Effects of kriging and inverse modeling on conditional simulation of the Avra Valley Aquifer in southern Arizona

作者: Peter M. Clifton , Shlomo P. Neuman

DOI: 10.1029/WR018I004P01215

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摘要: The Avra Valley aquifer in southern Arizona is modeled stochastically at three levels of uncertainty. highest level uncertainty occurs when log transmissivity estimates are based on measured values this parameter but without regard to the geographic location each measurement point. resulting steady state hydraulic heads aquifer, computed by unconditional simulation with aid a multivariate normal random number generator coupled finite element model, have relatively large variance. This variance can be reduced conditioning spatial arrangement data means kriging. When conditional performed intermediate same technique as case, predicted head factor 3.2. lowest achieved further conditioned relating flow regime, such rates and water observation wells, statistical inverse procedure. Conditional novel concept. It results prediction that 14.3 times lower than corresponding kriged transmissivities. net effect kriging modeling reduce 46.0. A similar study Binsarti (1980) Cortaro showed insignificant reduction due kriging, four after modeling. These indicate method may much greater fact 46 implies one should cautious dealing stochastic models which effects disregarded.

参考文章(26)
Fred C. Schweppe, Uncertain dynamic systems ,(1973)
Peter Maxwell. Clifton, Statistical inverse modeling and geostatistical analysis of the Avra Valley aquifer The University of Arizona.. ,(1981)
Leslie Smith, R. Allan Freeze, Stochastic analysis of steady state groundwater flow in a bounded domain: 1. One-dimensional simulations Water Resources Research. ,vol. 15, pp. 521- 528 ,(1979) , 10.1029/WR015I003P00521
J.E. Warren, H.S. Price, Flow in Heterogeneous Porous Media Society of Petroleum Engineers Journal. ,vol. 1, pp. 153- 169 ,(1961) , 10.2118/1579-G
Shlomo P. Neuman, Sidney Yakowitz, A statistical approach to the inverse problem of aquifer hydrology: 1. Theory Water Resources Research. ,vol. 15, pp. 845- 860 ,(1979) , 10.1029/WR015I004P00845
E. Schuster, S. Yakowitz, Contributions to the Theory of Nonparametric Regression, with Application to System Identification Annals of Statistics. ,vol. 7, pp. 139- 149 ,(1979) , 10.1214/AOS/1176344560
Andrew P. Sage, James L. Melsa, W. J. Steinway, Estimation theory with applications to communications and control ,(1979)
Leslie Smith, Franklin W. Schwartz, mass transport: 2. Analysis of uncertainty in prediction Water Resources Research. ,vol. 17, pp. 351- 369 ,(1981) , 10.1029/WR017I002P00351