气候变化领域集成服务门户(CCPortal): Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity

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DOI	10.1029/2019JB018328
	Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity
	Zhao L.; Cao C.; Yao Q.; Wang Y.; Li H.; Yuan H.; Geng J.; Han D.-H.
发表日期	2020
ISSN	21699313
卷号	125 期号:3
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. ©2020. American Geophysical Union. All Rights Reserved.
英文关键词	dispersion; elastic interactions; Gassmann; inclusion effective medium theories; poroelasticity
语种	英语
来源期刊	Journal of Geophysical Research: Solid Earth
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/187894
作者单位	State Key Laboratory of Marine Geology, Tongji University, Shanghai, China; Key Laboratory of Petroleum Resource Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China; Halliburton Consulting and Project Management, Houston, TX, United States; Department of Earth and Atmospheric Sciences, University of Houston, Houston, TX, United States; The School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China; Department of Geosciences and Natural Resource Management, University of Copenhagen, Copenhagen, Denmark
推荐引用方式 GB/T 7714	Zhao L.,Cao C.,Yao Q.,et al. Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity[J],2020,125(3).
APA	Zhao L..,Cao C..,Yao Q..,Wang Y..,Li H..,...&Han D.-H..(2020).Gassmann Consistency for Different Inclusion-Based Effective Medium Theories: Implications for Elastic Interactions and Poroelasticity.Journal of Geophysical Research: Solid Earth,125(3).
MLA	Zhao L.,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).