A BME solution of the inverse problem for saturated groundwater flow
type: Item
instance of: scholarly article
title: A BME solution of the inverse problem for saturated groundwater flow
zbMATH Open document ID: 1101.86311
author: Yanyan Li
published in: Stochastic Environmental Research and Risk Assessment
publication date: 2004-09-22T00:00:00Z
review text: In most real-world hydrogeologic situations, natural heterogeneity and measurement errors introduce major sources of uncertainty in the solution of the inverse problem. The Bayesian Maximum Entropy (BME) method of modern geostatistics offers an efficient solution to the inverse problem by first assimilating various physical knowledge bases (hydrologic laws, water table elevation data, uncertain hydraulic resistivity measurements, etc.) and then producing robust estimates of the subsurface variables across space. We present specific methods for implementing the BME conceptual framework to solve an inverse problem involving Darcy's law for subsurface flow. We illustrate one of these methods in the case of a synthetic one-dimensional case study concerned with the estimation of hydraulic resistivity conditioned on soft data and hydraulic head measurements. The BME framework processes the physical knowledge contained in Darcy's law and generates accurate estimates of hydraulic resistivity across space. The optimal distribution of hard and soft data needed to minimize the associated estimation error at a specified sampling cost is determined.
Mathematics Subject Classification ID: 86A32
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 86A22
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 2102070
Wikidata QID: Q56949001
MaRDI profile type: Publication
full work available at URL: s00477-003-0156-2
OpenAlex ID: W1963649417
DOI: 10.1007/S00477-003-0156-2
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description: scientific article; zbMATH DE number 2102070