Solving seismic wave propagation in elastic media using the matrix exponential approach

Modeling and Visualizing Seismic Wave Propagation in Elastic Medium Using Multi-Dimension Wave Digital Filtering Approach

A novel PDE solver using the multidimensional wave digital filtering (MDWDF) technique to achieve the solution of a 2D seismic wave system is presented. In essence, the continuous physical system served by a linear Kirchhoff circuit is transformed to an equivalent discrete dynamic system implemented by a MD wave digital filtering (MDWDF) circuit. This amounts to numerically approximating the di...

Seismic Wave-Field Propagation Modelling using the Euler Method

Wave-field extrapolation based on solving the wave equation is an important step in seismic modeling and needs a high level of accuracy. It has been implemented through a various numerical methods such as finite difference method as the most popular and conventional one. Moreover, the main drawbacks of the finite difference method are the low level of accuracy and the numerical dispersion for l...

Seismic Wave Propagation in Media with Complex Geometries, Simulation of

Glossary Numerical methods Processes in nature are often described by partial differential equations. Finding solutions to those equations is at the heart of many studies aiming at the explanation of observed data. Simulations of realistic physical processes requires generally the use of numerical methods – a special branch of applied mathematics – that approximate the partial differential equa...

Elastic Wave Propagation and Scattering in Anisotropic Fractured Media

In this thesis, we develop several methods for the delineation and analysis of anisotropic fractures in the subsurface. Our principal goal is to develop methods to use seismic data to infer fracture properties. In turn, we relate this information to the fluid flow properties of anisotropically fractured media. The first problem is to examine media with cracks oriented over a range of directions...

Wave Propagation in Elastic Media with Micro/Nano-Structures