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Multi-physics adjoint modeling of Earth structure: combining gravimetric, seismic, and geodynamic inversions

Author(s): Reuber, Georg S; Simons, Frederik J

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Abstract: We discuss the resolving power of three geophysical imaging and inversion techniques, and their combination, for the reconstruction of material parameters in the Earth’s subsurface. The governing equations are those of Newton and Poisson for gravitational problems, the acoustic wave equation under Hookean elasticity for seismology, and the geodynamics equations of Stokes for incompressible steady-state flow in the mantle. The observables are the gravitational potential, the seismic displacement, and the surface velocity, all measured at the surface. The inversion parameters of interest are the mass density, the acoustic wave speed, and the viscosity. These systems of partial differential equations and their adjoints were implemented in a single Python code using the finite-element library FeNICS. To investigate the shape of the cost functions, we present a grid search in the parameter space for three end-member geological settings: a falling block, a subduction zone, and a mantle plume. The performance of a gradient-based inversion for each single observable separately, and in combination, is presented. We furthermore investigate the performance of a shape-optimizing inverse method, when the material is known, and an inversion that inverts for the material parameters of an anomaly with known shape.
Publication Date: 10-Nov-2020
Citation: Reuber, Georg S., and Frederik J. Simons. "Multi-physics adjoint modeling of Earth structure: combining gravimetric, seismic, and geodynamic inversions." GEM-International Journal on Geomathematics 11, no. 30 (2020). doi:10.1007/s13137-020-00166-8.
DOI: doi:10.1007/s13137-020-00166-8
ISSN: 1869-2672
EISSN: 1869-2680
Type of Material: Journal Article
Journal/Proceeding Title: GEM - International Journal on Geomathematics
Version: Final published version. This is an open access article.

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