Source  Characteristics  of  the  22  January  2003  M
w
  =  7.5  Tecoman,   Mexico,   Earthquake:
New  Insights
LUIS  QUINTANAR,
1
HE
CTOR  E.   RODRI
GUEZ-LOZOYA,
2
ROBERTO  ORTEGA,
3
JUAN  M.   GO
MEZ-GONZA
LEZ,
4
TONATIUH  DOMI
NGUEZ,
5
CLARA  JAVIER,
6
LEONARDO  ALCA
NTARA,
7
and  CECILIO  J.  REBOLLAR
8
AbstractAftershock   locations,   source   parameters   and   slip
distribution   in   the   coupling  zone   between   the   overriding   North
American  and  subducted  Rivera  and  Cocos  plates  were  calculated
for the 22 January 2003 Tecoman earthquake. Aftershock locations
lie  north  of  the  El  Gordo  Graben  with  a  northwest-southeast  trend
along  the  coast  and  superimposed  on  the  rupture areas  of  the  1932
(M
w
  =  8.2)   and   1995   (M
w
  =  8.0)   earthquakes.   The   Tecoman
earthquake  ruptured  the  northwest  sector  of  the  Colima  gap,  how-
ever,  half  of  the  gap  remains  unbroken.  The  aftershock  area  has  a
rectangular  shape  of  42    2  by  56    2  km  with  a  shallow  dip  of
roughly 12 of the Wadati-Benioff zone. Fault geometry calculated
with   the   Nabelek   (1984)   inversion   procedure   is:   (strike,   dip,
rake)  =  (277,   27,   78).   From  the  teleseimic  body  wave  spectra
and  assuming  a  circular  fault  model,  we  estimated  source  duration
of 20    2  s, a stress drop of 5.4    2.5  MPa and a seismic moment
of   2.7    .7  9  10
20
Nm.   The  spatial   slip  distribution  on  the  fault
plane  was  estimated  using  new  additional  near  eld  strong  motion
data  (54  km  from  the  epicenter).   We  conrm  their   main  conclu-
sions,   however   we  found  four   zones   of   seismic  moment   release
clearly  separated.  One  of  them,  not  well  dened  before,  is  located
toward the coast down dip. This observation is the result of adding
newdata in the inversion. We calculated a maximumslip of 3.2  m, a
source duration of 30  s and a seismic moment of 1.88  9  10
20
Nm.
Key  words:   Rupture   process,   focal   mechanism   inversion,
waveform  modeling.
1.   Introduction
The  subduction  zone  that   encompasses  the  Mex-
ican   states   of   Jalisco   and   Colima,   (Fig.  1a)   has
produced the largest earthquakes in Mexico. Offshore
of  the  state  of  Colima,   the  Rivera,   Cocos  and  North
America  plates  interact  (Fig.  1a).  In  this  seismogenic
area   the   1932,   magnitude   8.2,   Jalisco   earthquake
occurred,   the  largest   earthquake  in  Mexico  in  recent
documented   seismological   history   (SINGH   et   al.,
1985;   SUA
REZ   et   al.,   1994).   The   22   January   2003
(M
w
  =  7.5)   Tecoman  earthquake   occurred  between
the  rupture  areas  of  the  9  October  1995  (M
w
  =  8.0)
ColimaJalisco  earthquake  and  the  30  January  1973
(M
w
  =  7.6)  Colima  earthquake  (see  Fig.   1b)  (REYES
et   al.,   1979;   PACHECO   et   al.,   1997).   The   Tecoman
earthquake  was  located  by  the  University  of  Colima
at   18.625  N,   104.125  W,   at   a  depth  of  10  km  and
with  an  origin  time  of  02  h  06  min  and  35.0  s.   This
earthquake   badly   damaged   the   state   of   Colima,
damaging  and  collapsing  adobe  houses,  unreinforced
masonry  structures   and  construction  in  poorly  con-
solidated lls, and producing landslides. Liquefaction
was  also  observed  in  the  Manzanillo  port.
A  preliminary  study  of   the  Tecoman  earthquake
was   carried   out   by   SINGH   et   al.,   (2003).   They
reported  a  preliminary  aftershock  area,   gross  source
characteristics,  attenuation  of  strong  motion  data  and
an   isoseismal   map.   NU
EZ-CORNU   et   al.,   (2004)
reported   the   aftershock   locations   of   the   rst   72  h
after   the   main   shock   and   found   that   the   seismic
activity   was   mainly   in   the   continental   plate   along
two   NWSE   trending   zones.   YAGI   et   al.,   (2004)
estimated  the  spatial  and  temporal  slip  over  the  fault
plane  of  the  Tecoman  earthquake,   inverting  regional
strong   motion   data   as   well   as   teleseismic   body-
C.  J.  Rebollar:  deceased  September  2006.
1
Instituto   de  Geof sica,   Universidad  Nacional   Autonoma  de
Mexico, Mexico D.F., Mexico. E-mail: luisq@ollin.geosica.unam.mx
2
Facultad   de   Arquitectura,   Facultad   de   Ingenier a   Civil,
Universidad  Autonoma  de  Sinaloa,  Culiacan,  Mexico.
3
Centro de Investigacion Cient ca y de Educacion Superior
de  Ensenada,  Unidad  La  Paz,  La  Paz,  Mexico.
