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Flux Characterization in Heterogeneous Transport Problems by the Boundary Integral Method

In: Integral Methods in Science and Engineering, Volume 2

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  • R. D. Hazlett

    (The University of Tulsa, McDougall School of Petroleum Engineering)

Abstract

Potential flow problems with spatially varying transport coefficients are commonplace. While numerical methods are often implemented for such problems, coupled analytic solutions to heterogeneous, anisotropic problems enable below-grid, nonlinear flow effects to be accurately captured, even for systems with complex source functions. Coupling occurs through construction of boundary integrals to capture material transport between homogeneous domains. Various nonparametric methods are examined to compute the unknown flux distribution, including Gauss node distribution schemes with point source functions and patch-wise, semi-analytic integration. The merits of a posed parametric method that asserts a hybrid boundary condition and avoids numerical integration altogether within an overall analytic structure are further examined here. Reduction of heterogeneous problems to equivalent homogeneous transport property problems yields an additional term with linkage to uniform flux and uniform pressure contributions at increasingly distance interfaces in prolonged systems.

Suggested Citation

  • R. D. Hazlett, 2017. "Flux Characterization in Heterogeneous Transport Problems by the Boundary Integral Method," Springer Books, in: Christian Constanda & Matteo Dalla Riva & Pier Domenico Lamberti & Paolo Musolino (ed.), Integral Methods in Science and Engineering, Volume 2, chapter 0, pages 115-125, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-59387-6_12
    DOI: 10.1007/978-3-319-59387-6_12
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