Benchmark problems for subsurface flow uncertainty quantification

doi:10.1016/j.jhydrol.2015.09.040

CORC > 北京大学 > 工学院

	Benchmark problems for subsurface flow uncertainty quantification
	Chang, Haibin ; Liao, Qinzhuo ; Zhang, Dongxiao
刊名	JOURNAL OF HYDROLOGY
	2015
关键词	Uncertainty quantification Subsurface flow Benchmark problems PROBABILISTIC COLLOCATION METHOD PARTIAL-DIFFERENTIAL-EQUATIONS GLOBAL SENSITIVITY-ANALYSIS CONTAMINANT TRANSPORT KARHUNEN-LOEVE POROUS-MEDIA EFFICIENT GROUNDWATER SIMULATIONS FIELDS
DOI	10.1016/j.jhydrol.2015.09.040
英文摘要	In this work, we design a series of benchmark problems for subsurface flow uncertainty quantification. Three basic subsurface flow problems with increasing complexity are selected, which are steady state groundwater flow, groundwater contamination, and multi-phase flow. For the steady state groundwater flow, hydraulic conductivity is assumed to be uncertain, and the uncertain model parameter is assumed to be Gaussian random constant, Gaussian random field, and facies field, respectively. For the other two flow problems, the uncertain model parameter is assumed to be Gaussian random field and facies field, respectively. The statistical property of the uncertain model parameter is specified for each problem. The Monte Carlo (MC) method is used to obtain the benchmark results. The results include the first two statistical moments and the probability density function of the quantities of interest. To verify the MC results, we test the convergence of the results and the reliability of the sampling algorithm. For any existing and newly developed uncertainty quantification methods, which are not (fully) verified, the designed benchmark problems in this work can facilitate the verification process of those methods. For illustration, in this work, we provide a verification of the probabilistic collocation method using the benchmark results. (C) 2015 Elsevier B.V. All rights reserved.; National Natural Science Foundation of China [51304008, U1262204]; National Science and Technology Major Project of China [2011ZX05009-006, 2011ZX05052]; National Key Technology R&D Program of China [2012BAC24B02]; SCI(E); EI; ARTICLE; dxz@pku.edu.cn; ,SI; 168-186; 531
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/424432]
专题	工学院
推荐引用方式 GB/T 7714	Chang, Haibin,Liao, Qinzhuo,Zhang, Dongxiao. Benchmark problems for subsurface flow uncertainty quantification[J]. JOURNAL OF HYDROLOGY,2015.
APA	Chang, Haibin,Liao, Qinzhuo,&Zhang, Dongxiao.(2015).Benchmark problems for subsurface flow uncertainty quantification.JOURNAL OF HYDROLOGY.
MLA	Chang, Haibin,et al."Benchmark problems for subsurface flow uncertainty quantification".JOURNAL OF HYDROLOGY (2015).