Global optimization methods in geophysical inversion / / Mrinal K. Sen, University of Texas, Austin, USA and Paul L. Stoffa, The University of Texas, Austin, USA [[electronic resource]] |
Autore | Sen Mrinal K. |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 289 pages) : digital, PDF file(s) |
Disciplina | 550.1/515357 |
Soggetto topico |
Geological modeling
Geophysics - Mathematical models Inverse problems (Differential equations) Mathematical optimization |
ISBN |
1-107-23477-8
1-139-61021-X 1-139-60864-9 1-139-62509-8 0-511-99757-4 1-139-61579-3 1-139-61207-7 1-299-25764-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Global Optimization Methods in Geophysical Inversion; Title; Copyright; Contents; Preface to the first edition (1995); Preface to the second edition (2013); 1 Preliminary statistics; 1.1 Random variables; 1.2 Random numbers; 1.3 Probability; 1.4 Probability distribution, distribution function, and density function; 1.4.1 Examples of distribution and density functions; 1.4.1.1 Normal or Gaussian distribution; 1.4.1.2 Cauchy distribution; 1.4.1.3 Gibbs' distribution; 1.5 Joint and marginal probability distributions; 1.6 Mathematical expectation, moments, variances, and covariances
1.7 Conditional probability and Bayes' rule1.8 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; 2 Direct, linear, and iterative-linear inverse methods; 2.1 Direct inversion methods; 2.2 Model-based inversion methods; 2.2.1 Linear/linearized methods; 2.2.2 Iterative-linear or gradient-based methods; 2.2.3 Enumerative or grid-search method; 2.2.4 Monte Carlo method; 2.2.4.1 Directed Monte Carlo methods; 2.3 Linear/linearized inverse methods 2.3.1 Existence2.3.2 Uniqueness; 2.3.3 Stability; 2.3.4 Robustness; 2.4 Solution of linear inverse problems; 2.4.1 Method of least squares; 2.4.1.1 Maximum-likelihood methods; 2.4.2 Stability and uniqueness - singular-value-decomposition (SVD) analysis; 2.4.3 Methods of constraining the solution; 2.4.3.1 Positivity constraint; 2.4.3.2 Prior model; 2.4.3.3 Model smoothness; 2.4.4 Uncertainty estimates; 2.4.5 Regularization; 2.4.5.1 Method for choosing the regularization parameter; The L-curve; Generalized cross-validation (GCV) method; Morozov's discrepancy principle Engl's modified discrepancy principle2.4.6 General Lp Norm; 2.4.6.1 IRLS; 2.4.6.2 Total variation regularization (TVR); 2.5 Iterative methods for non-linear problems: local optimization; 2.5.1 Quadratic function; 2.5.2 Newton's method; 2.5.3 Steepest descent; 2.5.4 Conjugate gradient; 2.5.5 Gauss-Newton; 2.6 Solution using probabilistic formulation; 2.6.1 Linear case; 2.6.2 Case of weak non-linearity; 2.6.3 Quasi-linear case; 2.6.4 Non-linear case; 2.7 Summary; 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 methods4 Simulated annealing methods; 4.1 Metropolis algorithm; 4.1.1 Mathematical model and asymptotic convergence; 4.1.1.1 Irreducibility; 4.1.1.2 Aperiodicity; 4.1.1.3 Limiting probability; 4.2 Heat bath algorithm; 4.2.1 Mathematical model and asymptotic convergence; 4.2.1.1 Transition probability matrix; 4.2.1.2 Irreducibility; 4.2.1.3 Aperiodicity; 4.2.1.4 Limiting probability; 4.3 Simulated annealing without rejected moves; 4.4 Fast simulated annealing (FSA); 4.5 Very fast simulated reannealing; 4.6 Mean field annealing; 4.6.1 Neurons and neural networks 4.6.2 Hopfield neural networks |
Record Nr. | UNINA-9910465378203321 |
Sen Mrinal K.
