14-17 May 2018
New Orleans
US/Central timezone

Upscaling Anomalous Gas Behavior in Nanopores in a Multiporosity Shale Gas: Impact on Macroscopic Mass Transfer and Shape Factors

16 May 2018, 14:55
New Orleans

New Orleans

Oral 20 Minutes MS 1.25: Upscaling Porous Materials with Strong Solid-Fluid Interactions Parallel 8-F


Ms Patricia Pereira (Laboratório nacional de Conputação Científica (LNCC))


We consider a shale gas reservoir with multimodal distribution composed of networks of natural and hydraulic fractures along with nano and micropores dispersed within the organic and inorganic matters.

Under the long term pseudo-steady state regime, characterized by the absence of pressure variability in the matrix, mass transfer between matrix and fractures can be approximated by the classical resistance law, which requires the precise evaluation of the shape factor.

Such a framework is well established for bulk fluids in a matrix composed of a single solid phase but still not well understood for highly reactive systems such as shale, characterized by the presence of both organic and inorganic matters.

By proceeding within the framework of formal homogenization, we analyse precisely the influence of gas adsorption in the organic matter and Knudsen effects on the validity of the pseudo-steady regime and the magnitude of the shape factor. By discretizing the coupled non-linear diffusion equations by the Finite Element Method, numerical experiments illustrate the influence of gas adsorption and organic matter upon the accuracy of the pseudo-steady regime for several arrangements of fracture networks.


Warren, J. E., & Root, P. J. The Behavior of Naturally Fractured Reservoirs. Society of Petroleum Engineers. (1963) 3:245

Landereau, P. Noetinger, B. Quintard, M. Quasi-steady two-equation models for di€usive transport in fractured
porous media: large-scale properties for densely fractured systems. Advances in Water Resources (2001) 24:863

Nœtinger, B. & Estebenet, T. Up-Scaling of Double Porosity Fractured Media Using Continuous-Time Random Walks
Methods. Transport in Porous Media (2000) 39: 315.

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Primary authors

Ms Patricia Pereira (Laboratório nacional de Conputação Científica (LNCC)) Ms Aline Rocha (Laboratório nacional de Computação Cientpifica (LNCC)) Dr Márcio Murad (Laboratório nacional de Computação Científica (LNCC))

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