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Volume 7, Issue 4
Numerical Calculation of Effective Permeability by Double Randomization Monte Carlo Method

D. Kolyukhin & M. Espedal

Int. J. Numer. Anal. Mod., 7 (2010), pp. 607-618.

Published online: 2010-07

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  • Abstract

The paper is devoted to solving the boundary value problems with random parameters. We consider flows in a porous medium with random permeability field or random boundary conditions. The Monte Carlo method with double randomization is suggested to compute the statistical properties of the flow. The paper focuses on the calculating of media’s effective permeability. The method is compared with a standard Monte Carlo approach. Numerical tests show that double randomization gives high accuracy and can improve computational efficiency.

  • Keywords

Stochastic models, effective permeability, Monte Carlo method, double randomization.

  • AMS Subject Headings

65C05, 65C20, 76S05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-7-607, author = {D. Kolyukhin and M. Espedal}, title = {Numerical Calculation of Effective Permeability by Double Randomization Monte Carlo Method}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {4}, pages = {607--618}, abstract = {

The paper is devoted to solving the boundary value problems with random parameters. We consider flows in a porous medium with random permeability field or random boundary conditions. The Monte Carlo method with double randomization is suggested to compute the statistical properties of the flow. The paper focuses on the calculating of media’s effective permeability. The method is compared with a standard Monte Carlo approach. Numerical tests show that double randomization gives high accuracy and can improve computational efficiency.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/741.html} }
TY - JOUR T1 - Numerical Calculation of Effective Permeability by Double Randomization Monte Carlo Method AU - D. Kolyukhin & M. Espedal JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 607 EP - 618 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/741.html KW - Stochastic models, effective permeability, Monte Carlo method, double randomization. AB -

The paper is devoted to solving the boundary value problems with random parameters. We consider flows in a porous medium with random permeability field or random boundary conditions. The Monte Carlo method with double randomization is suggested to compute the statistical properties of the flow. The paper focuses on the calculating of media’s effective permeability. The method is compared with a standard Monte Carlo approach. Numerical tests show that double randomization gives high accuracy and can improve computational efficiency.

D. Kolyukhin and M. Espedal. (2010). Numerical Calculation of Effective Permeability by Double Randomization Monte Carlo Method. International Journal of Numerical Analysis and Modeling. 7 (4). 607-618. doi:
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