Title
Stochastic simulation by image quilting of process-based geological models.
Abstract
Process-based modeling offers a way to represent realistic geological heterogeneity in subsurface models. The main limitation lies in conditioning such models to data. Multiple-point geostatistics can use these process-based models as training images and address the data conditioning problem. In this work, we further develop image quilting as a method for 3D stochastic simulation capable of mimicking the realism of process-based geological models with minimal modeling effort (i.e. parameter tuning) and at the same time condition them to a variety of data. In particular, we develop a new probabilistic data aggregation method for image quilting that bypasses traditional ad-hoc weighting of auxiliary variables. In addition, we propose a novel criterion for template design in image quilting that generalizes the entropy plot for continuous training images. The criterion is based on the new concept of voxel reuse—a stochastic and quilting-aware function of the training image. We compare our proposed method with other established simulation methods on a set of process-based training images of varying complexity, including a real-case example of stochastic simulation of the buried-valley groundwater system in Denmark.
Year
DOI
Venue
2017
10.1016/j.cageo.2017.05.012
Computers & Geosciences
Keywords
Field
DocType
Voxel reuse,Shannon entropy,Relaxation,Tau model,Multiple-point statistics,FFT,GPGPU
Stochastic simulation,Data mining,Weighting,Computer science,Fast Fourier transform,General-purpose computing on graphics processing units,Probabilistic logic,Statistics,Data aggregator,Abstract process,Entropy (information theory)
Journal
Volume
ISSN
Citations 
106
0098-3004
0
PageRank 
References 
Authors
0.34
9
4
Name
Order
Citations
PageRank
Júlio Hoffimann100.34
Céline Scheidt201.01
Adrian Barfod300.34
Jef Caers4115.26