April. doi: 10.2118/93901-MS.
                                                                                  Holt, R.J. 1992. In Situ Combustion with Metallic Additives. Technical
 An = dimensionless quantity described in Eqs. 3 and 4, sknasnpYi /
                                                                                      Report SUPRI TR-87, Contract No. DOE/BC/14600-29, Stanford
       qnEnvi2
                                                                                      University, Stanford, California (July 1992).
css = effective heat capacity of solid matrix, kJ/m3-K                           Mamora, D.D. 1993. Kinetics of In-Situ Combustion. PhD dissertation,
 En = activation energy of reaction n, kJ/kmole                                       Stanford University, Stanford, California.
   h = dimensionless heat transfer coefficient, h ′ / ⎢⎣(1 −  ) vi2cs s H ⎥⎦   Moritis, G. 2002. California Steam EOR Produces Less; Other EOR Con-
  h′ = convective heat transfer coefficient, kW/m2-K                                  tinues. Oil & Gas Journal 100 (15): 43–47.
  H = reservoir thickness, m                                                      Prats, M. 1982. Thermal Recovery. Monograph Series, SPE, Richardson,
  kn = frequency factor of reaction n, kW-m/atm-kmole                                 Texas 7.
   q = ratio of the heat generated by the combustion process to the               Shallcross, D.C., de los Rios, C.F., Castanier, L.M., and Brigham, W.E.
       absolute heat content of the matrix                                            1991. Modifying In-Situ Combustion Performance by the Use of Water-
  qn = ratio of the heat generated by reaction n to the absolute heat                 Soluble Additives. SPE Res Eng 6 (3): 287–294. SPE-19485-PA. doi:
       content of the matrix                                                          10.2118/19485-PA.
 Qn = heat of reaction n, kJ/kg hydrocarbon reacted
  R = universal gas constant, kJ/kmole-K
  To = initial reservoir temperature, K                                           I. Yücel Akkutlu is a professor and graduate liaison of the
  vi = volumetric injection rate per cross-sectional area, m3/m2-day              Mewbourne School of Petroleum and Geological Engineering
VDn = dimensionless propagation velocity of reaction region n                     at the University of Oklahoma. He holds MS and PhD degrees
  Yi = inlet oxygen concentration, kg/kg                                          from the University of Southern California. His current research
                                                                                  interests are molecular simulation and multiscale theoretical
  s = effective thermal diffusion coefficient, m2/s                              description of fluid flow, heat/mass transport, and reactions in
 n = Arrhenius number of reaction n, E/RTo                                       porous media. His work finds applications in reservoir engineer-
 h = influence of external heat losses on reaction region tempera-               ing, particularly in the areas of unconventional gas recovery
       tures, (1 + 4hn / VDn2)1/2                                                 and improved oil recovery/enhanced oil recovery. Akkutlu has
 fn = dimensionless temperature of reaction region n                             served on the editorial board of SPE Journal and on the SPE-ATCE
                                                                                  Recovery Mechanisms and Flow in Porous Media subcommit-
 	n = dimensionless stoichiometric coefficient for oxygen                         tee since 2007. Yannis C. Yortsos is the Chester Dolley Professor of
	gn = dimensionless stoichiometric coefficient for gas products                   Petroleum Engineering and Professor of Chemical Engineering
  * = dimensionless separation distance between reaction regions                 at the University of Southern California. Since June 2005, he also
ofn = hydrocarbon mass density, kg/m3                                            serves as dean of the USC Viterbi School of Engineering, hold-
                                                                                  ing the Zohrab A. Kaprielian Chair in Engineering. Yortsos holds
   = porosity, fraction                                                          a BS degree from the National Technical University of Athens,
                                                                                  Greece, and MS and PhD degrees from the California Institute
Acknowledgments                                                                   of Technology, all in chemical engineering. Yortsos’ research
The third author was supported by the Natural Science and Engi-                   interests are in various aspects of fluid flow and transport in
neering Research Council of Canada.                                               porous media, with specific applications to the recovery of
                                                                                  subsurface fluids, such as oil and gas. Since fall 2006, he has
References                                                                        also served as the editor-in-chief of the SPE journals. G. Derya
                                                                                  Adagülü-Demirdal is a reservoir engineer with Encana, Calgary.
Adagulu, G.D. and Akkutlu, I.Y. 2007. Influence of In-situ Fuel Deposition on
                                                                                  Previously, she worked for the Turkish Petroleum Corporation
   Air Injection and Combustion Processes. J. Cdn. Pet. Tech. 46 (4): 54–61.      (TPAO) in the reservoir and production groups in Ankara, Turkey.
Akkutlu, I.Y. and Yortsos, Y.C. 2003. The dynamics of in-situ combustion          Adagülü-Demirdal holds a BS degree from the Middle East
   fronts in porous media. Combustion and Flame 134 (3): 229–247. doi:            Technical University, and MS degree from the University of
   10.1016/S0010-2180(03)00095-6.                                                 Alberta, both in petroleum engineering.
March 2010 SPE Journal                                                                                                                                 145