Two exact first-order k-space formulations for low-rank viscoacoustic wave propagation on staggered grids  

作　　者：Hong-Yu Zhou Yang Liu Jing Wang 

机构地区：[1]China Universityof Petroleum(Bejing),State Key Laboratory of Petroleum Resources and Prospecting and CNPC Key Laboratory of Geophysical Prospecting,Beijing,102249,China [2]China University of Petroleum(Bejing),Karamay Campus,Karamay,Xinjiang,834000,China

出　　处：《Petroleum Science》2023年第3期1521-1531,共11页石油科学（英文版）

摘　　要：Wave propagation in the viscoacoustic media is physically dispersive and dissipated.Completely excluding the numerical dispersion error from the physical dispersion in the viscoacoustic wave simu-lation is indispensable to understanding the intrinsic property of the wave propagation in attenuated media for the petroleum exploration geophysics.In recent years,a viscoacoustic wave equation char-acterized by fractional Laplacian gains wide attention in geophysical community.However,the first-order form of the viscoacoustic wave equation,often solved by the conventional staggered-grid pseu-dospectral method,suffers from the numerical dispersion error in time due to the low-order finite-difference approximation.It is challenging to completely eliminate the error because the viscoacoustic wave equation contains two temporal derivatives,which stem from the time stepping and the amplitude attenuation terms,respectively.To tackle the issue,we derive two exact first-order k-space viscoacoustic formulations that can fully exclude the numerical error from the physical dispersion.For the homoge-neous case,two formulations agree with the viscoacoustic analytical solution very well and have the same efficiency.For the heterogeneous case,our second k-space formulation is more efficient than the first one because the second formulation significantly reduces the number of the wavenumber-space mixed-domain operators,which are the expensive part of the viscoacoustic k-space simulation.Nu-merical cases validate that the two first-order k-space formulations are effective and efficient alternatives to the current staggered-grid pseudospectral formulation for the viscoacoustic wave simulation.

关 键 词：Viscoacoustic K-SPACE Staggered-grid Low-rank 

分 类 号：P618.13[天文地球—矿床学] P631.4[天文地球—地质学]