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||
Cambridge : , : Cambridge University Press, , 2013 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Global optimization methods in geophysical inversion / / Mrinal K. Sen, University of Texas, Austin, USA and Paul L. Stoffa, The University of Texas, Austin, USA [[electronic resource]] |
Autore | Sen Mrinal K. |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 289 pages) : digital, PDF file(s) |
Disciplina | 550.1/515357 |
Soggetto topico |
Geological modeling
Geophysics - Mathematical models Inverse problems (Differential equations) Mathematical optimization |
ISBN |
1-108-44584-5
1-107-23477-8 1-139-61021-X 1-139-60864-9 1-139-62509-8 0-511-99757-4 1-139-61579-3 1-139-61207-7 1-299-25764-X |
Classificazione | SCI032000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Global Optimization Methods in Geophysical Inversion; Title; Copyright; Contents; Preface to the first edition (1995); Preface to the second edition (2013); 1 Preliminary statistics; 1.1 Random variables; 1.2 Random numbers; 1.3 Probability; 1.4 Probability distribution, distribution function, and density function; 1.4.1 Examples of distribution and density functions; 1.4.1.1 Normal or Gaussian distribution; 1.4.1.2 Cauchy distribution; 1.4.1.3 Gibbs' distribution; 1.5 Joint and marginal probability distributions; 1.6 Mathematical expectation, moments, variances, and covariances
1.7 Conditional probability and Bayes' rule1.8 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; 2 Direct, linear, and iterative-linear inverse methods; 2.1 Direct inversion methods; 2.2 Model-based inversion methods; 2.2.1 Linear/linearized methods; 2.2.2 Iterative-linear or gradient-based methods; 2.2.3 Enumerative or grid-search method; 2.2.4 Monte Carlo method; 2.2.4.1 Directed Monte Carlo methods; 2.3 Linear/linearized inverse methods 2.3.1 Existence2.3.2 Uniqueness; 2.3.3 Stability; 2.3.4 Robustness; 2.4 Solution of linear inverse problems; 2.4.1 Method of least squares; 2.4.1.1 Maximum-likelihood methods; 2.4.2 Stability and uniqueness - singular-value-decomposition (SVD) analysis; 2.4.3 Methods of constraining the solution; 2.4.3.1 Positivity constraint; 2.4.3.2 Prior model; 2.4.3.3 Model smoothness; 2.4.4 Uncertainty estimates; 2.4.5 Regularization; 2.4.5.1 Method for choosing the regularization parameter; The L-curve; Generalized cross-validation (GCV) method; Morozov's discrepancy principle Engl's modified discrepancy principle2.4.6 General Lp Norm; 2.4.6.1 IRLS; 2.4.6.2 Total variation regularization (TVR); 2.5 Iterative methods for non-linear problems: local optimization; 2.5.1 Quadratic function; 2.5.2 Newton's method; 2.5.3 Steepest descent; 2.5.4 Conjugate gradient; 2.5.5 Gauss-Newton; 2.6 Solution using probabilistic formulation; 2.6.1 Linear case; 2.6.2 Case of weak non-linearity; 2.6.3 Quasi-linear case; 2.6.4 Non-linear case; 2.7 Summary; 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 methods4 Simulated annealing methods; 4.1 Metropolis algorithm; 4.1.1 Mathematical model and asymptotic convergence; 4.1.1.1 Irreducibility; 4.1.1.2 Aperiodicity; 4.1.1.3 Limiting probability; 4.2 Heat bath algorithm; 4.2.1 Mathematical model and asymptotic convergence; 4.2.1.1 Transition probability matrix; 4.2.1.2 Irreducibility; 4.2.1.3 Aperiodicity; 4.2.1.4 Limiting probability; 4.3 Simulated annealing without rejected moves; 4.4 Fast simulated annealing (FSA); 4.5 Very fast simulated reannealing; 4.6 Mean field annealing; 4.6.1 Neurons and neural networks 4.6.2 Hopfield neural networks |
Record Nr. | UNINA-9910792070103321 |
Sen Mrinal K.