4
Centro de Geociencias, Universidad Nacional Autonoma de
Mexico,  Juriquilla,  Queretaro,  Mexico.
5
Observatorio   Vulcanologico   de   Colima,   Universidad   de
Colima,  Colima,  Mexico.
6
Comision Federal de Electricidad, Gerencia de Estudios de
Ingenier a  Civil,  Guadalajara,   Mexico.
7
Instituto de Ingenier a, Universidad Nacional Autonoma de
Mexico,  Mexico  D.F.,   Mexico.
8
Centro de Investigacion Cient ca y de Educacion Superior
de  Ensenada,  Ensenada,  Mexico.
Pure  Appl.  Geophys.
  2010  Springer  Basel  AG
DOI  10.1007/s00024-010-0202-1
  Pure  and  Applied  Geophysics
waves.   The  closest   near   eld  strong  motion  station
they  used  was  located  138  km  from  the  epicenter.  In
the  inversion  process   they  used  a  slightly  modied
fault   plane  geometry  reported  by  the  Harvard  CMT
solution.   They   found   three   stages   in   the   rupture
process:   (1)   the   rupture   nucleated   near   the   hypo-
center,   (2)   the  rst   asperity,   centering  about   15  km
southwest   from  the   epicenter,   was   broken   and   (3)
the   rupture   propagated   to   the   northeast   and   the
second  asperity  was  broken.
In the present study, we revise the aftershock area
employing  newly  calculated  hypocenters  using  arri-
val   times   recorded   at   the   Colima   seismic   network
(Red  Sismica  de  Colima,  RESCO)  and  nine  portable
seismic   stations   deployed   by   CICESE   (Centro   de
Investigacion  Cient ca  y  de  Educacion  Superior  de
Figure  1
a  Tectonic  framework  of  the  ColimaJalisco  region.  b  Location  of  earthquakes [7  that  have  occurred  in  the  ColimaJalisco  region.   Light
dashed lines show the rupture area of the 1932 (M
w
  =  8.2) earthquake (SINGH et al., 1985). Heavy dashed line is the rupture area of the 1995
(M
w
  =  8.0)  earthquake  (PACHECO  et  al.,   1997).   Also  shown  are  the  aftershock  areas  of  the  1973  (M
w
  =  7.3)  and  1986  (1980)  (M
w
  =  7.0)
earthquakes. Continuous line  is  the  aftershock  area  of  the  2003  Tecoman  earthquake. Available  focal  mechanisms  are  also  shown. EPR  east
Pacic  rise
L.  Quintanar  et  al.   Pure  Appl.  Geophys.
Ensenada).  We  found  that  the  aftershocks  lay  mainly
along  the  coupling  zone  of  the  plates  and  inside  the
subducted  slab.   We  also  calculated  the  stress   drops
and   source   duration   of   the   main   event   with   the
spectral   analysis   of   body   P-waves   recorded   by
broadband   seismic   stations   located   at   teleseismic
distances,   following   BEZZEGHOUD   et   al.,   (1989),
assuming a circular fault model (BRUNE, 1970). In this
study of the Tecoman event, we used near eld strong
motion waveforms recorded  at  the Manzanillo  power
plant   located  54  km  from  the  epicenter;   data  which
have   not   been   previously   used.   We   combined   this
strong-motion  data  with  the  data  used  by  YAGI et al.,
(2004)   to  obtain  the  slip  on  the   fault   plane   and  to
analyze   how  much   the   additional   near   eld   data
modied  the  previously  reported  slip  distribution  on
the  fault.
2.   Tectonic  and  Historical  Seismicity
West   of   the   Mexican   Volcanic   Belt   lies   the
junction  of   the  North  American,   Pacic  and  Cocos
plates.   The   Rivera   and   Cocos   plates   subduct   at   a
rate  of   5  cm/year   (KOSTOGLODOV  and  BANDY,   1995)
beneath  North  America,   below  the  states  of   Colima
and  Jalisco.   In  the  North  American  plate  a  tectonic
block  called  the  Jalisco  Block  (JB)  is  limited  to  the
west   by  the  Rivera  plate,   to  the  south  and  southeast
by   El   Gordo-Colima   graben   and   toward   the   east
and   northeast   by   the   Chapala   and   Tepic-Zacoalco
Grabens   (Fig.  1a).   Major   seismic   activity   is   due
mainly  to  the   collision  of   the   CocosRivera   plates
with   the   North   American   plate   and   occurs   in   the
coupling   zone.   Depths   of   major   underthrusting
earthquakes   range  from  10  to  32  km.   According  to
PARDO  and  SUA
REZ,   (1995)   seismic  activity  starts   to
decrease  toward  Bahia  Banderas,   located  northwest
of   the  JB,   reaching  depths   on  the  order   of   100  km
(see  Fig.   1a).   The  Wadati-Benioff  zone  increases  its
dip   from  *25   in   the   southeast   to   46   toward
Bahia   Banderas.   Table  1   and   Fig.   1b   shows   the
location,   rupture   areas,   and   seismic   moments   of
earthquakes  of   magnitude [7  that   have  occurred  in
this   region.
