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DOI10.1109/TGRS.2017.2789159
Variable-Order Finite Difference Scheme for Numerical Simulation in 3-D Poroelastic Media
Zhang, Yijie1,2; Gao, Jinghuai1,2; Peng, Jigen3
通讯作者Zhang, Yijie
来源期刊IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING
ISSN0196-2892
EISSN1558-0644
出版年2018
卷号56期号:5页码:2991-3001
英文摘要

The numerical simulation of wave fields in 3-D poroelastic media can give a better understanding of elastic properties, deformation characteristics of rocks, and interaction with pore fluids. However, the wave equations in 3-D poroelastic media include more equations, and the size of geophysical model for practical reservoir is immense. Therefore, numerical simulation is time consuming. In order to improve the efficiency, we proposed variable-order staggered-grid (SG) finite difference (FD) method to solve 3-D poroelastic wave equations. In this method, different orders of SGFD scheme can be selected for different velocities in a heterogeneous poroelastic model by restricting the dispersion parameters within a tolerable threshold. We derive the dispersion relation, numerical dispersion relation, and stability condition for 3-D poroelastic media using plane wave analysis and SGFD scheme. Based on the numerical dispersion relation of slow P-wave, S-wave, and fast P-wave, we restrict the average of dispersion parameters of the three waves within a given range; the orders of the SGFD scheme can be calculated for different velocities. Dispersion analysis shows that the variable-order SGFD method can maintain the accuracy compared with the fixed-order SGFD method. We use three numerical examples, which include laterally homogeneous model, a simplified overthrust model, and a geophysical model in a desert area in China, to demonstrate the accuracy and efficiency of the proposed method. The numerical results confirm that the variable-order SGFD method can reduce the computation time efficiently and still ensure the accuracy.


英文关键词3-D dispersion relationship finite difference (FD) poroelastic media variable order
类型Article
语种英语
国家Peoples R China
收录类别SCI-E
WOS记录号WOS:000430739600039
WOS关键词GROUND-PENETRATING RADAR ; TIME-DOMAIN SIMULATION ; WAVE-PROPAGATION ; ELASTIC-WAVES ; POROUS-MEDIA ; HETEROGENEOUS MEDIA ; FREQUENCY RANGE ; OBJECTS
WOS类目Geochemistry & Geophysics ; Engineering, Electrical & Electronic ; Remote Sensing ; Imaging Science & Photographic Technology
WOS研究方向Geochemistry & Geophysics ; Engineering ; Remote Sensing ; Imaging Science & Photographic Technology
资源类型期刊论文
条目标识符http://119.78.100.177/qdio/handle/2XILL650/209986
作者单位1.Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Shaanxi, Peoples R China;
2.Xi An Jiao Tong Univ, Natl Engn Lab Offshore Oil Explorat, Xian 710049, Shaanxi, Peoples R China;
3.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
推荐引用方式
GB/T 7714
Zhang, Yijie,Gao, Jinghuai,Peng, Jigen. Variable-Order Finite Difference Scheme for Numerical Simulation in 3-D Poroelastic Media[J],2018,56(5):2991-3001.
APA Zhang, Yijie,Gao, Jinghuai,&Peng, Jigen.(2018).Variable-Order Finite Difference Scheme for Numerical Simulation in 3-D Poroelastic Media.IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING,56(5),2991-3001.
MLA Zhang, Yijie,et al."Variable-Order Finite Difference Scheme for Numerical Simulation in 3-D Poroelastic Media".IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING 56.5(2018):2991-3001.
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