Upper crustal rocks contain cracks of diverse sizes, shapes and orientations. Predicting their
influence on the effective elastic properties of a rock poses a challenging problem of …

Seismic measurements take many forms, and appear to have a universal role in the Earth
Sciences. They are the means for most easily and economically interpreting what lies …

We describe the application of the rotated staggered-grid (RSG) finite-difference technique
to the wave equations for anisotropic and viscoelastic media. The RSG uses rotated finite …

A new unified methodology was proposed in Finkelstein and Kastner (2007)[39] to derive
spatial finite-difference (FD) coefficients in the joint time–space domain to reduce numerical …

I develop least-squares (LS)-based schemes to derive globally optimal spatial explicit
staggered-grid finite-difference (SGFD) coefficients of the first-order derivative over a given …

Digital images of rock samples have been using extensively in Digital Rock Physics (DRP)
to evaluate physical parameters of rock such as permeability, P-and S-wave velocities and …

We derive explicit and new implicit staggered-grid finite-difference (FD) formulas for
derivatives of first order with any order of accuracy by a plane wave theory and Taylor's …

The noninteraction approximation (NIA) is the simplest effective media theory that describes
the overall elasticity of fractured rocks. If the NIA is used for fracture characterization, its …

Exploration and development of naturally fractured reservoirs rely on understanding and
interpretation of certain signatures associated with seismic waves propagating through …

Abstract<? A3B2 twb=. 28w?> The staggered-grid finite-difference (SFD) method is widely
used in numerical modeling of wave equations. Conventional SFD stencils for spatial …