Keywords:
Geological modeling.
;
Electronic books.
Type of Medium:
Online Resource
Pages:
1 online resource (294 pages)
Edition:
1st ed.
ISBN:
9780080532561
Series Statement:
Issn Series ; v.Volume 4
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=318223
DDC:
550.113
Language:
English
Note:
Front Cover -- Global Optimization Methods in Geophysical Inversion -- Copyright Page -- Contents -- Preface -- Chapter 1. Preliminary Statistics -- 1.1. Random variables -- 1.2. Random numbers -- 1.3. Probability -- 1.4. Probability distribution, distribution function and density function -- 1.5. Joint and marginal probability distributions -- 1.6. Mathematical expectation, moments, variances, and covariances -- 1.7. Conditional probability -- 1.8. Monte Carlo integration -- 1.9. Importance sampling -- 1.10. Stochastic processes -- 1.11. Markov chains -- 1.12. Homogeneous, inhomogeneous, irreducible and aperiodic Markov chains -- 1.13. The limiting probability -- Chapter 2. Direct, Linear and Iterative-linear Inverse Methods -- 2.1. Direct inversion methods -- 2.2. Model based inversion methods -- 2.3. Linear/linearized inverse methods -- 2.4. Iterative linear methods for quasi-linear problems -- 2.5. Bayesian formulation -- 2.6. Solution using probabilistic formulation -- 2.7. Summary -- Chapter 3. Monte Carlo Methods -- 3.1. Enumerative or grid search techniques -- 3.2. Monte Carlo inversion -- 3.3. Hybrid Monte Carlo-linear inversion -- 3.4. Directed Monte Carlo methods -- Chapter 4. Simulated Annealing Methods -- 4.1. Metropolis algorithm -- 4.2. Heat bath algorithm -- 4.3. Simulated annealing without rejected moves -- 4.4. Fast simulated annealing -- 4.5. Very fast simulated reannealing -- 4.6. Mean -- 4.7. Using SA in geophysical inversion -- 4.8. Summary -- Chapter 5. Genetic Algorithms -- 5.1. A classical GA -- 5.2. Schemata and the fundamental theorem of genetic algorithms -- 5.3. Problems -- 5.4. Combining elements of SA into a new GA -- 5.5. A mathematical model of a GA -- 5.6. Multimodal fitness functions, genetic drift -- 5.7. Uncertainty estimates -- 5.8. Evolutionary programming -- 5.9. Summary.
,
Chapter 6. Geophysical Applications of SA and G A -- 6.1. 1-D Seismic waveform inversion -- 6.2. Pre-stack migration velocity estimation -- 6.3. Inversion of resistivity sounding data for 1-D earth models -- 6.4. Inversion of resistivity profiling data for 2-D earth models -- 6.5. Inversion of magnetotelluric sounding data for 1-D earth models -- 6.6. Stochastic reservoir modeling -- 6.7. Seismic deconvolution by mean field annealing and Hopfield network -- Chapter 7. Uncertainty Estimation -- 7.1. Methods of Numerical Integration -- 7.2. Simulated annealing: The Gibbs' sampler -- 7.3. Genetic algorithm: The parallel Gibbs' sampler -- 7.4. Numerical examples -- 7.5. Summary -- References -- Subject Index.
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