石油物探2017，Vol.56Issue(3)：362-372,11.DOI:10.3969/j.issn.1000-1441.2017.03.006
近似解析离散化方法的粘弹声波方程数值模拟及波场特征分析
Numerical simulation and the wave field characteristics analysis of viscoelastic acoustic wave equation based on the nearly-analytic discrete method
摘要
Abstract
Viscoelasticity of the media has a very complicated relationship with the absorption and attenuation of seismic wave energy.Therefore,the research on the propagation law of seismic waves in the stratigraphic equivalent media carries great significance to the seismic exploration.Nearly-analytic discrete method is a finite-difference numerical simulation method developed in recent years.In this paper,the author firstly explored the principles and process of four different nearly-analytic discrete methods.In comparison with the one-dimensional analytical solutions,the improved nearly-analytic discrete method (INAD) was proved to excel in precision,stability and computational efficiency.Then INAD was applied to the numerical simulation of 2D viscoelastic acoustic wave equation for the first time.With the simulated viscoelastic wave field,the author focused on analyzing the propagation law of the amplitude,frequency and bandwidth of the acoustic wave with the change of Q values and propagation distance The amplitude of the seismic wave in the viscoelastic medium reduces not only due to the wavefront diffusion,but also the absorption which attenuates the frequency at the same time.These attenuation characteristics can guide the prediction of the oil and gas reservoir.The amplitude of the seismic wave in the viscoelastic medium reduces not only due to the wavefront diffusion,but also the absorption which attenuates the frequency at the same time.These attenuation characteristics can guide the prediction of the oil and gas reservoir.关键词
粘弹介质/近似解析离散方法/数值模拟/品质因子/吸收衰减Key words
viscoelastic media/nearly-analytic discrete method/numerical simulation/Q value/absorption and attenuation分类
天文与地球科学引用本文复制引用
汪勇,段焱文,王婷,桂志先,高刚..近似解析离散化方法的粘弹声波方程数值模拟及波场特征分析[J].石油物探,2017,56(3):362-372,11.基金项目
国家重点基础研究发展计划(973计划)(2013CB228605)和中国石油科技创新基金项目(2015D-5006-0301)联合资助.This research is financially supported by the National Key Basic Research Project of China (973 Program) (Grant No.2013CB228605) and the Science and Technology Innovation Foundation of CNPC (Grant No.2015D-5006-0301). （973计划）
