The Omega Theory: A New Physics of Earthquakes
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
San Diego
Elsevier
2018
|
| Schriftenreihe: | Developments in Structural Geology and Tectonics
Volume 2 |
| Links: | https://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=1735507&site=ehost-live https://ebookcentral.proquest.com/lib/gbv/detail.action?docID=5394359 |
| Abstract: | Front Cover -- The Omega-Theory: A New Physics of Earthquakes -- Copyright -- Contents -- Summary of the Omega-Theory -- Chapter 1: Introduction -- Synchronizations of Seismic Chaos and Predictability of Earthquakes -- Chaotic Synchronizations in Seismology -- Seismic Oscillators -- New Paradigm in Seismology and Structural Geology: The Omega-Theory -- References -- Further Reading -- Part I: Cosserat Continuum Theory of Faulting -- Chapter 2: Cosserat Continuum -- Notation -- Tensor Algebra -- Tensor Analysis -- Kinematics of the Cosserat Continuum -- Deviatoric and Spherical Cosserat Strain and Torsion-Curvature -- The Slip Direction Along the Faults -- The Method of Virtual Power -- Hyperelasticity -- Deviatoric and Spherical Stress -- Linear Case: Isotropic Elasticity -- J2 Plasticity Model -- References -- Further Reading -- Chapter 3: The Multiple-Slip Mechanism of Plastic Cosserat Deformation -- Kinematics of Elastoplastic Cosserat Continuum -- Interpretation of the Faulting-Related Cosserat Strain -- References -- Chapter 4: Stress Along the Faults -- Mohr Representation of Stress -- Fault Reactivation in the Cosserat Continuum: Amontons's Law -- References -- Chapter 5: Wedge Faulting: The L2 Kinematics -- Equation of the Wedge Faulting -- The L2 Kinematics -- Geometry of the Interacting Wedge Systems -- Plain Strain and Tectonic Wedges -- The Necessity of the Residual Faults -- The State of Stress Along Tectonic Wedges -- The effect of the stress asymmetry and the couple-stresses -- References -- Further Reading -- Chapter 6: Parallel Fault and Parallel Wedge Interactions: The Gamma-Scheme -- Three Possible Types of Parallel Fault Interaction -- Parallel Wedge Interaction -- Stress Permutations and Parallel Wedge Interactions -- Stress Permutations and the Homogeneous Cosserat Strain Approximation -- The Gamma-Scheme Which Nodal Plane is the Fault Plane? -- The Ghost Wedges and the Real Wedges -- References -- Chapter 7: Båth's Law and the Cosserat Extension of the Reid Rebound Model -- Introduction -- Simple Models of Faults -- Derivation of Båth's Law -- Temporal Extension of Båth's Law -- References -- Part II: Introduction to the Omega-Theory -- Chapter 8: Omega-Sequences -- Definition of the Omega-Sequences -- General Structure of the Omega-Sequences -- Constructing the Omega-Sequences -- Constant Strain Rate Model: The CSR Sequences -- Constant Velocity Model: The DSR and ISR Omega-Sequences -- Two Types of the RES -- Time Dependence of the Magnitudes -- Transitional Part of the Omega-Sequences -- Generalized Equations of the Omega-Sequences (GEOS) -- Numerical Tests -- Fibonacci Omega-Sequences -- Discussion and Conclusions -- References -- Chapter 9: Omega-Cells: ''Seismic Oscillators'' -- External Structure -- Internal Structure: Omega-Configurations -- Geometric Omega-Configuration -- Fibonacci Omega-Configuration -- Central Omega-Configuration -- Exact Notation for the Omega-Cells -- Description of Numerical Tests -- Sorting the Earthquakes and Nodal Planes -- Identifying the Omega-Sequences -- Analysis of the CSV Model for Båth's Law -- Reconstructing the Internal Structure of the Omega-Cells: Wedge-Profiling Technique (WPT) -- Results -- OmegaC257 and OmegaC234567 Sequences: The OmegaC234567-Cell -- Omega1P4-Sequence: The Omega1P4-Cell -- Proving the CSV Model for Båth's Law -- Discussion -- Omega-Cells as Cellular Automata -- Omega-Sequences and the B-Signals -- Omega-Cells as Octahedral Bodies -- References -- Chapter 10: Omori's Law -- Omori's Law and the Omega-Sequences -- Results of the Numerical Test -- Derivation of Omori's Law -- Can Earthquakes be Predicted? -- References -- Chapter 11: Felzer-Brodskys Law Derivation of the Felzer-Brodsky Law -- Discussion -- Why Foreshocks? -- What is Cascade Triggering? -- The Full Form of Felzer-Brodskys Law -- References -- Chapter 12: Strain Waves and Conservation Laws -- Two Bi-Magnitude Signals and the Omega-Cells -- The Kobayashi Equation -- Strain Waves: Velocities of the Seismic Migration -- The CSR Strain Waves -- The CSV Strain Waves -- Conservation Laws -- The First Conservation Law -- The Second Conservation Law -- The Third Conservation Law: The Omega Planes -- The Fourth Conservation Law -- The Meaning of the Static Stress Drop -- Discussion: Dynamic Versus Kinematic Approaches -- Sine-Gordon Equation -- Solutions of the Sine-Gordon Equation -- Forward and Backward Migrations -- References -- Chapter 13: Phase Transitions -- Earth's Crust as a Two-Phases Cosserat Material -- Velocity Transference -- The System of Equations -- Global Solution: The CSR Solution -- Local Solution -- General Solution -- Vikulin's Scaling Equations: Type 1 Magnitude Shift -- Vikulin's Conservation Law -- Scaling Laws for the Recurrence Time -- Global Solution: The CSR Solution -- Local Solution -- General Solution -- Geometric Solution -- Type 2 Magnitude Shift -- Discussion and Conclusions -- References -- Chapter 14: Gutenberg-Richters Law -- Derivation of Gutenberg-Richters Law -- Discussion -- Gutenberg-Richters Law in the Omega-Theory -- Guglielmi's Equation -- References -- Chapter 15: What Causes Earthquakes? -- Defining the Problem -- Magnitude Restrictions -- B1=B2 Sequence Events/Earthquakes -- The General Mechanism of Earthquakes (GME) -- The Seismic Characteristic Length -- The CSV Cosserat Velocity Splitting: The Time Delay in Earthquakes -- Cosserat-Huygens Principle -- Seismic Generalization of Amontons's Law -- Stress and Couple-Stress Vectors on a Fault/Wedge |
| Umfang: | 1 Online-Ressource (572 pages) |
| ISBN: | 9780128145814 |
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| 490 | 1 | |a Developments in Structural Geology and Tectonics |v Volume 2 | |
| 520 | 3 | |a Front Cover -- The Omega-Theory: A New Physics of Earthquakes -- Copyright -- Contents -- Summary of the Omega-Theory -- Chapter 1: Introduction -- Synchronizations of Seismic Chaos and Predictability of Earthquakes -- Chaotic Synchronizations in Seismology -- Seismic Oscillators -- New Paradigm in Seismology and Structural Geology: The Omega-Theory -- References -- Further Reading -- Part I: Cosserat Continuum Theory of Faulting -- Chapter 2: Cosserat Continuum -- Notation -- Tensor Algebra -- Tensor Analysis -- Kinematics of the Cosserat Continuum -- Deviatoric and Spherical Cosserat Strain and Torsion-Curvature -- The Slip Direction Along the Faults -- The Method of Virtual Power -- Hyperelasticity -- Deviatoric and Spherical Stress -- Linear Case: Isotropic Elasticity -- J2 Plasticity Model -- References -- Further Reading -- Chapter 3: The Multiple-Slip Mechanism of Plastic Cosserat Deformation -- Kinematics of Elastoplastic Cosserat Continuum -- Interpretation of the Faulting-Related Cosserat Strain -- References -- Chapter 4: Stress Along the Faults -- Mohr Representation of Stress -- Fault Reactivation in the Cosserat Continuum: Amontons's Law -- References -- Chapter 5: Wedge Faulting: The L2 Kinematics -- Equation of the Wedge Faulting -- The L2 Kinematics -- Geometry of the Interacting Wedge Systems -- Plain Strain and Tectonic Wedges -- The Necessity of the Residual Faults -- The State of Stress Along Tectonic Wedges -- The effect of the stress asymmetry and the couple-stresses -- References -- Further Reading -- Chapter 6: Parallel Fault and Parallel Wedge Interactions: The Gamma-Scheme -- Three Possible Types of Parallel Fault Interaction -- Parallel Wedge Interaction -- Stress Permutations and Parallel Wedge Interactions -- Stress Permutations and the Homogeneous Cosserat Strain Approximation -- The Gamma-Scheme | |
| 520 | 3 | |a Which Nodal Plane is the Fault Plane? -- The Ghost Wedges and the Real Wedges -- References -- Chapter 7: Båth's Law and the Cosserat Extension of the Reid Rebound Model -- Introduction -- Simple Models of Faults -- Derivation of Båth's Law -- Temporal Extension of Båth's Law -- References -- Part II: Introduction to the Omega-Theory -- Chapter 8: Omega-Sequences -- Definition of the Omega-Sequences -- General Structure of the Omega-Sequences -- Constructing the Omega-Sequences -- Constant Strain Rate Model: The CSR Sequences -- Constant Velocity Model: The DSR and ISR Omega-Sequences -- Two Types of the RES -- Time Dependence of the Magnitudes -- Transitional Part of the Omega-Sequences -- Generalized Equations of the Omega-Sequences (GEOS) -- Numerical Tests -- Fibonacci Omega-Sequences -- Discussion and Conclusions -- References -- Chapter 9: Omega-Cells: ''Seismic