![]() |
||
Cambridge : , : Cambridge University Press, , 2013 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Global optimization methods in geophysical inversion / / Mrinal K. Sen, University of Texas, Austin, USA and Paul L. Stoffa, The University of Texas, Austin, USA [[electronic resource]] |
Autore | Sen Mrinal K. |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 289 pages) : digital, PDF file(s) |
Disciplina | 550.1/515357 |
Soggetto topico |
Geological modeling
Geophysics - Mathematical models Inverse problems (Differential equations) Mathematical optimization |
ISBN |
1-108-44584-5
1-107-23477-8 1-139-61021-X 1-139-60864-9 1-139-62509-8 0-511-99757-4 1-139-61579-3 1-139-61207-7 1-299-25764-X |
Classificazione | SCI032000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Global Optimization Methods in Geophysical Inversion; Title; Copyright; Contents; Preface to the first edition (1995); Preface to the second edition (2013); 1 Preliminary statistics; 1.1 Random variables; 1.2 Random numbers; 1.3 Probability; 1.4 Probability distribution, distribution function, and density function; 1.4.1 Examples of distribution and density functions; 1.4.1.1 Normal or Gaussian distribution; 1.4.1.2 Cauchy distribution; 1.4.1.3 Gibbs' distribution; 1.5 Joint and marginal probability distributions; 1.6 Mathematical expectation, moments, variances, and covariances
1.7 Conditional probability and Bayes' rule1.8 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; 2 Direct, linear, and iterative-linear inverse methods; 2.1 Direct inversion methods; 2.2 Model-based inversion methods; 2.2.1 Linear/linearized methods; 2.2.2 Iterative-linear or gradient-based methods; 2.2.3 Enumerative or grid-search method; 2.2.4 Monte Carlo method; 2.2.4.1 Directed Monte Carlo methods; 2.3 Linear/linearized inverse methods 2.3.1 Existence2.3.2 Uniqueness; 2.3.3 Stability; 2.3.4 Robustness; 2.4 Solution of linear inverse problems; 2.4.1 Method of least squares; 2.4.1.1 Maximum-likelihood methods; 2.4.2 Stability and uniqueness - singular-value-decomposition (SVD) analysis; 2.4.3 Methods of constraining the solution; 2.4.3.1 Positivity constraint; 2.4.3.2 Prior model; 2.4.3.3 Model smoothness; 2.4.4 Uncertainty estimates; 2.4.5 Regularization; 2.4.5.1 Method for choosing the regularization parameter; The L-curve; Generalized cross-validation (GCV) method; Morozov's discrepancy principle Engl's modified discrepancy principle2.4.6 General Lp Norm; 2.4.6.1 IRLS; 2.4.6.2 Total variation regularization (TVR); 2.5 Iterative methods for non-linear problems: local optimization; 2.5.1 Quadratic function; 2.5.2 Newton's method; 2.5.3 Steepest descent; 2.5.4 Conjugate gradient; 2.5.5 Gauss-Newton; 2.6 Solution using probabilistic formulation; 2.6.1 Linear case; 2.6.2 Case of weak non-linearity; 2.6.3 Quasi-linear case; 2.6.4 Non-linear case; 2.7 Summary; 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 methods4 Simulated annealing methods; 4.1 Metropolis algorithm; 4.1.1 Mathematical model and asymptotic convergence; 4.1.1.1 Irreducibility; 4.1.1.2 Aperiodicity; 4.1.1.3 Limiting probability; 4.2 Heat bath algorithm; 4.2.1 Mathematical model and asymptotic convergence; 4.2.1.1 Transition probability matrix; 4.2.1.2 Irreducibility; 4.2.1.3 Aperiodicity; 4.2.1.4 Limiting probability; 4.3 Simulated annealing without rejected moves; 4.4 Fast simulated annealing (FSA); 4.5 Very fast simulated reannealing; 4.6 Mean field annealing; 4.6.1 Neurons and neural networks 4.6.2 Hopfield neural networks |
Record Nr. | UNINA-9910822272103321 |
Sen Mrinal K.
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||
Cambridge : , : Cambridge University Press, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Physical and mathematical modeling of earth and environment processes : proceedings of 7th International Conference, Moscow 2021 / / V. I. Karev |
Autore | Karev V. I. |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
Descrizione fisica | 1 online resource (332 pages) |
Disciplina | 550.151 |
Collana | Springer Proceedings in Earth and Environmental Sciences |
Soggetto topico |
Earth sciences - Mathematical models
Geophysics - Mathematical models |
ISBN |
9783030995041
9783030995034 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910568279003321 |
Karev V. I.
