Efficient pseudo-spectral solvers for the PKN model of hydrofracturing
Numerical Analysis
2013-03-26 v2 Fluid Dynamics
Geophysics
Abstract
In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers based on this approach compute both the solution and its temporal derivative. In comparison with conventional solvers, they demonstrate excellent cost effectiveness in terms of balance between the accuracy of computations and densities of the temporal and spatial meshes. Various leak-off regimes are considered.
Keywords
Cite
@article{arxiv.1302.1209,
title = {Efficient pseudo-spectral solvers for the PKN model of hydrofracturing},
author = {Michal Wrobel and Gennady Mishuris},
journal= {arXiv preprint arXiv:1302.1209},
year = {2013}
}
Comments
26 pages, 12 Figures, 1 Table