3.   Data  Recording  Systems
The   Volcanic   Observatory   of   the   University   of
Colima  maintains  a  short  period  and  broadband  tele-
metered   network   of   seismic   stations   around   the
Colima   volcano   and   along   the   Colima   coast.   This
network,   called  Red  S smica   de   Colima   (RESCO),
consists   of   11   short   period   seismometers   and   2
broadband  CMG-40T  Guralp  seismometers.  Data  are
continuously  recorded  and  sent   by  radio  links  to  the
University  of  Colima  where  they  are  stored  and  ana-
lyzed.  RESCO  stations,  which  record  at  100  samples
per   second,   recorded  the  Tecoman  event   and  all   its
aftershocks.  A  week  after  the  occurrence  of  the  main
event,   CICESE  deployed  a  portable  seismic  network
of   nine  short   period  GBV  seismic  recorders   with  a
natural   period   of   4.5  Hz,   as   well   as,   a   broadband
Guralp  CMG-40T  seismometer  that  recorded  contin-
uously at 100 samples per second with a CMG-SAM2
acquisition  module.   All  GBV  seismic  stations  recor-
ded  in  a  triggered  mode  at   100  samples  per  second.
Figure  2a  shows  the  location  of  the  seismic  stations
and Fig.  2b the location of the strong motion stations.
4.   Aftershock locations and dip of the Wadati-Benioff
zone
Aftershock   locations   were   determined   with   the
HYPO71   program  using   a   one-dimensional   crustal
structure  (shown  in  Table  2)   routinely  used  by  RE-
SCO. Due to the occurrence of the aftershocks toward
the   ocean  and  the   location  of   the   seismic   stations,
azimuthal   coverage  is  poor.   We  located  aftershocks
that   included  P  and  S  wave  arrival   times  at   seismic
stations   located   along   the   coast   in   order   to   better
constrain focal depths. Figure  3 shows an example of
the   traces   of   an  aftershock  recorded  in  19  seismic
stations.   Impulsive   P  wave   arrivals   as   well   as   the
onsets  of   S  waves  can  be  seen.   We  started  locating
aftershocks with initial xed depths in the range from
10  to  50  km  with  steps  of  5  km.   From  the  HYPO71
outputs   we  chose  those  locations   with  average  root
mean   square   error   of   time   residuals   (rms)   of
0.6    0.3  s,   average  standard  error   of   the  epicenter
Source  Characteristics  of  Tecoman  Earthquake
(ERH) of 3.3    1.8  km and average standard error of
the  focal   depth  (ERZ)   of   3.1    2.8.   The  errors   are
plus   or   minus   one  standard  deviation.   Ninety  after-
shocks   fullled  the   above   mentioned  error   criteria.
Local  magnitudes  of  the  located  events  range  from  2
to  3.
Figure  4 shows the location of the aftershocks in a
plan view, from which it can be seen that the activity
lies north of El Gordo Graben and that the aftershock
area   encompasses   parts   of   the   rupture   areas   of   the
1932 and 1995 events. The area between the limits of
the   rupture   areas   of   the   1995   and  the   1973  earth-
quakes is the Colima seismic gap. The northwest area
of   this   gap  ruptured  with  the  Tecoman  earthquake.
Toward the southeast, roughly half of the gap remains
unbroken.
Figure  5   shows   vertical   cross-sections   of   after-
shocks   projected   perpendicular   and   parallel   to   the
middle   America   trench  (MAT)   as   well   as   the   pro-
jection of the P-axes of the Tecoman event and two of
the   largest   aftershocks   of   magnitudes   5.7   and   5.3.
Also  shown  is  the  projection  of  the  1995  M
w
  =  8.0
ColimaJalisco   event.   The   hypocenter   (where   the
rupture  started)  of  the  Tecoman  event  lies  within  the
coupling  zone  between  the  subducted  CocosRivera
plates  and  the  overriding  North  American  plate.   The
boundary  between  the  subducted  slab  and  the  conti-
nental   crust   was   taken   from  cross   section   K   of
PARDO  and  SUA
REZ,   (1995).   The  source  mechanisms
of  the  main  event  and  two  of  the  largest   aftershocks
were  all  thrust  events.   The  projections  of  the  P-axes
of   the  main  event   and  the  largest   aftershocks   show
that   these   compressional   axes   are   oblique   to   the
interface of the overriding and subducted slab. One of
the  aftershocks  (focal   depth  of   5  km)   was  an  inter-
plate  event,   while  the  second  large  aftershock  (focal
depth  of  14  km)  was  an  intraplate  event.  Fault  plane
solutions  of  the  largest   aftershocks  were  taken  from
SINGH  et  al.,   (2003).   Using  the  obtained  aftershocks
depth,   we  inferred  that   the  Wadati-Benioff   zone  in
the  coupling  area  has  a  dip  of  12  up to  a distance of
85  km  from  the   trench   (see   Fig.   5a);   beyond   that
point   the  Wadati-Benioff   increases   to  a   dip  of   50
according  to  PARDO  and  SUA
REZ,   (1995).   Most  of  the
aftershock   activity   of   the   2003   Tecoman   sequence
occurred   within  the   subducted  plate   and   along   the
overriding  North  American  plate.   The  thick  line  on
Fig.   5a   depicts   our   interpretation   of   the   coupling
zone.   On  the  other  hand,   Fig.  5b  shows  a  cross-sec-
tion parallel to the MAT, from this gure we roughly
calculated  a  rupture  area  of  44 by  58  km.  Aftershock
depths  range  from  5  to  38  km.
