王智亮,
张新敏,
陈亚丽,
田继东
西南石油大学理学院, 成都 610500
基金项目: 国家自然科学基金面上项目（41674141）、西南石油大学地震波传播与成像青年科技创新团队（2015CXTD07）及西南石油大学国家重点实验室开放课题（X151514KLX08）联合资助
详细信息
作者简介: 宋国杰, 男, 1978年生, 副教授, 主要从事研究方向为地震波场正反演.E-mail:cylsgj@126.com
中图分类号: P631 收稿日期:2018-04-06
修回日期:2019-04-24
上线日期:2019-09-05
SG-ONADM hybrid method for simulation of the viscous acoustic seismic wave field
SONG GuoJie,WANG ZhiLiang,
ZHANG XinMin,
CHEN YaLi,
TIAN JiDong
Southwest Petroleum University School of sciences, Chengdu 610500, China
MSC: P631
--> Received Date: 06 April 2018
Revised Date: 24 April 2019
Available Online: 05 September 2019
摘要
摘要:交错网格方法（SG）和最优近似解析离散化方法（ONADM）是两类典型的地震波场数值模拟方法.两类方法各有其优势，相对于ONADM方法，SG方法在单个时间层内的计算更为简单；相对于SG方法，ONADM方法可以在较大空间步长条件下有效压制数值频散.结合两种方法的优势，本文提出了一种新的地震波场模拟方法（SG-ONADM）.该方法对控制方程中的一阶偏导数采用SG方法给出的一阶偏导数近似公式，高阶偏导数采用ONADM方法给出的高阶偏导数逼近公式.理论分析及数值算例表明，SG-ONADM方法保留了两种方法的优势，不仅能在较大空间步长条件下有效压制数值频散，同时具有较低的内存需求量；在对同一计算区域进行波场模拟时，SG-ONADM方法的计算效率要高于SG方法和ONADM方法.最后，我们使用SG-ONADM方法进行黏滞声波波场模拟，研究了黏滞声波在复杂介质中的传播.
关键词: 黏滞声波波场/
交错网格方法/
最优近似解析离散化方法/
数值模拟
Abstract:The Staggered-Grid method (SG) and the Optimal Nearly Analytic Discrete Method (ONADM) are two typical tools for seismic wave field simulation. Each of them has its own advantages. Compared with the ONADM method,the computational cost of the SG method is smaller in a single temporal layer. Compared with the SG method,the ONADM method can effectively suppress numerical dispersion with a larger spatial step. Combining these two numerical methods,a new method of seismic wave field simulation called SG-ONADM is proposed in this paper. The first partial derivatives of the governing equation are approximated by the SG method,and the higher order partial derivatives approximated by the ONADM method. Theoretical and numerical examples show that SG-ONADM preserves the preponderance of these two methods,and can effectively suppress numerical dispersion under the larger spatial step condition with low memory requirement. When we simulate the wave propagation in the same domain,the computational efficiency of the SG-ONADM method is higher than that of the SG method or the ONADM method. Finally,we use the SG-ONADM method to simulate the viscous acoustic wave field and study the propagation of viscous acoustic waves in complex media.
Key words:Viscous acoustic wave-field/
Staggered-Grid method (SG)/
Optimal Nearly Analytic Discrete Method (ONADM)/
Numerical simulation
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