Assessing the ability of Pleiades stereo imagery to determine height changes in earthquakes: A case study for the El Mayor‐Cucapah epicentral area

High‐resolution surface topography is valuable for studying coseismic fault zone deformation and fault geometry. It enables us to measure three‐dimensional surface displacements in earthquakes, as shown in recent studies that used light detection and ranging (lidar) to determine coseismic motion. However, the applicability of lidar is limited by its relatively high cost and low availability. In this study, we use the 2010 El Mayor‐Cucapah earthquake to demonstrate the capability of Pleiades stereo imagery to measure coseismic vertical ground displacement. We acquired post‐earthquake Pleiades tristereo imagery from backward, near‐nadir, and forward orientations for a 45 km × 7 km portion of the epicentral area. One meter resolution digital elevation models (DEMs) were produced with the four different combinations of incidence angles and compared to the post‐earthquake lidar DEM. Elevations from tristereo have slightly (∼15%) smaller uncertainties than bistereo as the tristereo DEM incorporates more observations. Elevation differences between the Pleiades and post‐earthquake lidar DEMs show that the vertical accuracy of the Pleiades DEMs is ∼0.3 m. By differencing the Pleiades DEM and the pre‐earthquake, 5 m resolution lidar DEM, we mapped meter and submeter offsets along the faults obtaining results comparable to a previous study that differenced the two lidar DEMs. This is the first case study of assessing very high resolution (VHR) satellite stereo imagery to determine submeter vertical ground displacement in an earthquake. By extension, we expect it to be possible to measure submeter vertical offsets occurring in earthquakes using pre‐earthquake and post‐earthquake VHR stereo imagery.

[1]  P. Molnar,et al.  Cenozoic Tectonics of Asia: Effects of a Continental Collision: Features of recent continental tectonics in Asia can be interpreted as results of the India-Eurasia collision. , 1975, Science.

[2]  R. E. Wallace Profiles and ages of young fault scarps, north-central Nevada , 1977 .

[3]  Robert E. Wallace,et al.  Modification of wave-cut and faulting-controlled landforms , 1984 .

[4]  Y. Okada Surface deformation due to shear and tensile faults in a half-space , 1985 .

[5]  Ian Parsons,et al.  Surface deformation due to shear and tensile faults in a half-space , 1986 .

[6]  Takeo Kanade,et al.  Geometric camera calibration using systems of linear equations , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[7]  Walter H. F. Smith,et al.  Gridding with continuous curvature splines in tension , 1990 .

[8]  Paul J. Besl,et al.  Method for registration of 3-D shapes , 1992, Other Conferences.

[9]  Paul J. Besl,et al.  A Method for Registration of 3-D Shapes , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Jean-Philippe Avouac,et al.  Active tectonics in southern Xinjiang, China: Analysis of terrace riser and normal fault scarp degradation along the Hotan‐Qira Fault System , 1993 .

[11]  H. Philip,et al.  Slip rates along active faults estimated with cosmic-ray–exposure dates: Application to the Bogd fault, Gobi-Altaï, Mongolia , 1995 .

[12]  William Rodi,et al.  Global Positioning System constraints on fault slip rates in southern California and northern Baja, Mexico , 1996 .

[13]  S. Wesnousky,et al.  Uplift and convergence along the Himalayan Frontal Thrust of India , 1999 .

[14]  J. Jackson LIVING WITH EARTHQUAKES: KNOW YOUR FAULTS , 2001 .

[15]  D. Agnew,et al.  The complete (3‐D) surface displacement field in the epicentral area of the 1999 MW7.1 Hector Mine Earthquake, California, from space geodetic observations , 2001 .

[16]  J. Avouac,et al.  Deformation due to the 17 August 1999 Izmit, Turkey, earthquake measured from SPOT images , 2002 .

[17]  Rémi Michel,et al.  Horizontal coseismic deformation of the 1999 Chi-Chi earthquake measured from SPOT satellite images: Implications for the seismic cycle along the western foothills of central Taiwan , 2003 .

[18]  J. Grodecki,et al.  Block Adjustment of High-Resolution Satellite Images Described by Rational Polynomials , 2003 .

[19]  Yong Hu Understanding the Rational Function Model : Methods and Applications , 2004 .

[20]  Yann Klinger,et al.  High-Resolution Satellite Imagery Mapping of the Surface Rupture and Slip Distribution of the Mw ∼7.8, 14 November 2001 Kokoxili Earthquake, Kunlun Fault, Northern Tibet, China , 2005 .

[21]  R. Binet,et al.  Horizontal coseismic deformation of the 2003 Bam (Iran) earthquake measured from SPOT‐5 THR satellite imagery , 2005 .

[22]  C. Fraser,et al.  Bias-compensated RPCs for sensor orientation of high-resolution satellite imagery , 2005 .

[23]  Sebastien Leprince,et al.  The 2005, Mw 7.6 Kashmir earthquake: Sub-pixel correlation of ASTER images and seismic waveforms analysis , 2006 .

