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Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity

文献类型：期刊论文

作者Zhao, Luanxiao3; Cao, Chenghao4; Yao, Qiuliang1,6; Wang, Yirong3; Li, Hui5; Yuan, Hemin2; Geng, Jianhua3; Han, De-Hua6
刊名JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
出版日期2020-03-01
卷号125期号:3页码:19
ISSN号2169-9313
DOI10.1029/2019JB018328
英文摘要By evaluating the consistency of the Gassmann theory with various inclusion-based effective medium theories, we investigate the impact of elastic interactions between ellipsoidal pores on the poroelasticity. To rule out any factors that can violate the Gassmann condition, other than elastic interactions, we first construct idealized models that contain only a single set of isolated, identical, and vertically aligned ellipsoidal pores. The numerical simulation suggests that the periodic distribution of ellipsoidal pores generate uniform pore pressure distribution, whereas random distribution of ellipsoidal pores generates heterogeneous pore pressure distributions. Then we analyze the precise conditions under which the underlying Gassmann relationship is valid for various inclusion-based models. The results reveal the following: (1) Noninteracting effective medium theories are always consistent with the Gassmann prediction, simply because the elastic interactions are ignored. (2) The elastic interactions between randomly distributed pores cause heterogeneous pore pressure that violates the essential requirement of the Gassmann theory. The differential effective medium and self-consistent approximation theories corresponding to this model thus are inconsistent with the Gassmann prediction. (3) The elastic interactions between periodically distributed pores cause uniform pore pressure; therefore, the Gassmann condition is fully satisfied. The T-matrix approach explicitly takes into account such elastic interactions and thus is consistent with the Gassmann theory. It is interesting to notice that on top of other well-known common types of heterogeneities, like pore structure or fluid heterogeneities, the distribution of pores and its associated elastic interactions can be a separate source of heterogeneity, and this makes Gassmann equations not valid anymore.
WOS关键词LONG-WAVELENGTH PROPAGATION ; SATURATED POROUS ROCKS ; SELF-CONSISTENT ; SEISMIC-WAVES ; ATTENUATION ; VELOCITY ; MODULI ; DISPERSION ; ANISOTROPY ; SIGNATURES
资助项目National Natural Science Foundation of China[41874124] ; National Key R&D Program of China[2018YFC0310105] ; Young Elite Scientists Sponsorship Program by CAST[2017QNRC001]
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000530895800016
出版者AMER GEOPHYSICAL UNION
资助机构National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; Young Elite Scientists Sponsorship Program by CAST ; Young Elite Scientists Sponsorship Program by CAST ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; Young Elite Scientists Sponsorship Program by CAST ; Young Elite Scientists Sponsorship Program by CAST ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; Young Elite Scientists Sponsorship Program by CAST ; Young Elite Scientists Sponsorship Program by CAST ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; Young Elite Scientists Sponsorship Program by CAST ; Young Elite Scientists Sponsorship Program by CAST
源URL[http://ir.iggcas.ac.cn/handle/132A11/96723]  
专题地质与地球物理研究所_中国科学院油气资源研究重点实验室
通讯作者Zhao, Luanxiao
作者单位1.Halliburton Consulting & Project Management, Houston, TX USA
2.Univ Copenhagen, Dept Geosci & Nat Resource Management, Copenhagen, Denmark
3.Tongji Univ, State Key Lab Marine Geol, Shanghai, Peoples R China
4.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resource Res, Beijing, Peoples R China
5.Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian, Peoples R China
6.Univ Houston, Dept Earth & Atmospher Sci, Houston, TX USA
推荐引用方式
GB/T 7714		 Zhao, Luanxiao,Cao, Chenghao,Yao, Qiuliang,et al. Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity[J]. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH,2020,125(3):19.
APA Zhao, Luanxiao.,Cao, Chenghao.,Yao, Qiuliang.,Wang, Yirong.,Li, Hui.,...&Han, De-Hua.(2020).Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity.JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH,125(3),19.
MLA Zhao, Luanxiao,et al."Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity".JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH 125.3(2020):19.

入库方式： OAI收割

来源：地质与地球物理研究所

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