5.   Focal  Mechanism  Determination
To   obtain   the   fault   geometry   we   carried   out   a
waveform  inversion  with  the   point   source   approxi-
mation   using   P   and   SH   recorded   at   teleseismic
distances   following  Nabelek  (1984).   We   used  data
from   stations   at   epicentral   distances   between
30 \D
P
\91  and  35 \D
SH
\83  for  P  and  SH
waves,   respectively.   Various  corrections  were  inclu-
ded  for   a   direct   comparison  between  synthetic  and
observed  seismograms.  Such  corrections  take  care  of
the  geometrical  spreading,  the instrumental  response,
Table  1
Location  and  seismic  moments  of  earthquakes  of  magnitude [7  that  have  occurred  in  the  study  region
Date   H:min.   Lat.   Lon.   Seismic  moment  (Nm)   Magnitude  (Ms
c
,  M
w
a
)   Depth  (Km)
19000120   06:33   20.00   -105.00      7.4
c
19320603   10:36   19.80   -104.00   9.10  9  10
20
8.2
c
,   8.0
a
16.0
19320618   10:12   18.95   -104.42   7.3  9  10
20
7.8
c
16.0
19410415   19:09   18.85   -102.94      7.7   
19730130   21:01:00   18.39   -103.21   3.0  9  10
20
7.3
bc
32.0
19950910   15:35:53.0   19.05   -104.20   9.1  9  10
20
8.0   17.0
20030122   02:06:33.8   18.625   -104.125   1.60  9  10
20
7.4
a
10.0
a
RESCO
b
Reyes  et  al.  (1979)
c
Pacheco  and  Sykes  (1992)
L.  Quintanar  et  al.   Pure  Appl.  Geophys.
the   amplitude   and  phase   distortions   which  are   due
to  a   layered  crust.   The   anelastic   attenuation  of   the
Earth   (FUTTERMAN,   1962)   is   responsible   for   these
distortions.   To  correct   for   it,   we   used  a   frequency
independent   Q  average  seismic  quality  factor   along
the ray, which is assumed a constant value of t*  =  T/Q,
where T  is the  ray  travel  time.  Here we used t*  =  1.0
and 4.0  s for P and SH waves, respectively.
The   effects   of   the   structure   below  the   receiver
were  neglected  and  we  consider   the  response  to  be
Figure  2
a Location of RESCO (full triangles) seismic stations and CICESE (crosses) portable stations. b Map showing the strong motion instruments
from UNAM (full squares). Empty square shows the location of the Manzanillo strong-motion recorder located in the Manzanillo power plant
Table  2
Velocity  model  used  for  aftershocks  location
P-wave  velocity  (km/s)   Layer  depth  (km)
1.7   0.0
2.7   2.0
3.6   3.0
4.6   4.0
5.7   6.0
6.0   12.0
7.4   18.0
7.8   35.0
Source  Characteristics  of  Tecoman  Earthquake
controlled  mostly  by  the  source  radiation  pattern  at
the  near   source  structure.   Greens   functions   around
the   source   were   computed  and  a   stratied  velocity
model   was   assumed  (Table  3)   based  on  the  crustal
structure  of  REYES et al.,  (1979).  A  simple  half-space
model   at   the   receiver   was   used   (V
p
  =  6.0  km/s,
V
s
  =  3.46  km/s,   q  =  2.8  g/cm
3
and  a  Poisson  ratio
of  0.25).   Seismograms  were  band-pass  ltered  using
a  third-order   Butterworth  lter   from  0.01  to  0.4  Hz
and corrected for instrument responses. Sixty seconds
of  vertical   P  and  transverse  SH  wave  displacements
were   obtained   through   integration   of   the   velocity
records.   Good  station  coverage  made  it   possible  to
obtain  the   fault   geometry.   The   event   was   modeled
using  7  overlapping  triangles  with  2.5  s  of  rise  time.
We  obtained  the  following  mechanism:   (strike,   dip,
rake)  =  (277,   27,   78),   and   a   scalar   seismic
moment   of   1.3  9  10
20
Nm  and   a   apparent   source
time   function   of   20  s.   By   searching   for   the   best
centroid   depth,   the   residual   error   minimized   at
25  km,   which   is   similar   to   that   reported   by   YAGI
et   al.,   (2004).   Waveform  tting  was   good  even  for
SH  waves,  which  are  usually  difcult  to  t.  Figure  6
shows  a  comparison  between  observed  and  synthetic
waveforms  and  the  apparent  source  time  function.  P-
wave   tting   around   the   fault   plane   is   reasonably
good.   Southward  stations,   in  the  dilatation  quadrant
close   to   the   sub-vertical   nodal   plane   (PTCN  and
RPN),   constrained   the   strike   of   the   south   dipping
plane.  This  is  important  because  most  of  the  stations
Figure  3
Example  of  an  aftershock  recorded  by  the  19  seismic  stations  (only  the  vertical  component  is  shown).  Impulsive  P-wave  arrivals  and  clear
onsets  of  some  S  waves  can  be  seen;  traces  are  normalized  to  one.  Names  of  the  seismic  stations  are  indicated
L.  Quintanar  et  al.   Pure  Appl.  Geophys.
were   distributed   into   the   compression   quadrant.   A
similar  good  quality  tting  was  found  for  SH-waves;
stations PTCN, DSB, HRV, and MTE xed one of the
nodal   planes.   The   NA
BE
LEK,   (1984)   point   source
waveform  tting   was   good   to   constrain   the   fault
geometry,   however,   it   clearly   underestimated   the
seismic  moment   and  the  apparent   source  time  func-
tion (also shown in the middle). Finite two-dimension
source  inversion  (described  later)  showed  that   some
patches   of   slip   are   detected   by   near   eld   stations
which  raised  the  scalar   moment,   and  that   displace-
ment   could   not   be   detected   by   the   point   source
approximation   at   teleseismic   distances,   especially
those  displacements  near  the  edge  of  the  fault  plane.