[24]  P. Gigord,et al.  The pleiades-HR mosaic system product , 2006 .

[25]  Eric Cowgill,et al.  Impact of riser reconstructions on estimation of secular variation in rates of strike-slip faulting: Revisiting the Cherchen River site along the Altyn Tagh Fault, NW China , 2007 .

[26]  M. Oskin,et al.  Quantifying fault‐zone activity in arid environments with high‐resolution topography , 2007 .

[27]  Sébastien Leprince,et al.  Automatic and Precise Orthorectification, Coregistration, and Subpixel Correlation of Satellite Images, Application to Ground Deformation Measurements , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[28]  Hiroo Kanamori,et al.  The 2010 Mw 7.2 El Mayor-Cucapah Earthquake Sequence, Baja California, Mexico and Southernmost California, USA: Active Seismotectonics along the Mexican Pacific Margin , 2010 .

[29]  Gerry Mitchell,et al.  HIGH RESOLUTION STEREO SATELLITE ELEVATION MAPPING ACCURACY ASSESSMENT , 2010 .

[30]  C. S. Fraser,et al.  GEOREFERENCING ACCURACY OF GEOEYE-1 STEREO IMAGERY: EXPERIENCES IN A JAPANESE TEST FIELD , 2010 .

[31]  James Jackson,et al.  Uncharted seismic risk , 2011 .

[32]  Rowena B. Lohman,et al.  InSAR and Optical Constraints on Fault Slip during the 2010–2011 New Zealand Earthquake Sequence , 2011 .

[33]  Kenneth W. Hudnut,et al.  Superficial simplicity of the 2010 El Mayor-Cucapah earthquake of Baja California in Mexico , 2011 .

[34]  R. Gold,et al.  Deriving fault-slip histories to test for secular variation in slip, with examples from the Kunlun and Awatere faults , 2011 .

[35]  Thierry Toutin,et al.  Review of developments in geometric modelling for high resolution satellite pushbroom sensors , 2012 .

[36]  Gwendoline Blanchet,et al.  PLEIADES HR IN FLIGHT GEOMETRICAL CALIBRATION : LOCATION AND MAPPING OF THE FOCAL PLANE , 2012 .

[37]  J. Avouac,et al.  Deformation during the 1975-1984 Krafla rifting crisis, NE Iceland, measured from historical optical imagery , 2012 .

[38]  P. Nonin,et al.  3D CAPABILITIES OF PLEIADES SATELLITE , 2012 .

[39]  Eric J. Fielding,et al.  Near-Field Deformation from the El Mayor–Cucapah Earthquake Revealed by Differential LIDAR , 2012, Science.

[40]  James Jackson,et al.  Slip in the 2010–2011 Canterbury earthquakes, New Zealand , 2012 .

[41]  Mary Rakowski DuBois,et al.  Near-Field Deformation from the El Mayor-Cucapah Earthquake Revealed by Differential LIDAR , 2012 .

[42]  Peizhen Zhang,et al.  Beware of slowly slipping faults , 2013 .

[43]  K. Hudnut,et al.  Geologic and structural controls on rupture zone fabric: A field-based study of the 2010 Mw 7.2 El Mayor-Cucapah earthquake surface rupture , 2014 .

[44]  Srikanth Saripalli,et al.  Coseismic fault zone deformation revealed with differential lidar: Examples from Japanese Mw ∼7 intraplate earthquakes , 2014 .

[45]  K. Hudnut,et al.  Assembly of a large earthquake from a complex fault system: Surface rupture kinematics of the 4 April 2010 El Mayor–Cucapah (Mexico) Mw 7.2 earthquake , 2014 .

[46]  J. Avouac,et al.  The 2013, Mw 7.7 Balochistan earthquake, energetic strike-slip reactivation of a thrust fault , 2014 .

[47]  Finnur Pálsson,et al.  Glacier topography and elevation changes derived from Pléiades sub-meter stereo images , 2014 .

[48]  Alejandro Hinojosa-Corona,et al.  Optimization of legacy lidar data sets for measuring near‐field earthquake displacements , 2014 .

[49]  P. Allemand,et al.  Surface reconstruction and landslide displacement measurements with Pléiades satellite images , 2014 .

[50]  B. Parsons,et al.  Co-seismic vertical displacements from a single post-seismic lidar DEM: example from the 2010 El Mayor-Cucapah earthquake , 2015 .

[51]  J. Elliott,et al.  The 2013 Balochistan earthquake: An extraordinary or completely ordinary event? , 2015 .

[52]  Peizhen Zhang,et al.  Clustering of offsets on the Haiyuan fault and their relationship to paleoearthquakes , 2015 .

[53]  Changno Lee,et al.  Automated bias-compensation of rational polynomial coefficients of high resolution satellite imagery based on topographic maps , 2015 .

[54]  J. Jackson,et al.  Great earthquakes in low strain rate continental interiors: An example from SE Kazakhstan , 2015 .