OMAE2016-54983: A Synthesis Model For FLNG Design
OMAE2016-54983: A Synthesis Model For FLNG Design
OMAE2016
June 19-24, 2016, Busan, South Korea
OMAE2016-54983
No
IMO RULES
Yes
STORED AS A
HULL MOTION FEASIBLE
SOLUTION
PARAMETRIZATION
The choice of the parameters that describe the platform
depends on the mathematical models applied to analyze and
evaluate the solutions. Redundant parameters must be avoided
to guarantee the reliability of the method. Only after the
establishment of all mathematical models in design process, an
optimal set of parameters should be obtained.
Besides the geometric parameters, some fixed values are
used to generate a solution. Basically they are:
Production per year (MTPA)
Fractions of LNG and LPG produced Figure 4 – Hull form parameterization
Number of operating days during the year
The set of parameters that describes the solution are:
Number of days between offloads
LOA (Length Overall)
DeckC (Deck Configuration)
B (Beam)
The last value mentioned, DeckC, was introduced to D (Depth)
identify three distinct layouts for modules on the deck. Layout Hpo (Height of stern chamfer)
1 considered the turret outside the deck at the bow of the hull Hpr (Height of bow chamfer)
with the flare, all processing modules and the living quarter at Lpo (Length of stern chamfer)
the stern of the structure. Layout 2 also considered the turret Lpr (Length of bow chamfer)
outside the deck at the bow of the hull, but the living quarters Ntanks (Number of storage tanks)
right behind it, allowing the weathervane effect to take away NtanksT (Number of storage tanks rows)
exhausting gases or any accidental leakage. In Layout 3 the hDD (Height of double deck)
turret was moved inside the hull structure and the living quarter, hDB (Height of double bottom)
as well as all generator sets and workshops, were kept ahead wDS (Wide of the double side shell)
from it. This configuration takes advantage of the
weathervaning effect and avoids the flow of gas underneath the A range for each of the parameters is defined and an
accommodation. However, moving the turret inside the deck individual is randomly created by picking parameters between
area implies the increase of hull length and produces structural these ranges.
issues. Figure 3 shows a sketch of these three different Once the parameterization is known, ranges for the
proposed topside configurations. parameter must be determined. This process, normally based on
similar projects research, aims to reduce the size of the space of
solutions.
TOPSIDE MODEL
The refining process of natural gas depends on three sets of
Layout 1 equipment: Pretreatment, Liquefaction and Utilities . Such
division can be extended to a floating plant (FLNG), except that
this structure has some additional facilities, as presented in
Table 1.
This process has as products the liquid natural gas (LNG),
Layout 2 Liquefied Petroleum Gas (LPG) and condensate. The following
Table 1 shows the main modules of the refining process of
natural gas (Ronceiros, 2008).
Layout 3
Figure 3 – Proposed topside configurations
Minimum
No
requirements
verification
Yes
Transverse Structure
Arrangement
Hydrostatic equilibrium
The procedure described above does not guarantee that the
displaced volume maintains the same during the increase of the
heel angle. To do so, one may apply an iterative method to find
the position of the water plane. In the code described here, this
search is done by changing the vertical position of the whole set
of rotated points. The search method is a simple dichotomy
algorithm and the initial interval for the search was selected
considering the amount of rotation. Small changes of angle
Figure 9 – FLNG Structural elements considered in model
produce equally small changes on water plane position while
large changes produce great modifications. It was defined a
STABILITY
Just like new FPSO, the FLNG discussed herein will receive tolerance of 0.1% of the initial displacement to stop the
a new hull, particularly designed for it. Thus, the main focus of iterations. The code described on the previous item is executed
the hull design is the stability and seakeeping characteristic. for each iteration.