6.   Static  Stress  Drop  Estimate
We calculated the P-wave spectra of the Tecoman
earthquake  recorded  at   broadband  stations  at   telese-
ismic   distances.   We   used   IRIS   and   GEOSCOPE
seismic  stations  in  order  to  estimate  source  parame-
ters. P-wave windows of 70  s, which included 10  s of
noise  prior   to  the  P-wave  arrival   and  60  s  of   the  P
wave  trains,   were  used  in  the  spectral   analysis.   No
lter   was  applied  to  the  P  wave  trains.   After   calcu-
lating  the   fast   Fourier   transform,   we   estimated  the
seismic  moment  rate  at  each  seismic  station  by:
o
ot
M  f     
  4pqa
3
a
g  D; h    Ci
Q  f    W  f    
I   f    S
rad
  f       
  1
where q  is  the  density  at  the  source, a  is  the  P  wave
velocity  at   the  source,   a  is   the  radius   of   the  earth,
C(i)   is   the   surface   amplication   at   the   ith  seismic
station,  Q(f)  is  the  seismic  attenuation,  g(D,  h)  is  the
geometrical  dispersion,   W(f)  is  the  spectral  displace-
ment, I(f) is  the instrument response  and S
rad
(f) is  the
radiation  pattern  as  a  function  of  frequency  of  the  P,
pP  and  sP  waves.
Data   was   corrected   for   instrument   response,
attenuation,   and   radiation   pattern.   Following   BEZ-
ZEGHOUD  et   al.,   (1989),   we  substituted  the  effective
radiation  pattern  S
rad
(f)  with  the  approximation:
S
rad
0  R
P
R
pP
R
sP
2
where  R
P
,   R
pP
,   R
sP
are  the  P,   pP,   and  sP  radiation
pattern,   respectively.   The   fault   geometry   used   to
calculate   the   radiation  pattern  was   strike   277,   dip
27   and   rake   78.   According   to   the   hypocenter
(25  km), the pP and sP wave trains arrived 7 and 10  s
after   the  direct   P  wave.   The  attenuation  operator   t*
was   assumed  to  be  1.0.   The  static  seismic  moment
was  calculated  from  the  following  expression:
M
0 
  o
ot
M0 
  4pqa
3
a
g  D; h    Ci
Q0W0
I0S
rad
0   
  3
Figure  7  shows  the  plot   of  the  logarithmic  mean
of corrected moment rate spectra determined from the
broadband  displacement   records  of   15  P-waveforms
recorded  at   teleseismic  stations.   An  average  seismic
moment   of  2.7    0.7  9  10
20
Nm  (2.7    0.7  9  10
27
dynes  cm)   was   determined.   From  the   spectra   we
obtained  a  corner  frequency  of  f  =  0.05    0.005  Hz
and  a  slope  at   higher  frequencies  of  -2.4.   The  rup-
ture  time  needed  for   the  rupture  to  propagate  along
the  fault  is  approximately:
T
R 
  L
v
R
4
Where T
R
 is the rupture time, which is the inverse
on  the  corner  frequency,   L  is  the  length  of  the  fault
Figure  4
Map  showing  our  best  aftershock  locations  (empty  circles).   Large
full   square   shows   the   epicenter   location  of   the   Tecoman  earth-
quake.   Its  fault   plane  solution  is  also  shown.   Large  empty  square
shows  the  epicenter  location  of  the  ColimaJalisco  earthquake  of
1995  (M
w
  =  8.0).   Proles   AA
0
  and  BB
0
  are   cross   sections   onto
which  aftershocks  were  projected  shown in  Fig.  5. Triangles  show
the  locations  of  seismic  stations
Source  Characteristics  of  Tecoman  Earthquake
and  v
R
  is  the  rupture  velocity.  Therefore,  the  rupture
time is 20    2  s and the rupture length is 66    5  km,
assuming a rupture velocity  of 0.9V
s
 (3.3  km/s). This
calculated  rupture  length  lies  within  the  range  of  the
aftershock   length   calculated   with   the   aftershock
activity  (56    2  km).   The  stress   drop  on  a  circular
fault  (BRUNE,   1970)  with  radius  R  is  given  by
Dr 
  7
16
M
0
R
3
  5
From  the   aftershock   area   we   calculated   a   fault
length   of   56    2  km   so   the   fault   radius   R   is
28    2  km.   Therefore,   the   stress   drop   of   the
Tecoman   earthquake   is   5.4    2.5  MPa.   This   value
contrasts  with  the  higher  value  (*10  MPa)  obtained
by   YAGI   et   al.,   (2004)   using   regional   and   local
records.
