Abstract: Electromagnetic (EM) inversion includes determining an electric field associated with EM data within a predetermined sensitivity area around each of a plurality of source positions, iteratively inverting the electric field for a subsurface resistivity EM model indicative of a subterranean formation for each of a plurality of EM electrical resistivity data cells within each of the predetermined sensitivity areas, and storing results of the iterative inversion. A linear system of equations comprising a Jacobian matrix is generated based on the iterative inversion, the linear system of equations is stored, and the linear system of equations is solved at each iteration of the iterative inversion to update the subsurface resistivity EM model until a convergence criterion is met. A resistivity map based on the updated subsurface resistivity EM model can be produced.

Abstract: Electromagnetic (EM) inversion includes determining an electric field associated with EM data within a predetermined sensitivity area around each of a plurality of source positions, iteratively inverting the electric field for a subsurface resistivity EM model indicative of a subterranean formation for each of a plurality of EM electrical resistivity data cells within each of the predetermined sensitivity areas, and storing results of the iterative inversion. A linear system of equations comprising a Jacobian matrix is generated based on the iterative inversion, the linear system of equations is stored, and the linear system of equations is solved at each iteration of the iterative inversion to update the subsurface resistivity EM model until a convergence criterion is met. A resistivity map based on the updated subsurface resistivity EM model can be produced.

Abstract: Techniques are disclosed relating to forward and inverse modeling of geophysical formations using interpolation. In one embodiment, a method includes generating a system of equations based on a background model that describes a geophysical formation. In this embodiment, the method also includes generating a first set of solutions for the system of equations using an initial set of base points from geophysical survey data obtained from the geophysical formation and interpolating, using the first set of solutions, to produce a set of solution approximations for a second set of data points from the geophysical survey data. In this embodiment, the method also includes generating a model of the geophysical formation, using the second set of data points and the set of solution approximations, where the model includes a second set of solutions for the system of equations.

Abstract: Techniques are disclosed relating to forward and inverse modeling of geophysical formations using interpolation. In one embodiment, a method includes generating a system of equations based on a background model that describes a geophysical formation. In this embodiment, the method also includes generating a first set of solutions for the system of equations using an initial set of base points from geophysical survey data obtained from the geophysical formation and interpolating, using the first set of solutions, to produce a set of solution approximations for a second set of data points from the geophysical survey data. In this embodiment, the method also includes generating a model of the geophysical formation, using the second set of data points and the set of solution approximations, where the model includes a second set of solutions for the system of equations.