| DOI: | 10.2172/1050707
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| 报告号: | LBNL-4863E
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| 报告题名: | Averaged Description of Flow (Steady and Transient) and Nonreactive Solute Transport in Random Porous Media |
| 作者: | Morrison, F.; Becker, A.; Conti, U.; Gasperikova, E.
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| 出版年: | 2011
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| 发表日期: | 2011-06-15
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| 国家: | 美国
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| 语种: | 英语
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| 中文主题词: | 导电性
; 速度
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| 主题词: | CONDUCTIVITY
; VELOCITY
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| 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. |
| URL: | http://www.osti.gov/scitech/servlets/purl/1050707
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| Citation statistics: |
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| 资源类型: | 研究报告
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| 标识符: | http://119.78.100.158/handle/2HF3EXSE/40199
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| Appears in Collections: | 过去全球变化的重建
影响、适应和脆弱性
科学计划与规划
气候变化与战略
全球变化的国际研究计划
气候减缓与适应
气候变化事实与影响
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| 1050707.pdf（198KB） | 研究报告 | -- | 开放获取 | | View
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| Recommended Citation: | |
Morrison, F.,Becker, A.,Conti, U.,et al. Averaged Description of Flow (Steady and Transient) and Nonreactive Solute Transport in Random Porous Media. 2011-01-01.
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