A two-stage adaptive stochastic collocation method on nested sparse   grids for multiphase flow in randomly heterogeneous porous media

doi:10.1016/j.jcp.2016.10.061

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	A two-stage adaptive stochastic collocation method on nested sparse grids for multiphase flow in randomly heterogeneous porous media
	Liao, Qinzhuo ; Zhang, Dongxiao ; Tchelepi, Hamdi
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2017
关键词	Adaptive stochastic collocation method Nested sparse grids Two-stage approach Multiphase flow Heterogeneous porous media PARTIAL-DIFFERENTIAL-EQUATIONS RANDOM INPUT DATA PROBABILISTIC COLLOCATION UNCERTAINTY TRANSFORM TRANSPORT EXPANSIONS QUADRATURE EFFICIENT
DOI	10.1016/j.jcp.2016.10.061
英文摘要	A new computational method is proposed for efficient uncertainty quantification of multiphase flow in porous media with stochastic permeability. For pressure estimation, it combines the dimension-adaptive stochastic collocation method on Smolyak sparse grids and the Kronrod-Patterson-Hermite nested quadrature formulas. For saturation estimation, an additional stage is developed, in which the pressure and velocity samples are first generated by the sparse grid interpolation and then substituted into the transport equation to solve for the saturation samples, to address the low regularity problem of the saturation, Numerical examples are presented for multiphase flow with stochastic permeability fields to demonstrate accuracy and efficiency of the proposed two-stage adaptive stochastic collocation method on nested sparse grids. (C) 2016 Elsevier Inc. All rights reserved.; National Natural Science Foundation of China [U1262204, U1663208, 51520105005, 51604013]; China Postdoctoral Science Foundation [2016M590021]; Reservoir Simulation Research Consortium at Stanford University (SUPRI-B); SCI(E); ARTICLE; 828-845; 330
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/475470]
专题	工学院
推荐引用方式 GB/T 7714	Liao, Qinzhuo,Zhang, Dongxiao,Tchelepi, Hamdi. A two-stage adaptive stochastic collocation method on nested sparse grids for multiphase flow in randomly heterogeneous porous media[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017.
APA	Liao, Qinzhuo,Zhang, Dongxiao,&Tchelepi, Hamdi.(2017).A two-stage adaptive stochastic collocation method on nested sparse grids for multiphase flow in randomly heterogeneous porous media.JOURNAL OF COMPUTATIONAL PHYSICS.
MLA	Liao, Qinzhuo,et al."A two-stage adaptive stochastic collocation method on nested sparse grids for multiphase flow in randomly heterogeneous porous media".JOURNAL OF COMPUTATIONAL PHYSICS (2017).