水力压裂增强伪三维模型与支撑剂输运模型的耦合
流体动力学
2020-04-01 v2 计算物理
摘要
本文提出水力压裂与支撑剂输运的耦合模型。前者由考虑跨两个对称应力屏障高度增长的增强伪三维模型描述，而后者由二维输运模型给出，该模型源于流体压力的椭圆方程与支撑剂输运的平流方程之解。这两个子模块分别采用水力部分的隐式时间积分与输运部分的显式时间步进进行数值求解。此外，采用插值将具有不同网格的两个模型耦合。给出了若干不同构型的数值模拟结果，以展示这两个模块之间的相互作用。特别是，所开发的耦合格式使我们能够研究与裂缝内复杂流体流动相关的现象，例如Saffman-Taylor不稳定性的情形。
引用
@article{arxiv.2003.05676,
title = {The coupling of an enhanced pseudo-3D model for hydraulic fracturing with a proppant transport model},
author = {Arthur M. Skopintsev and Egor V. Dontsov and Pavel V. Kovtunenko and Alexey N. Baykin and Sergey V. Golovin},
journal= {arXiv preprint arXiv:2003.05676},
year = {2020}
}
备注
Although the EP3D model was used in this study, the Planar3D model is a benchmark for engineering simulators that are currently being developed. Authors have understood how to represent the better agreement between results by both models, how to explain results in coupled model in more general sense, so we need to withdraw the manuscript and re-submit it in significantly updated form