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Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity
Zhao, Luanxiao1; Cao, Chenghao2; Yao, Qiuliang3,4; Wang, Yirong1; Li, Hui5; Yuan, Hemin6; Geng, Jianhua1; Han, De-Hua4
2020-03-01
Source PublicationJOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
ISSN2169-9313
Volume125Issue:3Pages:19
AbstractBy 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.
DOI10.1029/2019JB018328
Funding OrganizationNational 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
WOS KeywordLONG-WAVELENGTH PROPAGATION ; SATURATED POROUS ROCKS ; SELF-CONSISTENT ; SEISMIC-WAVES ; ATTENUATION ; VELOCITY ; MODULI ; DISPERSION ; ANISOTROPY ; SIGNATURES
Language英语
Funding ProjectNational Natural Science Foundation of China[41874124] ; National Key R&D Program of China[2018YFC0310105] ; Young Elite Scientists Sponsorship Program by CAST[2017QNRC001]
Funding OrganizationNational 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
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000530895800016
PublisherAMER GEOPHYSICAL UNION
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/96723
Collection油气资源研究院重点实验室
Corresponding AuthorZhao, Luanxiao
Affiliation1.Tongji Univ, State Key Lab Marine Geol, Shanghai, Peoples R China
2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resource Res, Beijing, Peoples R China
3.Halliburton Consulting & Project Management, Houston, TX USA
4.Univ Houston, Dept Earth & Atmospher Sci, Houston, TX USA
5.Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian, Peoples R China
6.Univ Copenhagen, Dept Geosci & Nat Resource Management, Copenhagen, Denmark
Recommended Citation
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.
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