Pressure and flow statistics of Darcy flow from simulated annealing
Abstract
The pressure and flow statistics of Darcy flow through a random permeable medium are expressed in a form suitable for evaluation by the method of simulated annealing. There are several attractive aspects to using simulated annealing: (i) any probability distribution can be used for the permeability, (ii) there is no need to invert the transmissibility matrix which, while not a factor for single-phase flow, offers distinct advantages for the case of multiphase flow, and (iii) the action used for simulated annealing is eminently suitable for coarse graining by integrating over the short-wavelength degrees of freedom. In this paper, we show that the pressure and flow statistics obtained by simulated annealing are in excellent agreement with the more conventional finite-volume calculations.
Keywords
Cite
@article{arxiv.1903.10439,
title = {Pressure and flow statistics of Darcy flow from simulated annealing},
author = {Marise J. E. Westbroek and Peter R. King and Dimitri D. Vvedensky and Ronnie L. Schwede},
journal= {arXiv preprint arXiv:1903.10439},
year = {2019}
}