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||
Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Pore-scale geochemical processes / / editors, Carl I. Steefel, Lawrence Berkeley National Laboratory, U.S.A., Simon Emmanuel, The Hebrew University of Jerusalem, Israel, Lawrence M. Anovitz, Oak Ridge National Laboratory, U.S.A |
Pubbl/distr/stampa | Chantilly, Virginia : , : Mineralogical Society of America, , [2015] |
Descrizione fisica | 1 online resource (xiv, 481 pages) : illustrations |
Disciplina | 551.9 |
Collana | Reviews in mineralogy and geochemistry |
Soggetto topico |
Geochemistry
Mineralogy Mineralogy - Mathematical models Geophysics - Mathematical models Transport theory Porous materials Porosity |
Soggetto genere / forma | Electronic books. |
ISBN | 1-5015-0207-7 |
Classificazione | RB 10115 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Table of Contents -- 1. Transient Porosity Resulting from Fluid-Mineral Interaction and its Consequences / Putnis, Andrew -- 2. Pore-Scale Controls on Reaction-Driven Fracturing / Røyne, Anja / Jamtveit, Bjørn -- 3. Effects of Coupled Chemo-Mechanical Processes on the Evolution of Pore-Size Distributions in Geological Media / Emmanuel, Simon / Anovitz, Lawrence M. / Day-Stirrat, Ruarri J. -- 4. Characterization and Analysis of Porosity and Pore Structures / Anovitz, Lawrence M. / Cole, David R. -- 5. Precipitation in Pores: A Geochemical Frontier / Stack, Andrew G. -- 6. Pore-Scale Process Coupling and Effective Surface Reaction Rates in Heterogeneous Subsurface Materials / Liu, Chongxuan / Liu, Yuanyuan / Kerisit, Sebastien / Zachara, John -- 7. Micro-Continuum Approaches for Modeling Pore-Scale Geochemical Processes / Steefel, Carl I. / Beckingham, Lauren E. / Landrot, Gautier -- 8. Resolving Time-dependent Evolution of Pore-Scale Structure, Permeability and Reactivity using X-ray Microtomography / Noiriel, Catherine -- 9. Ionic Transport in Nano-Porous Clays with Consideration of Electrostatic Effects / Tournassat, Christophe / Steefel, Carl I -- 10. How Porosity Increases During Incipient Weathering of Crystalline Silicate Rocks / Navarre-Sitchler, Alexis / Brantley, Susan L. / Rother, Gernot -- 11. Isotopic Gradients Across Fluid-Mineral Boundaries / Druhan, Jennifer L. / Brown, Shaun T. / Huber, Christian -- 12. Lattice Boltzmann-Based Approaches for Pore-Scale Reactive Transport / Yoon, Hongkyu / Kang, Qinjun / Valocchi, Albert J. -- 13. Mesoscale and Hybrid Models of Fluid Flow and Solute Transport / Mehmani, Yashar / Balhoff, Matthew T. -- 14. Reactive Interfaces in Direct Numerical Simulation of Pore-Scale Processes / Molins, Sergi |
Record Nr. | UNINA-9910258752803321 |
Chantilly, Virginia : , : Mineralogical Society of America, , [2015] | ||
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Lo trovi qui: Univ. Federico II | ||
|
Pore-scale geochemical processes / / editors, Carl I. Steefel, Lawrence Berkeley National Laboratory, U.S.A., Simon Emmanuel, The Hebrew University of Jerusalem, Israel, Lawrence M. Anovitz, Oak Ridge National Laboratory, U.S.A |
Pubbl/distr/stampa | Chantilly, Virginia : , : Mineralogical Society of America, , [2015] |
Descrizione fisica | 1 online resource (xiv, 481 pages) : illustrations |
Disciplina | 551.9 |
Collana | Reviews in mineralogy and geochemistry |
Soggetto topico |
Geochemistry
Mineralogy Mineralogy - Mathematical models Geophysics - Mathematical models Transport theory Porous materials Porosity |
Soggetto genere / forma | Electronic books. |
ISBN | 1-5015-0207-7 |
