Special issue on multiscale methods for flow and transport in heterogeneous porous media

Juanes, Rubén

doi:10.1007/s10596-008-9084-z

Cited by 14 publications

(7 citation statements)

References 9 publications

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“…The assessment of hydraulic properties of deep fractured rock masses has attracted attention in many fields, such as CO 2 sequestration [1,2], enhanced oil recovery [3,4], and groundwater use [5][6][7][8][9]. In tight rocks (i.e., granite and basalt), the permeability of fractures is much larger than that of the rock matrix, and as a result, the rock matrix is assumed to be impermeable [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Flow Characteristics of a System of Two Intersecting Fractures with Different Apertures

et al. 2018

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Abstract:The nonlinear flow regimes of a crossed fracture model consisting of two fractures have been investigated, in which the influences of hydraulic gradient, surface roughness, intersecting angle, and scale effect have been taken into account. However, in these attempts, the aperture of the two crossed fractures is the same and effects of aperture ratio have not been considered. This study aims to extend their works, characterizing nonlinear flow through a system of two intersecting fractures with different apertures. First, three experiment models with two fractures having different apertures were established and flow tests were carried out. Then, numerical simulations by solving the Navier-Stokes equations were performed and the results compared with the experiment results. Finally, the effects of fracture aperture on the critical pressure difference and the ratio of hydraulic aperture to mechanical aperture were systematically analyzed. The results show that the numerical simulation results agree well with those of the fluid flow tests, which indicates that the visualization techniques and the numerical simulation code are reliable. With the increment of flow rate, the pressure difference increases first linearly and then nonlinearly, which can be best fitted using Forchheimer's law. The two coefficients in Forchheimer's law decrease with the increasing number of outlets. When increasing fracture aperture from 3 mm to 5 mm, the critical pressure difference increases significantly. However, when continuously increasing fracture aperture from 5 mm to 7 mm, the critical pressure difference changes are negligibly small. The ratio of hydraulic aperture to mechanical aperture decreases more significantly for a fracture that has a larger aperture. Increasing fracture aperture from 5 mm to 7 mm, that has a negligibly small effect on the critical pressure difference will however significantly influence the ratio of hydraulic aperture to mechanical aperture.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Flow Characteristics of a System of Two Intersecting Fractures with Different Apertures

et al. 2018

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“…Facies data and inference are then used to populate reservoir properties like porosity and permeability on a fine grid, known as a static model (or geomodel). The number of cells in the geomodel is typically too large to perform reservoir flow studies, so a dynamic model is built from either upscaling procedures [e.g., Durlofsky, 1991;Chen et al, 2003] or multiscale techniques [e.g., Arbogast, 2002;Jenny et al, 2003;Aarnes, 2004;Aarnes et al, 2005;Kippe et al, 2008;Juanes and Dub, 2008;Juanes and Tchelepi, 2008], which solve the global reservoir flow equations on a coarser grid. Rock-physics properties like porosity and permeability, and reservoir dynamics properties like During the past two decades, joint flow-geophysics inversion has received increased attention, especially in the context of hydrogeophysics [e.g., Hubbard and Rubin, 2000].…”

Section: Introductionmentioning

confidence: 99%

Sequential approach to joint flow‐seismic inversion for improved characterization of fractured media

Kang

Zheng

Fang

et al. 2016

Water Resources Research

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Seismic interpretation of subsurface structures is traditionally performed without any account of flow behavior. Here we present a methodology for characterizing fractured geologic reservoirs by integrating flow and seismic data. The key element of the proposed approach is the identification-within the inversion-of the intimate relation between fracture compliance and fracture transmissivity, which determine the acoustic and flow responses of a fractured reservoir, respectively. Owing to the strong (but highly uncertain) dependence of fracture transmissivity on fracture compliance, the modeled flow response in a fractured reservoir is highly sensitive to the geophysical interpretation. By means of synthetic models, we show that by incorporating flow data (well pressures and tracer breakthrough curves) into the inversion workflow, we can simultaneously reduce the error in the seismic interpretation and improve predictions of the reservoir flow dynamics. While the inversion results are robust with respect to noise in the data for this synthetic example, the applicability of the methodology remains to be tested for more complex synthetic models and field cases.

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“…Within this framework, the focus has largely been on the development of better preconditioners for the linearized system, such as multiscale methods (Juanes and Tchelepi 2008;Nordbotten 2009), two-stage preconditioners (Cao et al 2005;Stüben et al 2007;Wallis et al 1985), sequential splitting strategies (Watts 1986), and domain decomposition (DD) methods (Quarteroni and Valli 1999;Smith et al 1996;Toselli and Widlund 2005). It should, however, be noted that some multiscale methods also take the full nonlinear problem into account, to a varying degree (Jenny et al 2006;Juanes and Tchelepi 2008). The aim of these and other linear preconditioners is to lower the number of linear iterations needed, thus increasing the computational efficiency of the code.…”

Section: Introductionmentioning

confidence: 99%

Two-Scale Preconditioning for Two-Phase Nonlinear Flows in Porous Media

2015

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Solving realistic problems related to flow in porous media to desired accuracy may be prohibitively expensive with available computing resources. Multiscale effects and nonlinearities in the governing equations are among the most important contributors to this situation. Hence, developing methods that handle these features better is essential in order to be able to solve the problems more efficiently. Focus has until recently largely been on preconditioners for linearized problems. This article proposes a two-scale nonlinear preconditioning technique for flow problems in porous media that allows for incorporating physical intuition directly in the preconditioner. By assuming a certain dominant physical process, this technique will resemble upscaling in the equilibrium limit, with the computational benefits that follow. In this study, the method is established as a preconditioner with good scalability properties for challenging problems regardless of dominant physics, thus laying the foundation for further studies with physical information in the preconditioner.

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Special issue on multiscale methods for flow and transport in heterogeneous porous media

Cited by 14 publications

References 9 publications

Nonlinear Flow Characteristics of a System of Two Intersecting Fractures with Different Apertures

Nonlinear Flow Characteristics of a System of Two Intersecting Fractures with Different Apertures

Sequential approach to joint flow‐seismic inversion for improved characterization of fractured media

Two-Scale Preconditioning for Two-Phase Nonlinear Flows in Porous Media

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