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Svug models J. W. Jennings Introduction to Data Processing Flows with Scons and Geostatistics with Madagascar Jim Jennings and Sergey Fomel Carbonate Reservoir Characterization Research Laboratory Bureau of Economic Geology Jackson School of Geosciences The University of Texas at Austin April 20, 2007 January 2, 2019
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Introduction to data processing flows with Scons two simple examples
Svug models Outline J. W. Jennings Introduction to data processing flows with Scons two simple examples Variograms with Madagascar what is a variogram? how to compute a variogram with FFTs implementation in Madagascar examples Random Fields with Madagascar what is stochastic simulation? how to make random field with FFTs implementation in Madagascar examples 2 J. W. Jennings Geostatistics with Madagascar January 2, 2019
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Variogram Array Svug models J. W. Jennings January 2, 2019 8
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Variogram Computation with FFTs
Svug models Variogram Computation with FFTs J. W. Jennings The trick is to think of an FFT not as an approximation to the Fourier integral transform, but as a tool for exact and efficient computation of the discrete product sum: … for all possible values of the discrete lag vector h. 10 J. W. Jennings Geostatistics with Madagascar January 2, 2019
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Variogram Computation with FFTs
Svug models Variogram Computation with FFTs J. W. Jennings Then, expand the variogram definition into a collection of product sums: 11 J. W. Jennings Geostatistics with Madagascar January 2, 2019
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Variogram Computation with FFTs
Svug models Variogram Computation with FFTs J. W. Jennings Then, expand the variogram definition into a collection of product sums: 13 J. W. Jennings Geostatistics with Madagascar January 2, 2019
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Variogram Computation with FFTs
Svug models Variogram Computation with FFTs J. W. Jennings … that can be computed efficiently with FFTs: 14 J. W. Jennings Geostatistics with Madagascar January 2, 2019
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Variogram Computation with FFTs
Svug models Variogram Computation with FFTs J. W. Jennings … that can be computed efficiently with FFTs: Marcotte, D., 1996, Fast variogram computation with FFT, Computers & Geosciences, v 22, n 10, pp. 1175–1186. 15 J. W. Jennings Geostatistics with Madagascar January 2, 2019
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Implementation in Madagascar
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Implementation in Madagascar
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Implementation in Madagascar
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Example Application Svug models J. W. Jennings January 2, 2019 19
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Data Array Svug models J. W. Jennings January 2, 2019 20
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Indicator Array Svug models J. W. Jennings January 2, 2019 21
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Pair-Count Array Svug models J. W. Jennings January 2, 2019 22
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Variogram Array Svug models J. W. Jennings January 2, 2019 23
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Data Array Svug models J. W. Jennings January 2, 2019 24
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Data Array, Matrix Only Svug models J. W. Jennings January 2, 2019 25
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Indicator Array, Matrix Only
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Pair-Count Array, Matrix Only
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Variogram Array, Matrix Only
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Variogram Array Svug models J. W. Jennings January 2, 2019 29
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Stochastic Simulation
Svug models Stochastic Simulation J. W. Jennings Unconditional stochastic simulation in geostatistics is the process of generating a random field with a specified variogram model. Unconditional stochastic simulation is like variography in reverse. Conditional stochastic simulation makes random fields that have a specified variogram and have specified values at given control points. 30 J. W. Jennings Geostatistics with Madagascar January 2, 2019
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Stochastic Gaussian Simulation
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Stochastic Gaussian Simulation with FFTs
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Implementation in Madagascar
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Implementation in Madagascar
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Example Application Svug models J. W. Jennings January 2, 2019 35
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Example Application Svug models J. W. Jennings January 2, 2019 36
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1D Random Field Svug models J. W. Jennings January 2, 2019 37
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2D Random Field Svug models J. W. Jennings January 2, 2019 38
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3D Random Field Svug models J. W. Jennings January 2, 2019 39
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Deep-Water Channels with Background Noise
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