Oscillators'' -- External Structure -- Internal Structure: Omega-Configurations -- Geometric Omega-Configuration -- Fibonacci Omega-Configuration -- Central Omega-Configuration -- Exact Notation for the Omega-Cells -- Description of Numerical Tests -- Sorting the Earthquakes and Nodal Planes -- Identifying the Omega-Sequences -- Analysis of the CSV Model for Båth's Law -- Reconstructing the Internal Structure of the Omega-Cells: Wedge-Profiling Technique (WPT) -- Results -- OmegaC257 and OmegaC234567 Sequences: The OmegaC234567-Cell -- Omega1P4-Sequence: The Omega1P4-Cell -- Proving the CSV Model for Båth's Law -- Discussion -- Omega-Cells as Cellular Automata -- Omega-Sequences and the B-Signals -- Omega-Cells as Octahedral Bodies -- References -- Chapter 10: Omori's Law -- Omori's Law and the Omega-Sequences -- Results of the Numerical Test -- Derivation of Omori's Law -- Can Earthquakes be Predicted? -- References -- Chapter 11: Felzer-Brodskys Law | |
| 520 | 3 | |a Derivation of the Felzer-Brodsky Law -- Discussion -- Why Foreshocks? -- What is Cascade Triggering? -- The Full Form of Felzer-Brodskys Law -- References -- Chapter 12: Strain Waves and Conservation Laws -- Two Bi-Magnitude Signals and the Omega-Cells -- The Kobayashi Equation -- Strain Waves: Velocities of the Seismic Migration -- The CSR Strain Waves -- The CSV Strain Waves -- Conservation Laws -- The First Conservation Law -- The Second Conservation Law -- The Third Conservation Law: The Omega Planes -- The Fourth Conservation Law -- The Meaning of the Static Stress Drop -- Discussion: Dynamic Versus Kinematic Approaches -- Sine-Gordon Equation -- Solutions of the Sine-Gordon Equation -- Forward and Backward Migrations -- References -- Chapter 13: Phase Transitions -- Earth's Crust as a Two-Phases Cosserat Material -- Velocity Transference -- The System of Equations -- Global Solution: The CSR Solution -- Local Solution -- General Solution -- Vikulin's Scaling Equations: Type 1 Magnitude Shift -- Vikulin's Conservation Law -- Scaling Laws for the Recurrence Time -- Global Solution: The CSR Solution -- Local Solution -- General Solution -- Geometric Solution -- Type 2 Magnitude Shift -- Discussion and Conclusions -- References -- Chapter 14: Gutenberg-Richters Law -- Derivation of Gutenberg-Richters Law -- Discussion -- Gutenberg-Richters Law in the Omega-Theory -- Guglielmi's Equation -- References -- Chapter 15: What Causes Earthquakes? -- Defining the Problem -- Magnitude Restrictions -- B1=B2 Sequence Events/Earthquakes -- The General Mechanism of Earthquakes (GME) -- The Seismic Characteristic Length -- The CSV Cosserat Velocity Splitting: The Time Delay in Earthquakes -- Cosserat-Huygens Principle -- Seismic Generalization of Amontons's Law -- Stress and Couple-Stress Vectors on a Fault/Wedge | |
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Datensatz im Suchindex
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| id | DE-604.BV046891105 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T19:03:55Z |
| institution | BVB |
| isbn | 9780128145814 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032300921 |
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| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (572 pages) |
| psigel | ZDB-30-PQE ZDB-4-NLEBK ZDB-4-NLEBK TUM_Einzelkauf |
| publishDate | 2018 |
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| publisher | Elsevier |
| record_format | marc |
| series | Developments in Structural Geology and Tectonics |
| series2 | Developments in Structural Geology and Tectonics |
| spellingShingle | Žalohar, Jure The Omega Theory A New Physics of Earthquakes Developments in Structural Geology and Tectonics |
| title | The Omega Theory A New Physics of Earthquakes |
| title_auth | The Omega Theory A New Physics of Earthquakes |
| title_exact_search | The Omega Theory A New Physics of Earthquakes |
| title_full | The Omega Theory A New Physics of Earthquakes |
| title_fullStr | The Omega Theory A New Physics of Earthquakes |
| title_full_unstemmed | The Omega Theory A New Physics of Earthquakes |
| title_short | The Omega Theory |
| title_sort | the omega theory a new physics of earthquakes |
| title_sub | A New Physics of Earthquakes |
| url | https://ebookcentral.proquest.com/lib/gbv/detail.action?docID=5394359 |
| volume_link | (DE-604)BV046891097 |
| work_keys_str_mv | AT zaloharjure theomegatheoryanewphysicsofearthquakes |