7.   Slip  Distribution  Inversion
BERESNEV,   (2003)   argued  that   incorrect   assump-
tions   of   crustal   structure,   rupture   velocity,   fault
geometry  and  array  geometry  will  generate  geologic
artifacts   in   the   inversion   of   seismic   data   for   slip
Figure  5
a Cross section of seismicity along prole AA
0
. b cross section of seismicity along prole BB
0
. Arrows show the projection of the P axes for
the Tecoman earthquakes and two of its largest aftershocks. Subducting plate geometry was taken from PARDO and SUA
REZ, (1995). See Fig.  4
for  prole  locations
Table  3
Velocity  model  used  for  focal  mechanism  determination  with
teleseismic  records
Thickness  (km)   V
p
  (km/s)   V
s
  (km/s)   q  (g/cm
3
)
6.0   5.80   3.35   2.68
19.0   6.40   3.69   2.78
10.0   7.00   4.04   2.85
   8.00   4.62   3.00
L.  Quintanar  et  al.   Pure  Appl.  Geophys.
distribution  of   nite   faults.   On  the   other   hand,   IDE
et  al.,   (2005)  suggested  that  the  quality  and  quantity
of  the  data  is  critical  to  constrain  the  source-imaging
problem.  So,  in  line  with  those  opinions,  we  decided
to  do  the  source  imaging  of  the  Tecoman  event  with
better-constrained fault geometry and the inclusion of
near  eld  strong  motion  data  not   used  previously  in
the  study  of  the  Tecoman  event.   Figure  8  shows  the
acceleration  records   of   the  free-eld  strong  motion
station located at the Manzanillo power plant (MNZ).
We  also  used  data  recorded  at  IRIS  and  GEOSCOPE
broadband  stations,   strong  motion  records   from  the
Servicio  Sismologico  Nacional   (SSN)   and  Instituto
de   Ingenieria,   UNAM  (Fig.  2).   To   obtain   the   slip
over  the  rupture  area  of  the  Tecoman  earthquake,  we
used   the   method   described   by   YAGI   et   al.,   (1999,
2004)   following   the   formulation   of   HARTZELL   and
HEATON,   (1983),   YOSHIDA  (1989,   1992).   The  rupture
process  is  simulated  as  a  spatio-temporal   slip  distri-
bution over the fault plane. The fault plane is divided
Figure  6
Point source inversion from body wave broadband data. a Observed P wave seismograms (black lines) and synthetics (red lines). The source
time function was about 20  s and the  corresponding seismic moment is  1.3  9  10
20
Nm. b  Observed SH  wave seismograms (solid lines)  and
synthetics  (dashed lines).  The  solution  corresponds  to  an  underthrust  event  with  (strike,  dip,  rake)  =  (277,  27,  78).  The  axes  indicate  the
amplitude  of  the  waves  in  microns
Source  Characteristics  of  Tecoman  Earthquake
into  M  9  N  sub-faults  with  length  xx  and  width  yy.
The  slip-rate  function  at   each  sub-fault   is  described
with B splines that are a series of L triangle functions
with  rise  time  s.   Slip  vectors   at   each  sub-fault   are
taken  as   vectors   with  components   given  by  k
0
,   the
assumed slip angle. The synthetic waveform at the jth
station  is  given  by
W
obs
j
  t
i  
X
m
X
n
X
l
X
k
X
mnlk
g
mnkj
  t
i
  l 1    s T
mn
    e;
where   X
mnlk
  is   the   lth   component   of   slip   at   mnth
subfault at kth time step. g
mnkj
 is the Greens function
from a point source at the mn-subfault, T
mn
 is the start
time of the slip of the basis functions at each sub-fault
and e is assumed to be a Gaussian error with variance
r.   Greens  functions  for  teleseismic  body  waves  are
calculated  using  the  KIKUCHI   and  KANAMORI,   (1991)
method.   Greens   functions   for   near   eld   ground
motion  are  calculated  by  the  discrete  wave  number
method   developed   by   KOHKETSU,   (1985).   Table  4
shows the one-dimensional elastic models used in the
calculation  of   the  Greens   functions.   This   model   is
the  same  used  by  YAGI   et   al.   (2004)   for  teleseismic
stations   and   has   been   modied   lightly   for   strong
motion  stations  to  take  into  account  the  inclusion  of
the  MNZ  accelerograms.
In  the  inversion  process  we  used  the  fault  geom-
etry  previously  calculated  with  the  NA
BE
LEK,   (1984)
method given by (strike, dip, slip)  =  (277, 27, 78).
We   used  a   larger   fault   area   in  order   to  follow  the
same  procedure  of   YAGI   et   al.,   (2004),   even  though
the  observed  aftershock  area  is  smaller.   We  consid-
ered a rupture area with a width of 70  km, a length of
100  km and divided the fault plane into 14  9  20 sub-
faults with length of 5  km and width of 5  km. Twenty
ve  kilometers  depth  of  the  initial   front   rupture  was
assumed. The slip-rate function on each sub-fault was
expanded  into  a  series  of  twelve  triangles  with  a  rise
time   of   2.0  s   and   the   slip   angle   kept   unchanged
during  the  rupture.   We  used  a  rupture  wave  velocity
of  3.3  km/s.
It  is  instructive  to  investigate  how  well  the  MNZ
accelerogram  ts  with  our   estimated  fault   geometry
(strike,   dip,   slip)  =  (277,   27,   78)  and  YAGI   et   al.
