3D elastic waveform modeling with an optimized equivalent staggered-grid finite-difference method

• DOI: 10.1007/s12182-020-00477-3
• Publication Date: 2020-07-14T17:03:46Z
• Authors: Qiang Zou; Jian-Ping Huang; Peng Yong; Zhen-Chun Li
• Keywords: Finite difference; Dispersion relation

Equivalent staggered-grid (ESG) as a new family of schemes has been utilized in seismic modeling, imaging, and inversion. Traditionally, the Taylor series expansion is often applied to calculate finite-difference (FD) coefficients on spatial derivatives, but simulation results suffer serious numerical dispersion large frequency zone. We develop an optimized equivalent (OESG) FD method that can simultaneously suppress temporal for solving second-order system 3D elastic wave equation. On one hand, we consider coupling relations between speeds derivatives equation give three sets with respect P-wave, S-wave, converted-wave (C-wave) terms. other novel plane solution derived from matrix decomposition construct time–space relations. OESG be acquired by equations based Newton iteration method. Finally, objective function analyze C-wave concerning frequencies. The analyses show presented produces less modeling errors than traditional ESG synthetic examples demonstrate effectiveness superiority