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Incorporating Geostatistical Constraints in Nonlinear Inverse Problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Johnson, Travis C. Routh, Partha S. Clemo, Tom Barrash, Warren Clement, William P. |
| Copyright Year | 2007 |
| Abstract | [1] In this paper we present a method of incorporating semivariogram constraints into nonlinear inversion problems. That is, we describe a method of sampling the space of inverse solutions that honor a specified semivariogram or set of semivariograms and also explain a set of state data. The approach can be considered a method of conditional simulation where model conditioning is based upon state data (as opposed to parameter data). The difference between this approach and other simulation approaches is that the simulation is posed as an optimization problem with the joint objective of matching the semivariograms and honoring the state data. This approach requires computing the sensitivities of the semivariograms with respect to the distributed parameter. We derive these sensitivities and find that they are efficient to compute and store, making the method tenable for large models. We demonstrate the method with one synthetic and one field example using radar velocity tomography, where radar velocity is related through a petrophysical transform to saturated porosity. We address biasing issues and demonstrate ensemble generation and the resulting resolution and uncertainty analysis using ensemble statistics. We also demonstrate how the method can be applied to existing deterministic inversion codes with the field example. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://cgiss.boisestate.edu/pubs/BHRS/Peer-reviewed/Johnson_TC_2007_Water_Resource_Research_v43.pdf |
| Alternate Webpage(s) | http://www.geo.umass.edu/faculty/wclement/Papers/Johnson_wrr_2007.pdf |
| Alternate Webpage(s) | http://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=1028&context=cgiss_facpubs |
| Alternate Webpage(s) | https://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=1028&context=cgiss_facpubs |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Biasing Code Computation (action) Conditioning (Psychology) Estimated Mathematical optimization Nonlinear programming Nonlinear system Optimization problem Population Parameter Predictive modelling Probability Radar Sampling (signal processing) Sampling - Surgical action Simulation Solutions Spatial variability Subsurface (software) Synthetic intelligence Tomography Velocity (software development) |
| Content Type | Text |
| Resource Type | Article |