(2004) fault geometry (strike, dip, slip)  =  (300, 20,
93).  Figure  9  shows  the  comparison  of  the  observed
and  synthetic  accelerograms  of  MNZ  with  both  fault
Figure  7
Average displacement spectra of teleseismic P waveforms of the Tecoman earthquake. f is the corner frequency and dashed lines indicate the
trend  at  lower  and  higher  frequencies.  The  slope  at  higher  frequencies  is  -2.4
L.  Quintanar  et  al.   Pure  Appl.  Geophys.
geometries.   Both   geometries   reproduce   the   main
amplitudes,  but  our  fault  geometry  t  better  the  later
parts  of  the  accelerograms  of  the  vertical  and  north
south components; however both geometries failed to
adequately  t  the  eastwest  component,  even  though
our   fault   geometry  better   t   the  initial   onset   of   the
rst  arrivals.
We   performed  the  inversion  with  the  near   eld
strong   motion   data   and   the   far   eld   P-waveforms.
Comparisons   of   the   observed   and   synthetic   wave-
forms,   shown   in   Fig.   10,   indicate   that   the   ts   are
good.   The   seismic   moment   was   1.88  9  10
20
Nm
equivalent to a moment magnitude of 7.5. The source
time  duration  lasted  nearly  30  s,   but   the  majority  of
the   energy   was   released   during   the   rst   20  s,   in
agreement   with  the  source  time  duration  calculated
with the teleseimic spectra  and NA
BE
LEK (1984) point
source   inversion.   Figure  11  show  a   horizontal   pro-
jection   of   the   slip   distribution   on   the   fault   plane,
which  consisted  mainly  of  the  same  seismic  moment
release   found   by   YAGI   et   al.,   (2004),   however,   it
shows   two   additional   zones   of   seismic   moment
release  up-dip  and  down-dip  which  are  barely  shown
in  YAGI   et  al.,   (2004)  inversion.   The  maximum  fault
slip  was  3.2  m.
8.   Summary
We  used  data  recorded  by  a  permanent   network
of   short   period   and   broadband   seismic   stations
(RESCO)  and  nine  portable  seismic  stations  in  order
determine  the  aftershock  area  of  the  Tecoman  earth-
quake.   Figure  4   shows   our   aftershock   locations.   A
depth  of   10  km  for   the  hypocenter   of   the  Tecoman
earthquake   was   calculated   with   P-wave   arrivals   of
local   stations;   we  think  that   the  rupture  could  have
started at this depth. The depths of the main event and
the  aftershocks  dened  a  shallow  dip  of  the  Wadati-
Benioff   zone   of   roughly   12   (Fig.  5).   Beyond   the
aftershock  area,   the  Wadati-Benioff  dip  increases  to
50 according to PARDO and SUA
REZ, (1995), however
we did not located any aftershock activity at the bend
of   the  subducted  slab.   We  inferred  an  approximate
aftershock area with a rectangular shape of 42    2 by
56    2  km.   Aftershocks   were   located   toward   the
north  of  the  location  of  the  epicenter  of  the  Tecoman
Figure  8
Acelerograms   recorded   in   the   Manzanillo   (MNZ)   power   plant
located  54  km  from  the  epicenter
Table  4
Velocity  model  used  for  rupture  process  inversion  with  local,
regional  and  teleseismic  records
a  (km/s)   b  (km/s)   q  (10
3
kg/m
3
)   Qa   Qb   Thickness
(km)
For  teleseismic  body  wave
1.5   0.0   1.0   1.0
5.54   3.20   2.50   3.0
5.69   3.29   2.70   5.0
6.27   3.62   2.80   9.70
6.71   3.87   2.90   17.30
8.10   4.68   3.30   
For  strong  ground  motion
5.69   3.37   2.70   500   250   9.0
6.27   3.54   2.80   600   300   9.7
6.71   3.82   2.90   800   400   17.3
8.00   4.53   3.25   1,200   600   
Source  Characteristics  of  Tecoman  Earthquake
event,  and  they  enclose  the  southeast  aftershock  area
of   the   9  October   1995   (M
w
  =  8.0)   ColimaJalisco
earthquake.   The   Tecoman   earthquake   ruptured
approximately  half   of   the   Colima   gap.   Most   after-
shocks   occurred  inside  the  subducted  slab,   and  our
aftershock  locations  (Fig.  5)  have  features  similar  to
those   reported   by   NU
EZ-CORNU   et   al.,   (2004)   and
YAGI   et   al.,   (2004).   For   example,   they   report   an
elongated   trend   of   aftershocks   from  southeast   to
northwest   and   three   clusters   of   activity;   however,
their locations have a trend toward the southwest. Our
aftershock  locations   are  spread  in  an  extended  area
close   to   the   seashore   with   some   of   the   features
reported   by   NU
EZ-CORNU   et   al.,   (2004)   and   YAGI
et  al.,  (2004).
Source   parameters   of   the   Tecoman   earthquake
were   calculated   from  the   spectra   of   P-waveforms
recorded at teleseismic distances. A corner frequency
was  observed  at  f  =  0.05    005  Hz,  a  stress  drop  of
5.4    2.5  MPa (54    25 bars) and a seismic moment
of   2.7    0.70  9  10
20
Nm  (2.7    0.7  9  10
27
dynes
cm)   were   calculated  assuming  that   BRUNES   (1970)
circular  fault   model   holds.   We  note  the  lower  stress
drop value calculated with teleseismic data compared
with  that   obtained  using  local   and  regional   records
(YAGI   et   al.,   2004,   SINGH  et   al.,   2003).   This   result
would  imply  that   Tecoman  earthquake  was  decient
in  high-frequency  radiation.   This,   however,   appears
not to be the case from the reported severe damage to
buildings  in  the  localities  situated  at  distances  where
along-trench   rupturing   subduction   earthquakes   of
the   same   magnitude   usually   do   not   produce   any
signicant   damage  (ZOBIN  and  PIZANO-SILVA,   2007).
