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Modelling Elastic Wave Propagation Using A New Wave Equation and Temporal Fourth-order Finite-difference Method
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 78th EAGE Conference and Exhibition 2016, May 2016, Volume 2016, p.1 - 5
Abstract
We develop an efficient temporal 4th-order and spatial arbitrary even-order staggered-grid finite-difference (SGFD) method for modelling elastic wave propagation. Instead of simulating the traditional stress-velocity elastic wave equation, our temporal 4th-order SGFD scheme solves a novel quasi-stress-velocity elastic wave equation in which all the spatial derivatives are classified into two categories related to compressional (P)-wave and shear (S)-wave velocities respectively. Based on the classified derivatives, we further develop a split elastic wave equation. Numerical tests verify that simulation of our split wave equation leads to decoupled P- and S-wave. When developing the temporal 4th-order SGFD scheme, we derive the FD coefficients with a general rectangular grid. Theoretical analysis indicates that our decoupled temporal 4th-order elastic modelling scheme is more efficient than the traditional coupled temporal 2nd-order elastic modelling scheme.