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Semi-analytical solution to the problem of frequency dependent anisotropy of porous media with an aligned set of slit cracks
Fu, Bo-Ye1,2,6,8; Fu, Li-Yun3; Guo, Junxin4,5; Galvin, Robert J.6; Gurevich, Boris6,7
2020-02-01
Source PublicationINTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
ISSN0020-7225
Volume147Pages:17
AbstractFractures control fluid flow in geological formations because their presence can greatly affect effective permeability. Existence of cracks in a porous rock can induce seismic dispersion attenuation and frequency-dependent anisotropy, due to wave-induced fluid flow (WIFF) between the fractures and pores. Thus, dispersion and attenuation can be valuable seismic signatures for fracture characterization. In previous studies these effects were modeled by considering cracks as low aspect-ratio inclusions embedded in a porous background medium modeled by Biot's poroelasticity equations. However, previous works are limited to normal wave incidence. In this research, we study the P-wave dispersion and attenuation for oblique incidence in a saturated porous medium with aligned slit (two-dimensional) fractures, through solving a mixed boundary value problem for Biot's dynamic poroelasticity equations. The semi-analytical solution of this problem gives dispersion and attenuation as functions of the incidence angle. The strongest dispersion and attenuation occur when the P-wave propagates along the fracture normal and decrease with increasing incident angle (as measured from the fracture normal). For the frequency-dependent anisotropy at low frequencies, the sample behaves as nearly elliptical, and at high frequencies the medium exhibits a strong anellipticity. The attenuation anisotropy parameters reach their maximum when the fluid diffusion length is comparable to the crack radius. Comparison of the heuristic solution, which is s based on an interpolation between low- and high frequencies using a relaxation function, to the semi-analytical solution of the rigorous equations shows excellent agreement, demonstrating the validity of the heuristic approach. (C) 2019 Elsevier Ltd. All rights reserved.
KeywordWIFF Biot's poroelasticity equations Anisotropy Fracture
DOI10.1016/j.ijengsci.2019.103209
Funding OrganizationChinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium
WOS KeywordFINITE THICKNESS THEORY ; P-WAVE ATTENUATION ; ELASTIC-WAVES ; NUMERICAL SIMULATIONS ; SEISMIC ANISOTROPY ; CIRCULAR CRACK ; CROSS-SECTION ; SCATTERING ; DISPERSION ; FRACTURES
Language英语
Funding ProjectChinese Academy of Sciences[XDA14010303] ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration'[B18055] ; China Scholarship Council[201704910502] ; National Natural Science Foundation of China[41904099] ; Curtin Reservoir Geophysics Consortium
Funding OrganizationChinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; 111 project 'Deep-Superdeep Oil & Gas Geophysical Exploration' ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium ; Curtin Reservoir Geophysics Consortium
WOS Research AreaEngineering
WOS SubjectEngineering, Multidisciplinary
WOS IDWOS:000518679200011
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/95581
Collection地球与行星物理院重点实验室
Corresponding AuthorGuo, Junxin
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, 19 Beitucheng Western Rd, Beijing 100029, Peoples R China
2.Chinese Acad Sci, Inst Earth Sci, 19 Beitucheng Western Rd, Beijing 100029, Peoples R China
3.China Univ Petr East China, Key Lab Deep Oil & Gas, 66 Changjiang West Rd, Qingdao 266580, Shandong, Peoples R China
4.Southern Univ Sci & Technol, Dept Earth & Space Sci, Shenzhen 518055, Peoples R China
5.Univ Sci & Technol China, Sch Earth & Space Sci, Hefei 230026, Peoples R China
6.Curtin Univ, GPO Box 01987, Perth, WA 6845, Australia
7.CSIRO, 26 Dick Perry Ave, Kensington, WA 6152, Australia
8.Univ Chinese Acad Sci, Coll Earth & Planetary Sci, 19 A Yuquan Rd, Beijing 100049, Peoples R China
First Author AffilicationInstitute of Geology and Geophysics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Fu, Bo-Ye,Fu, Li-Yun,Guo, Junxin,et al. Semi-analytical solution to the problem of frequency dependent anisotropy of porous media with an aligned set of slit cracks[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,2020,147:17.
APA Fu, Bo-Ye,Fu, Li-Yun,Guo, Junxin,Galvin, Robert J.,&Gurevich, Boris.(2020).Semi-analytical solution to the problem of frequency dependent anisotropy of porous media with an aligned set of slit cracks.INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,147,17.
MLA Fu, Bo-Ye,et al."Semi-analytical solution to the problem of frequency dependent anisotropy of porous media with an aligned set of slit cracks".INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 147(2020):17.
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