We   think,   therefore,   that   a   low  rupture   velocity  is
more  likely  the  cause  of   the  low  stress   drop  value
obtained  from  spectral  analysis.
Besides the waveforms used by YAGI et al., (2004)
we   included,   in   the   inversion   of   near   eld   body
waves,   the   waveforms   recorded   at   the   Manzanillo
power  plant   (MNZ),   a  strong  motion  station  located
54.0  km  from  the  epicenter.   Those  body  waveform
were not used by YAGI et al., (2004). In the inversion
process  we  assumed  a  rectangular  fault  area  of  70  by
100  km  and  a   depth  of   the  initial   break  of   25  km.
Figure  11  shows  a  horizontal   projection  of  the  fault
rupture   from  our   inversion.   The   slip   distribution
shows   the   same   asperities   reported  by  YAGI   et   al.,
(2004),   however,   two   additional   zones   of   seismic
moment   release,   not   so  energetic  in  their   inversion,
appeared  clearly  dened  in  our  analysis  as  a  signi-
cant   zone   of   seismic   moment   release   up-dip   and
down-dip.   The  total   source  duration  was  30  s  and  a
seismic  moment   of   1.88  9  10
20
Nm  (M
w
  =  7.5).   A
signicant   seismic  moment   release  was  observed  at
the  end  of  the  rupture  process;   this  seismic  moment
released  was  located  down-dip  below  the  Manzanillo
seismic  station  and  up-dip.  The  source  time  duration
of   20  s   calculated   with   the   spectra   of   teleseismic
body-waves   and   with   the   inversion   of   P   and   SH
waves  using  the  NA
BE
LEK,  (1984)  method  agree  with
the  main  source  energy  release.   On  the  other   hand,
source  time  duration  obtained  with  the  inversion  of
teleseismic  and  near-source  strong  motion  stations  is
30  s,  however  the  maximum  seismic  moment  release
Figure  9
Comparison  of   modeling  for   the   strong-motion  record  of   MNZ  station  located  54  km  from  the   epicenter.   a  Modeling  with  the   focal
mechanism  solution  obtained  in  this  work  using  Nabelek  technique.  b  Results  obtained  using  YAGI   et  al.,  (2004)  geometry
L.  Quintanar  et  al.   Pure  Appl.  Geophys.
lasted  about   20  s   (see  Fig.   11b).   We  think  that   the
large  source  duration  obtained  with  the  two  dimen-
sional  method  of  inversion  is  due  to  the  effect  of  the
contribution of energy recorded on the strong-motion
(MNZ)   stations  which  was  not   observed  at   teleseis-
mic  stations.
It  is  worth  mentioning  that   the  uncertainties  sug-
gested  by  BERESNEV,  (2003)  about  the  slip  inversions
using  body  waves   did  not   have  much  effect   in  our
study.   We   did   not   nd   great   disagreement   in   the
inversion  process  for  the  spatial  slip  distribution.  On
the   other   hand,   we   found   an   improvement   in   the
Figure  10
Comparison  of   the  observed  waveforms  (black  line)   with  the  calculated  waveforms  (red  line)   obtained  from  the  inversion.   Seven  upper
records  correspond  to  strong  motion  data  of  Mexican  stations.   Six  lower  seismograms  are  teleseismic  records.   Numbers  below  the  station
name  are  the  maximum  amplitude  in  centimeters  and  microns  of  strong-motion  and  teleseismic  records,   respectively
Source  Characteristics  of  Tecoman  Earthquake
spatial slip distribution by adding the new near source
body   waveforms   into   the   inversion,   therefore,   the
quality and quantity of waveforms in the near and far
eld   will   greatly   improve   our   knowledge   of   the
source  process  as  suggested  by  IDE  et  al.,   (2005).
Acknowledgments
We  would  like  to  thank  Arturo  Perez-Vertti   for   the
eldwork and Antonio Mendoza for helping to handle
the digital data. Thanks to the following networks for
Figure  11
a Fault plane solution used for the slip distribution inversion on the fault plane. b Source time function obtained in this inversion. c Horizontal
projection of the fault showing the slip distribution. Triangle shows the location of the Manzanillo power plant, where it is located the MNZ
strong  motion  recorder,  Colima  and  Tecoman  cities
L.  Quintanar  et  al.   Pure  Appl.  Geophys.
providing   seismic   data   through   the   Incorporated
Research   Institutions   for   Seismology   (IRIS)   Data
Management   Center:   FDSN,   GEOFON,   Geoscope,
IDA, GTSN, UI, USGS. We acknowledge El Consejo
Nacional   de  Ciencia  y  Tecnologia  (CONACYT)   for
sponsoring  part   of   this   project   (Proyecto  37038-T).
One  of   us   (HERL)   was   supported  by  a  scholarship
from  PROMEP.
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(Received   February  11,  2010,  revised   September  22,  2010,  accepted   September  23,  2010)
Source  Characteristics  of  Tecoman  Earthquake