A Sequential Quadratic Programming Approach to Coupling‐Bounded Non‐Inertial Earthquake Cycle Kinematics With Distance‐Weighted Eigenmodes
Abstract Geologic and geodetic observations provide constraints on tectonic and earthquake cycle kinematics. Block models offer one approach to integrating the effects of plate rotations, elastic strain accumulation, applied basal displacements, internal block strain, and idealized pressure sources....
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| Format: | Article |
| Language: | English |
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American Geophysical Union (AGU)
2025-07-01
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| Series: | Earth and Space Science |
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| Online Access: | https://doi.org/10.1029/2025EA004229 |
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| author | Brendan J. Meade John P. Loveless |
| author_facet | Brendan J. Meade John P. Loveless |
| author_sort | Brendan J. Meade |
| collection | DOAJ |
| description | Abstract Geologic and geodetic observations provide constraints on tectonic and earthquake cycle kinematics. Block models offer one approach to integrating the effects of plate rotations, elastic strain accumulation, applied basal displacements, internal block strain, and idealized pressure sources. Here, we describe the construction of block models where spatially variable slip rates are parameterized by distance‐weighted eigenmodes operating over meshes of triangular dislocation elements. This dimensionally reduced model is recast as a quadratic programming problem with upper and lower bounds on both geologic fault slip rates and spatially variable slip deficit rates. We propose iterating over successive quadratic programming estimates with evolving slip rate bounds to find a solution consistent with specified coupling at all points on geometrically complex fault surfaces. |
| format | Article |
| id | doaj-art-e19ca21fa9694ba1b588ccaeaeede6c6 |
| institution | DOAJ |
| issn | 2333-5084 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Geophysical Union (AGU) |
| record_format | Article |
| series | Earth and Space Science |
| spelling | doaj-art-e19ca21fa9694ba1b588ccaeaeede6c62025-08-20T02:45:27ZengAmerican Geophysical Union (AGU)Earth and Space Science2333-50842025-07-01127n/an/a10.1029/2025EA004229A Sequential Quadratic Programming Approach to Coupling‐Bounded Non‐Inertial Earthquake Cycle Kinematics With Distance‐Weighted EigenmodesBrendan J. Meade0John P. Loveless1Department of Earth and Planetary Sciences Harvard University Cambridge MA USADepartment of Geosciences Smith College Northampton MA USAAbstract Geologic and geodetic observations provide constraints on tectonic and earthquake cycle kinematics. Block models offer one approach to integrating the effects of plate rotations, elastic strain accumulation, applied basal displacements, internal block strain, and idealized pressure sources. Here, we describe the construction of block models where spatially variable slip rates are parameterized by distance‐weighted eigenmodes operating over meshes of triangular dislocation elements. This dimensionally reduced model is recast as a quadratic programming problem with upper and lower bounds on both geologic fault slip rates and spatially variable slip deficit rates. We propose iterating over successive quadratic programming estimates with evolving slip rate bounds to find a solution consistent with specified coupling at all points on geometrically complex fault surfaces.https://doi.org/10.1029/2025EA004229block modelsEarth cycleinterseismic deformationgeodetic imaging |
| spellingShingle | Brendan J. Meade John P. Loveless A Sequential Quadratic Programming Approach to Coupling‐Bounded Non‐Inertial Earthquake Cycle Kinematics With Distance‐Weighted Eigenmodes Earth and Space Science block models Earth cycle interseismic deformation geodetic imaging |
| title | A Sequential Quadratic Programming Approach to Coupling‐Bounded Non‐Inertial Earthquake Cycle Kinematics With Distance‐Weighted Eigenmodes |
| title_full | A Sequential Quadratic Programming Approach to Coupling‐Bounded Non‐Inertial Earthquake Cycle Kinematics With Distance‐Weighted Eigenmodes |
| title_fullStr | A Sequential Quadratic Programming Approach to Coupling‐Bounded Non‐Inertial Earthquake Cycle Kinematics With Distance‐Weighted Eigenmodes |
| title_full_unstemmed | A Sequential Quadratic Programming Approach to Coupling‐Bounded Non‐Inertial Earthquake Cycle Kinematics With Distance‐Weighted Eigenmodes |
| title_short | A Sequential Quadratic Programming Approach to Coupling‐Bounded Non‐Inertial Earthquake Cycle Kinematics With Distance‐Weighted Eigenmodes |
| title_sort | sequential quadratic programming approach to coupling bounded non inertial earthquake cycle kinematics with distance weighted eigenmodes |
| topic | block models Earth cycle interseismic deformation geodetic imaging |
| url | https://doi.org/10.1029/2025EA004229 |
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