Journal ArticleDOI
Implementation schemes for avoiding artifact discontinuities in simulated annealing
TLDR
In this paper, the authors show that artifact discontinuities can be avoided by considering the anisotropy of the spatial variability model, reducing the number of lag vectors used in the objective function, and providing a rudimentary initial configuration.Abstract:
The simulated annealing algorithm has been applied successfully to conditional simulation of categorical variables (e.g., rock or facies units) with the objective of improving the match between measured and modeled spatial variability. In some implementation schemes, however, spurious features termed “artifact discontinuities” may occur near conditioning data, especially during the “zero- temperature” case referred to as simulated quenching. This paper shows that artifact discontinuities can be avoided by considering the anisotropy of the spatial variability model, reducing the number of lag vectors used in the objective function, and providing a rudimentary initial configuration. Results from several test cases suggest that the artifact discontinuities might be caused by overly precise fitting of measured to modeled spatial variability.read more
Citations
More filters
Journal ArticleDOI
Three‐dimensional hydrofacies modeling based on soil surveys and transition probability geostatistics
TL;DR: In this paper, a Markov chain model of vertical-direction transitions based on well data yields a three-dimensional model of sediment variability which includes cross correlation between sediment types and representation of asymmetry (e.g., fining upward tendencies).
Journal ArticleDOI
Multi-scale alluvial fan heterogeneity modeled with transition probability geostatistics in a sequence stratigraphic framework
Gary S. Weissmann,Graham E. Fogg +1 more
TL;DR: In this article, a transition probability geostatistical approach is used to quantify the distribution of hydrofacies in the subsurface of the Kings River Alluvial Fan.
Journal ArticleDOI
Geologically based model of heterogeneous hydraulic conductivity in an alluvial setting
TL;DR: In this paper, the authors use a Markov chain model of transition probability, representing spatial correlation within and among the facies, capturing the relevant geologic features while highlighting a new approach for statistical characterization of hydrofacies spatial variability, and demonstrate the suitability of conventional geostatistical approaches based on variograms or covariances for modeling geologic heterogeneity.
Journal ArticleDOI
A field assessment of the value of steady shape hydraulic tomography for characterization of aquifer heterogeneities
TL;DR: In this paper, a field-scale assessment of hydraulic tomography in a porous aquifer, with an emphasis on the steady shape analysis methodology, is presented, and the hydraulic conductivity (K) estimates from steady shape and transient analyses of the tomographic data compare well with those from a tracer test and direct-push permeameter tests, providing a field validation of the method.
Book ChapterDOI
Conditional Simulation of Hydrofacies Architecture: A Transition Probability/Markov Approach
TL;DR: In this paper, the transition probability/Markov approach is introduced to consider spatial cross-correlations (juxtapositional tendencies), which is more conducive to integration of geologic interpretation.
References
More filters
Book
GSLIB: Geostatistical Software Library and User's Guide
TL;DR: In this paper, the authors present a set of programs that summarize data with histograms and other graphics, calculate measures of spatial continuity, provide smooth least-squares-type maps, and perform stochastic spatial simulation.
Book
Simulated Annealing: Theory and Applications
TL;DR: Performance of the simulated annealing algorithm and the relation with statistical physics and asymptotic convergence results are presented.
Journal ArticleDOI
GSLIB: Geostatistical Software Library and User's Guide
TL;DR: GSLIB as discussed by the authors is a source code that can be used as a starting point for custom programs, advanced applications and research, and is addressed to the reasonably advanced practitioner or researcher who need powerful, flexible and documented programs that are not confined to user-friendly menus.
Journal ArticleDOI
Transition probability-based indicator geostatistics
Steven F. Carle,Graham E. Fogg +1 more
TL;DR: In this paper, a transition probability model for indicator variables is proposed, which is more interpretable compared with the indicator (cross-) variogram or indicator covariance model, and the transition probability elucidates order relation conditions and readily formulates the indicator kriging equations.
Journal ArticleDOI
Practical considerations in the application of simulated annealing to stochastic simulation
TL;DR: This paper describes the basic algorithm and addresses a number of practical questions, including what perturbation mechanism should be employed in the annealing simulation and how are multiple components weighted in the global objective function.