arXiv Open Access 2018

Evaluation of the path integral for flow through random porous media

Marise J. E. Westbroek Gil-Arnaud Coche Peter R. King Dimitri D. Vvedensky

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Abstrak

We present a path integral formulation of Darcy's equation in one dimension with random permeability described by a correlated multi-variate lognormal distribution. This path integral is evaluated with the Markov chain Monte Carlo method to obtain pressure distributions, which are shown to agree with the solutions of the corresponding stochastic differential equation for Dirichlet and Neumann boundary conditions. The extension of our approach to flow through random media in two and three dimensions is discussed.

Topik & Kata Kunci

physics.comp-ph cond-mat.mtrl-sci physics.flu-dyn physics.geo-ph

Penulis (4)

Marise J. E. Westbroek

Gil-Arnaud Coche

Peter R. King

Dimitri D. Vvedensky

Format Sitasi

APA MLA BibTeX

Westbroek, M.J.E., Coche, G., King, P.R., Vvedensky, D.D. (2018). Evaluation of the path integral for flow through random porous media. https://arxiv.org/abs/1803.07382

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