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Τίτλος: Efficient simulation of (log)normal random fields for hydrogeological applications
Συγγραφείς: Kyriakidis, Phaedon 
Gaganis, Petros 
Major Field of Science: Engineering and Technology
Field Category: Environmental Engineering
Λέξεις-κλειδιά: Geostatistics;Monte Carlo simulation;Latin hypercube;Mahalanobis distance;Modflow;MT3D
Ημερομηνία Έκδοσης: 18-Ιου-2013
Πηγή: Mathematical Geosciences, 2013, vol. 45, no. 5, pp. 531–556
Volume: 45
Issue: 5
Start page: 531
End page: 556
Περιοδικό: Mathematical Geosciences 
Περίληψη: Two methods for generating representative realizations from Gaussian and lognormal random field models are studied in this paper, with term representative implying realizations efficiently spanning the range of possible attribute values corresponding to the multivariate (log)normal probability distribution. The first method, already established in the geostatistical literature, is multivariate Latin hypercube sampling, a form of stratified random sampling aiming at marginal stratification of simulated values for each variable involved under the constraint of reproducing a known covariance matrix. The second method, scarcely known in the geostatistical literature, is stratified likelihood sampling, in which representative realizations are generated by exploring in a systematic way the structure of the multivariate distribution function itself. The two sampling methods are employed for generating unconditional realizations of saturated hydraulic conductivity in a hydrogeological context via a synthetic case study involving physically-based simulation of flow and transport in a heterogeneous porous medium; their performance is evaluated for different sample sizes (number of realizations) in terms of the reproduction of ensemble statistics of hydraulic conductivity and solute concentration computed from a very large ensemble set generated via simple random sampling. The results show that both Latin hypercube and stratified likelihood sampling are more efficient than simple random sampling, in that overall they can reproduce to a similar extent statistics of the conductivity and concentration fields, yet with smaller sampling variability than the simple random sampling.
URI: https://hdl.handle.net/20.500.14279/8638
ISSN: 18748961
18748953
DOI: 10.1007/s11004-013-9470-5
Rights: © Springer
Type: Article
Affiliation: University of Aegean 
Publication Type: Peer Reviewed
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