We consider a newapproach to both the forward and inverse problems in post-seismic deformation. We present amethod for forward modelling post-seismic deformation in a self-gravitating, heterogeneous and compressible earth with a variety of linear and nonlinear rheologies. We further demonstrate how the adjoint method can be applied to the inverse problem both to invert for rheological structure and to calculate the sensitivity of a given surface measurement to changes in rheology or time-dependence of the source. Both the forward and inverse aspects are illustrated with several numerical examples implemented in a spherically symmetric earth model.
All Science Journal Classification (ASJC) codes
- Geochemistry and Petrology
- Dynamics of lithosphere and mantle
- Inverse theory
- Numerical solutions
- Transient deformation