Elastic wave equation modeling using staggered‐grid convolutional differentiators

1994 ◽  
Author(s):  
Binhong Zhou ◽  
Iian M. Mason ◽  
Stewart A. Greenhalgh
Keyword(s):  
Wave Equation ◽  
Elastic Wave ◽  
Staggered Grid ◽  
Equation Modeling ◽  
Elastic Wave Equation

scholarly journals Finite-Difference Simulation of Elastic Wave with Separation in Pure P- and S-Modes

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Ke-Yang Chen
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Elastic Wave ◽  
Computing Time ◽  
Staggered Grid ◽  
Difference Operators ◽  
Elastic Wave Equation ◽  
Absorbing Boundary ◽  
Wave Separation ◽  
Time Requirements

Elastic wave equation simulation offers a way to study the wave propagation when creating seismic data. We implement an equivalent dual elastic wave separation equation to simulate the velocity, pressure, divergence, and curl fields in pure P- and S-modes, and apply it in full elastic wave numerical simulation. We give the complete derivations of explicit high-order staggered-grid finite-difference operators, stability condition, dispersion relation, and perfectly matched layer (PML) absorbing boundary condition, and present the resulting discretized formulas for the proposed elastic wave equation. The final numerical results of pure P- and S-modes are completely separated. Storage and computing time requirements are strongly reduced compared to the previous works. Numerical testing is used further to demonstrate the performance of the presented method.

A multiscale method for elastic wave equation modeling

2013 ◽  
Author(s):  
Kai Gao ◽  
Richard L. Gibson Jr. ◽  
Eric T. Chung ◽  
Yalchin Efendiev ◽  
Shubin Fu
Keyword(s):  
Wave Equation ◽  
Elastic Wave ◽  
Multiscale Method ◽  
Equation Modeling ◽  
Elastic Wave Equation
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