Classificazione | RB 10115 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Table of Contents -- 1. Transient Porosity Resulting from Fluid-Mineral Interaction and its Consequences / Putnis, Andrew -- 2. Pore-Scale Controls on Reaction-Driven Fracturing / Røyne, Anja / Jamtveit, Bjørn -- 3. Effects of Coupled Chemo-Mechanical Processes on the Evolution of Pore-Size Distributions in Geological Media / Emmanuel, Simon / Anovitz, Lawrence M. / Day-Stirrat, Ruarri J. -- 4. Characterization and Analysis of Porosity and Pore Structures / Anovitz, Lawrence M. / Cole, David R. -- 5. Precipitation in Pores: A Geochemical Frontier / Stack, Andrew G. -- 6. Pore-Scale Process Coupling and Effective Surface Reaction Rates in Heterogeneous Subsurface Materials / Liu, Chongxuan / Liu, Yuanyuan / Kerisit, Sebastien / Zachara, John -- 7. Micro-Continuum Approaches for Modeling Pore-Scale Geochemical Processes / Steefel, Carl I. / Beckingham, Lauren E. / Landrot, Gautier -- 8. Resolving Time-dependent Evolution of Pore-Scale Structure, Permeability and Reactivity using X-ray Microtomography / Noiriel, Catherine -- 9. Ionic Transport in Nano-Porous Clays with Consideration of Electrostatic Effects / Tournassat, Christophe / Steefel, Carl I -- 10. How Porosity Increases During Incipient Weathering of Crystalline Silicate Rocks / Navarre-Sitchler, Alexis / Brantley, Susan L. / Rother, Gernot -- 11. Isotopic Gradients Across Fluid-Mineral Boundaries / Druhan, Jennifer L. / Brown, Shaun T. / Huber, Christian -- 12. Lattice Boltzmann-Based Approaches for Pore-Scale Reactive Transport / Yoon, Hongkyu / Kang, Qinjun / Valocchi, Albert J. -- 13. Mesoscale and Hybrid Models of Fluid Flow and Solute Transport / Mehmani, Yashar / Balhoff, Matthew T. -- 14. Reactive Interfaces in Direct Numerical Simulation of Pore-Scale Processes / Molins, Sergi |
Record Nr. | UNISA-996309146803316 |
Chantilly, Virginia : , : Mineralogical Society of America, , [2015] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Relating geophysical structures and processes : the Jeffreys volume |
Pubbl/distr/stampa | [Place of publication not identified], : American Geophysical Union, 1993 |
Disciplina | 550/.1/5118 |
Collana | IUGG Relating geophysical structures and processes |
Soggetto topico |
Earth sciences - Mathematical models
Geophysics - Mathematical models Geology Earth & Environmental Sciences Geology - General |
ISBN | 1-118-66912-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910130937403321 |
[Place of publication not identified], : American Geophysical Union, 1993 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Relating geophysical structures and processes : the Jeffreys volume |
Pubbl/distr/stampa | [Place of publication not identified], : American Geophysical Union, 1993 |
Disciplina | 550/.1/5118 |
Collana | IUGG Relating geophysical structures and processes |
Soggetto topico |
Earth sciences - Mathematical models
Geophysics - Mathematical models Geology Earth & Environmental Sciences Geology - General |
ISBN | 1-118-66912-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996202742703316 |
[Place of publication not identified], : American Geophysical Union, 1993 | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
Relating geophysical structures and processes : the Jeffreys volume |
Pubbl/distr/stampa | [Place of publication not identified], : American Geophysical Union, 1993 |
Disciplina | 550/.1/5118 |
Collana | IUGG Relating geophysical structures and processes |
Soggetto topico |
Earth sciences - Mathematical models
Geophysics - Mathematical models Geology Earth & Environmental Sciences Geology - General |
ISBN | 1-118-66912-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910829845603321 |
[Place of publication not identified], : American Geophysical Union, 1993 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Relating geophysical structures and processes : the Jeffreys volume |
Pubbl/distr/stampa | [Place of publication not identified], : American Geophysical Union, 1993 |
Disciplina | 550/.1/5118 |
Collana | IUGG Relating geophysical structures and processes |
Soggetto topico |
Earth sciences - Mathematical models
Geophysics - Mathematical models Geology Earth & Environmental Sciences Geology - General |
ISBN | 1-118-66912-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910876999203321 |
[Place of publication not identified], : American Geophysical Union, 1993 | ||
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Lo trovi qui: Univ. Federico II | ||
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