Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for

Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for marine

seismic reflection modeling

QIAN Jin;WU Shiguo;CUI Ruofei

【期刊名称】《中国海洋湖沼学报（英文版）》 【年(卷),期】2013(031)001

【摘要】Seismic wave modeling is a cornerstone of geophysical data acquisition,processing,and interpretation,for which finite-difference methods are often applied.In this paper,we extend the velocitypressure formulation of the acoustic wave equation to marine seismic modeling using the staggered-grid finite-difference method.The scheme is developed using a fourth-order spatial and a second-order temporal operator.Then,we define a stability coefficient (SC) and calculate its maximum value under the stability condition.Based on the dispersion relationship,we conduct a detailed dispersion analysis for submarine sediments in terms of the phase and group velocity over a range of angles,stability coefficients,and orders.We also compare the numerical solution with the exact solution for a P-wave line source in a homogeneous submarine model.Additionally,the numerical results determined by a Marmousi2 model with a rugged seafloor indicate that this method is sufficient for modeling complex submarine structures. 【总页数】9页(169-177)