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• W2413202017 abstract "Review of automatic history matching of reservoirs parameters in groundwater flow raises the problem of identiflability of aquifer systems. Lack of identiflability means that there exists parameters to which the heads are insensitive. From the guidelines of the study of the homogeneous case, we inspect the identiflability of the transmissivity field of heteregeneous groundwater aquifers. These are derived from multiple realizations of a random function. We follow the identiflability of the transmissivity for each sample of the population N(O, Oy, c*y) through the measure of the sensivity of the local derivatives D^h = (d h /d T ). Results obtained from an analysis of a Monte Carlo type suggest that the more a system is heterogeneous, the less it is identifiable with the classical least square estimator which appears as a rough one. INTRODUCTION The increasing development of computer groundwater modelling still have to face the problem of estimating the aquifer parameters. This decisive stage in the process is still conducted in the Transactions on Modelling and Simulation vol 10, © 1995 WIT Press, www.witpress.com, ISSN 1743-355X 426 Computational Methods and Experimental Measurements traditional way of trials-errors analysis. Although very instructive, this technique is time consuming. Several attempts to perform automatically the model calibration, i.e. history matching, actually failed because of ill posedness. Now, however, a large body of the works on the subject define the conditions under which identiflability of aquifer systems is possible. In this way, Kitamura [1], Chavent [2] and Carrera and al, [3] have pointed out some basic rules where identiflability of parameters can be realised. They confirmed the orientations of the previous works seeking for preliminary data, setting upper and lower bounds, attempting to reduce errors of measure and trying transformations to moderate non linearities. Moreover, recent development in the discipline reveal a tendancy to get out the single valued predictions and, further, to produce confidence bounds. The previous features let the parameters not transgressing their allowed domain as dictated by the field through the characteristics of its spatial variability i.em , a and a concerning Y = log T. Thus, our point will be this : According to the definition, now agreed, that lack of identiflability means that there exists some parameters to which the heads are insensitive, we look into this insensivity with respect to the heterogeneity field. Through the measure of the local derivatives D h = ( d h / d T) T l J realized on multiple replications of a single field, log T, we follow the evolution of D h for different values of the parameters a and a of the heteroY Y geneous field. These realizations of the random function Y are obtained from a generator of autocorrelated log-normal values of transmissivities. These are extracted from the population N(O, a ;ot ). The simulations performed on these synthetic realizations are of Monte Carlo type. They provide both a measure of a sensivity of h to T and of T to h parametrized on a and a . As one cannot intuitively guess, identiflability of aquifers systems is not significantly affected by the degree Transactions on Modelling and Simulation vol 10, © 1995 WIT Press, www.witpress.com, ISSN 1743-355X" @default.
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• W2413202017 title "Identifiability Versus Heterogeneity" @default.
• W2413202017 doi "https://doi.org/10.2495/cmem950461" @default.
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