Fast Probability Field Simulation with FFT
Abstract/Contents
- Abstract
- Probability field simulation is a general methodology for producing equiprobable models of rock properties that honor the available data and that honor the distribution and spatial continuity of the property being modelled. The advantages of the pfield approach require the simulation of many realizations of the unconditional field with a specified covariance. A review of the methods used for nonconditional simulation is provided. Simulation in the spectral domain in one, two and three dimensions is shown to be one of the most efficient techniques of nonconditional simulation. The main contribution is the use of the Fast Fourier Transform (FFT) as a generator of random finite multidimensional sequences with imposed covariances. The FFT can also be used for numerical calculation of the spectral density function when an analytical expression is not available. Examples of simulation of nested structures, nugget effect, zonal and geometric anisotropy are shown. Computation times for unconditional and conditional pfield simulations are compared with sequential Gaussian simulation. All steps taken to implement the simulation in the spectral domain are discussed.
Description
| Type of resource | text |
|---|---|
| Date created | September 1996 |
Creators/Contributors
| Author | Shmaryan, Leonid |
|---|---|
| Primary advisor | Hewett, Thomas |
| Degree granting institution | Stanford University, Department of Petroleum Engineering |
Subjects
| Subject | School of Earth Energy & Environmental Sciences |
|---|---|
| Genre | Thesis |
Bibliographic information
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- User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.
Preferred citation
- Preferred Citation
- Shmaryan, Leonid. (1996). Fast Probability Field Simulation with FFT. Stanford Digital Repository. Available at: https://purl.stanford.edu/tw895px4310
Collection
Master's Theses, Doerr School of Sustainability
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