On the Derivation of Closed-Form Expressions for Displacements, Strains, and Stresses Inside Poroelastic Reservoirs

We critically review the derivation of closed-form analytical expressions for elastic displacements, strains, and stresses inside a subsurface reservoir undergoing pore pressure changes using inclusion theory. Although developed decades ago, inclusion theory has been used recently by various authors to obtain fast estimates of depletion...

Wavefield focusing using a generalised, potentially asymmetric homogeneous Green's function

Marchenko-type integrals typically relate so-called focusing functions and Green's functions via the reflection response measured on the open surface of a volume of interest. Originating from one dimensional inverse scattering theory, the extension to two and three dimensions set in motion various new developments regarding imaging in complex...

Green's function molecular dynamics: Including finite heights, shear, and body fields

The Green's function molecular dynamics (GFMD) method for the simulation of incompressible solids under normal loading is extended in several ways: shear is added to the GFMD continuum formulation and Poisson numbers as well as the heights of the deformed body can now be chosen at will. In addition, we give the full stress tensor inside the...

Enhanced characterization of fracture compliance heterogeneity using multiple reflections and data-driven Green's function retrieval

The spatial heterogeneity along a fracture is a key determinant for fracture-associated mechanical and hydraulic properties of the subsurface. Laboratory experiments have been performed to test the applicability of the nonwelded interface representation to predict the frequency- and angle-dependent elastic response of a single fracture. The...

Data-driven Green's function retrieval and application to imaging with multidimensional deconvolution

An iterative method is presented that allows one to retrieve the Green's function originating from a virtual source located inside a medium using reflection data measured only at the acquisition surface. In addition to the reflection response, an estimate of the travel times corresponding to the direct arrivals is required. However, no detailed...

Improved surface?wave retrieval from ambient seismic noise by multi?dimensional deconvolution

The methodology of surface?wave retrieval from ambient seismic noise by crosscorrelation relies on the assumption that the noise field is equipartitioned. Deviations from equipartitioning degrade the accuracy of the retrieved surface?wave Green's function. A point?spread function, derived from the same ambient noise field, quantifies the...

Fast evaluation of zero?offset Green's function for layered media with application to ground?penetrating radar

We propose an efficient integration path for the fast evaluation of the three?dimensional spatial?domain Green's function for electromagnetic wave propagation in layered media for the particular case of zero?offset, source?receiver proximal ground?penetrating radar (GPR) applications. The integration path is deformed in the complex plane of the...