Once the current position of the waterline is founded, the
The main objective of this stability model is computing the
center of the volume is computed and saved for future
righting arm (GZ) curve of the parameterized hull, considering
calculations.
free surface effects (FSE) of the tanks. It must be fast and
robust to deal with several non-linearities related to heel angles
and several tank levels, as shown in Figure 10. The main steps Tanks Volume
of the stability routine are presented below: Dividing the number of tanks by the number of tank rows,
the number of divisions in the longitudinal direction is
obtained.
Hull volume computation
All tanks are supposed to have the same dimensions, so the
Hull hydrostatic equilibrium
tanks are distributed inside the double hull span, considering
Tank volume computation the space required for the tank thermal isolation layer.
Tank equilibrium Furthermore, the tanks are not located below the living
Righting arm computation quarters, according to the Det Norske Veritas (2012) rules, and
nor in the inclined bottom region.
Hull volume computation For the first approach, it was assumed that the vessel load is
Using a set of parameters, shown in Figure 4, the vertices of a homogeneous liquid equally distributed in the tanks.
the geometry are generated. A rotation around the 𝑥 axis is The volume of the tank was calculated using the same
performed, corresponding to the desired heel angle. The routine routine presented before except for the geometry change (a set
only computes transversal stability, but through the addition of of 6 planes plus the water plane).
other direction (around the y axis) to the rotation matrix it could
also calculate longitudinal stability. Tank Equilibrium
Using the rotated set of points, 8 planes can be defined by In order to guarantee that the volume estimates in the tanks
the normal vectors, calculated using cross product between two are correct even for large heel angles, the equilibria of the tanks
pair of vertices. The water plane was also defined by its normal, must be calculated. The same iterative method applied for each
a positive unitary vertical vector applied at point 𝐭 = [0 0 𝑡]. tank was used to estimate the position of the water plane area.
Two by two, all the defined planes were intersected with the The free surface shape can change drastically while the heel
water plane producing a cloud of points. Only the points inside angle is modified, especially if the tank is near empty or near
the hull volume were selected. This was done by comparing full, as presented in Figure 10.
signals of inner products between planes’ normal vectors and
the point of the cloud. This procedure produces the vertices of
Figure 10 – Change on the free surface area for 10º heel angle
4
GZ [m]
Once the position of the free surface of the tank is
2
determined, the centroid is calculated and this information is
replicated for all the tanks.
0
2
HULL MOTION
Numerical Model
GZ [m]
Downtime Evaluation
(a) Model with turret outside the hull Another subroutine is responsible to post-processing the
results provided by WAMIT. This subroutine uses a list of
points of interest and a set of local (Santos Basin, Brazil)
environmental conditions to evaluate RAOs, accelerations and
natural periods.
The FLNG will use a turret as mooring system (Leite, et al.
1999), so regardless of the wave direction, an approach using a
30 degrees offset between the vessel and the wave was
considered. It can be not a conservative approach, once in
(b) Model with turret inside the hull extreme environmental conditions this angle can be greater than
Figure 13 – Example wetted surfaces of a FLNG hull.
30 degrees, but it is sufficient to compare the solutions between
themselves. In further design stages, extreme conditions must
For the simulations, the code default settings and higher-
be considered to evaluate downtime, structural resistance and
order method with a panel size equal to 15 meters will be used.
mooring system performance.
More details can be found in WAMIT (2012).
The properties of mass and inertia are obtained in previous
DATA ANALYSIS
calculations and will be inserted in the model through a mass
In this section an example of data analysis is presented. A
and inertia matrix.
To an extensive analysis of the cases an automation of the simulation using the input parameters presented in Table 2 was
carried out and 350 feasible cases were generated.
numerical model was proposed. This automation includes a
computational routine which follows the data stream shown in
Table 2 – Input parameter of example case.
Figure 14.
Production per year (MTPA) 4
Fraction of LNG 75%
Synthesis
Synthesis Model
Model
Fraction of LPG 25%
Number of operating days during the year 300
Number of days between offloads 21
DeckC (Deck Configuration) 1
RAOs, Accelerations
and Natural Periods