Averaged Description of Flow (Steady and Transient) and Nonreactive Solute Transport in Random Porous Media

doi:10.2172/1050707

GSTDTAP > 地球科学

DOI	10.2172/1050707
报告编号	LBNL-4863E
来源ID	OSTI ID: 1050707
	Averaged Description of Flow (Steady and Transient) and Nonreactive Solute Transport in Random Porous Media
	Morrison, F.; Becker, A.; Conti, U.; Gasperikova, E.
	2011-06-15
出版年	2011
语种	英语
国家	美国
领域	地球科学
英文摘要	In previous papers (Shvidler and Karasaki, 1999, 2001, 2005, and 2008) we presented and analyzed an approach for finding the general forms of exactly averaged equations of flow and transport in porous media. We studied systems of basic equations for steady flow with sources in unbounded domains with stochastically homogeneous conductivity fields. A brief analysis of exactly averaged equations of nonsteady flow and nonreactive solute transport was also presented. At the core of this approach is the existence of appropriate random Green's functions. For example, we showed that in the case of a 3-dimensional unbounded domain the existence of appropriate random Green's functions is sufficient for finding the exact nonlocal averaged equations for flow velocity using the operator with a unique kernel-vector. Examination of random fields with global symmetry (isotropy, transversal isotropy and orthotropy) makes it possible to describe significantly different types of averaged equations with nonlocal unique operators. It is evident that the existence of random Green's functions for physical linear processes is equivalent to assuming the existence of some linear random operators for appropriate stochastic equations. If we restricted ourselves to this assumption only, as we have done in this paper, we can study the processes in any dimensional bounded or unbounded fields and in addition, cases in which the random fields of conductivity and porosity are stochastically nonhomogeneous, nonglobally symmetrical, etc.. It is clear that examining more general cases involves significant difficulty and constricts the analysis of structural types for the processes being studied. Nevertheless, we show that we obtain the essential information regarding averaged equations for steady and transient flow, as well as for solute transport.
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来源平台	US Department of Energy (DOE)
引用统计
文献类型	科技报告
条目标识符	http://119.78.100.173/C666/handle/2XK7JSWQ/5192
专题	地球科学
推荐引用方式 GB/T 7714	Morrison, F.,Becker, A.,Conti, U.,et al. Averaged Description of Flow (Steady and Transient) and Nonreactive Solute Transport in Random Porous Media,2011.