1986
DOI: 10.1029/wr022i005p00705
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A Comparison of Several Methods for the Solution of the Inverse Problem in Two‐Dimensional Steady State Groundwater Flow Modeling

Abstract: Two geostatistical approaches for the estimation of hydraulic conductivity and hydraulic head from hydraulic conductivity and hydraulic head measurements are developed for two‐dimensional steady flow with sinks. For both approaches the field of the logarithm of hydraulic conductivity (log‐conductivity) is represented as a random field with mean θ1+θ2x+θ3y where x and y denote Cartesian coordinates, variance σ2, and covariance σ2, exp (−αR), σ2, exp (−αR2), or, σ2ΔRr where α, Δ, and r are constants and R is sep… Show more

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Cited by 36 publications
(20 citation statements)
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“…Since the early work of Jacquard and Jain [1965], several classes of methods have been developed for computing such sensitivities. For more details, interested readers should consult the reviews by Yeh [1986], Kuiper [1986], Carrera [1988], Ginn and Cushman [1990], Sun [1994], and Mclaughlin and Townley [1996]. Some difficulties in interpreting pressure observations are due to the computation required to solve the inverse'problem and due to the localized nature of pressure sensitivities.…”
Section: Paper Number 2000wr900179mentioning
confidence: 99%
“…Since the early work of Jacquard and Jain [1965], several classes of methods have been developed for computing such sensitivities. For more details, interested readers should consult the reviews by Yeh [1986], Kuiper [1986], Carrera [1988], Ginn and Cushman [1990], Sun [1994], and Mclaughlin and Townley [1996]. Some difficulties in interpreting pressure observations are due to the computation required to solve the inverse'problem and due to the localized nature of pressure sensitivities.…”
Section: Paper Number 2000wr900179mentioning
confidence: 99%
“…Comprehensive reviews are given by Yeh [1986], Kuiper [1986], Carrera [1998], Ginn and Cushman [1990], Sun [1994], and McLaughlin and Townley [1996]. Most published studies were concerned with the identification of hydraulic conductivity and storage coefficient based on head observations.…”
Section: Introductionmentioning
confidence: 99%
“…Some papers deal with source terms identification problems [3,4,5,6]. A larger body of litterature is concerned, as we are in this paper, with the estimation of coefficients [7,1,8,9,10,11,12,13]. Most often the proposed methods assume some sort of smoothness of the variation of these parameters.…”
Section: Introductionmentioning
confidence: 99%