Statistical analysis of liquid seepage in partially saturated heterogeneous fracture systems

Liou, Tai Sheng

doi:10.2172/753887

Cited by 3 publications

(2 citation statements)

References 40 publications

(63 reference statements)

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“…Intrafracture flow patterns are strongly dependent on tortuosity effects that take place in the fracture space [e.g., Tsang , 1984]. Tortuosity effects in intrafracture flow processes are significantly dependent on the asperity pattern, which may lead to complex dendritic patterns for the saturation distribution within a fracture during wetting‐drying cycles [ Liou , 1999; Pruess , 1999, 2000; Ho , 2001].…”

Section: Key Features Of Geometry and Nonlinear Dynamics Of Flow Thromentioning

confidence: 99%

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Nonlinear dynamics in flow through unsaturated fractured porous media: Status and perspectives

Faybishenko

2004

Reviews of Geophysics

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[1] The need has long been recognized to improve predictions of flow and transport in partially saturated heterogeneous soils and fractured rock of the vadose zone for many practical applications, such as remediation of contaminated sites, nuclear waste disposal in geological formations, and climate predictions. Until recently, flow and transport processes in heterogeneous subsurface media with oscillating irregularities were assumed to be random and were not analyzed using methods of nonlinear dynamics. The goals of this paper are to review the theoretical concepts, present the results, and provide perspectives on investigations of flow and transport in unsaturated heterogeneous soils and fractured rock, using the methods of nonlinear dynamics and deterministic chaos. The results of laboratory and field investigations indicate that the nonlinear dynamics of flow and transport processes in unsaturated soils and fractured rocks arise from the dynamic feedback and competition between various nonlinear physical processes along with complex geometry of flow paths. Although direct measurements of variables characterizing the individual flow processes are not technically feasible, their cumulative effect can be characterized by analyzing time series data using the models and methods of nonlinear dynamics and chaos. Identifying flow through soil or rock as a nonlinear dynamical system is important for developing appropriate short-and long-time predictive models, evaluating prediction uncertainty, assessing the spatial distribution of flow characteristics from time series data, and improving chemical transport simulations. Inferring the nature of flow processes through the methods of nonlinear dynamics could become widely used in different areas of the earth sciences.

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Section: Key Features Of Geometry and Nonlinear Dynamics Of Flow Thromentioning

confidence: 99%

“…Faybishenko: NONLINEAR DYNAMICS IN UNSATURATED FLOW which may lead to complex dendritic patterns for the saturation distribution within a fracture during wettingdrying cycles [Liou, 1999;Pruess, 1999Pruess, , 2000Ho, 2001].…”

Section: Rg2003mentioning

confidence: 99%