### Mevcut:*

Materyal Türü | Demirbaş Numarası | Yer Numarası | Raf Konumu | Mevcut Konumu | Materyal Istek |
---|---|---|---|---|---|

E-Kitap | 1300544-1001 | TN269 .K38 2010 | Elsevier E-Kitap Koleksiyonu | Arıyor... | Arıyor... |

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### Özet

### Özet

This title covers the physical and mathematical principles of electric methods in applied geophysics.

### Yazar Notları

Emeritus Professor A.Kaufman has 28 years' experience of teaching at the geophysical department in Colorado School of Mines He received his PhD. in Institute of Physics of the Earth (Moscow) and degree of Doctor of Science from the Russian Academy of Science . From 1981 to 20015 he published 14 monographs by Academic Press and Elsevier, describing different geophysical methods. Most of them are translated and published in Russia and China. He also holds three patents, which found application in the surface and borehole geophysics. A. Kaufman is a honorary member of SEG.

### İçindekiler

Introduction | p. xi |

Acknowledgements | p. xiii |

List of symbols | p. xv |

Part 1 Electric Field in a Conducting Medium | |

1 Coulomb's Law and Stationary Electric Field | p. 3 |

1.1 Interaction of electric charges and Coulomb's law | p. 3 |

1.2 Surface, linear, and point charges | p. 7 |

1.3 The electric field | p. 11 |

1.4 The electric field caused by surface charge | p. 14 |

1.5 Electrostatic induction | p. 18 |

1.6 Voltage of the electric field | p. 23 |

1.7 The first equation of the electric field | p. 29 |

1.8 Flux of the electric field | p. 31 |

1.9 The second equation of the electric field | p. 33 |

1.10 System of equations of the electric field | p. 35 |

1.11 Potential of the electric field | p. 37 |

1.12 The electric dipole and double layer | p. 44 |

1.13 Solutions of Poisson's equation and uniqueness | p. 58 |

1.14 Polarization of a medium | p. 67 |

1.15 The potential and electric field caused by polarization | p. 69 |

1.16 Vector of electric induction and system of equations of electric field | p. 72 |

1.17 Distribution of bound charges | p. 76 |

2 Electric Field and Steady Current Flow in Conducting Media | p. 79 |

2.1 Electric current | p. 79 |

2.2 Ohm's law in differential form | p. 84 |

2.3 Principle of charge conservation | p. 88 |

2.4 System of equations of the field j | p. 93 |

2.5 Non-Coulomb force, Ohm's law, and electromotive force | p. 94 |

2.6 Distribution of electric charges in a conducting and polarizable medium | p. 101 |

2.7 System of equations of the electric field and potential | p. 114 |

2.8 Uniqueness theorem | p. 120 |

2.9 Resistance | p. 130 |

2.10 Grounding resistance | p. 141 |

2.11 Work done by Coulomb and extraneous forces, Joule's law | p. 147 |

3 The Electric Field, Current Density, and Potential in a Conducting Medium | p. 153 |

3.1 Influence of inhomogeneity on the electric field and current density | p. 153 |

3.2 A conducting sphere in a uniform electric field | p. 161 |

3.3 Elliptical cylinder in a uniform electric field | p. 167 |

3.4 The spheroid in a uniform electric field | p. 177 |

3.5 Grounding resistance of a strongly elongated spheroid | p. 182 |

3.6 Plane interface | p. 184 |

3.7 Vertical contact beneath the earth's surface | p. 190 |

3.8 Method of mirror reflection | p. 197 |

3.9 Distribution of charges in a layered medium and asymptotic field behavior | p. 201 |

3.10 Boundary conditions for electric field in the vicinity of thin layers | p. 206 |

3.11 Theorem of reciprocity | p. 212 |

3.12 Relationship between potential and boundary conditions | p. 216 |

Part 2 Electric Methods of Surface Geophysics | |

4 Electric Soundings | p. 223 |

4.1 Arrays of the electric methods | p. 223 |

4.2 Apparent resistivity and array coefficient | p. 225 |

4.3 The electric field on the surface of a two-layered medium | p. 231 |

4.4 Asymptotic behavior of the field when a base is an insulator | p. 245 |

4.5 Asymptotic behavior of the field when the base is an ideal conductor | p. 250 |

4.6 Apparent resistivity curves for a two-layered medium | p. 257 |

4.7 Electric field in the presence of a thin horizontal layer | p. 260 |

4.8 The electric field on the surface of a three-layered medium | p. 264 |

4.9 Electric field on the earth's surface of an n-layered medium | p. 272 |

4.10 Electric field when the current electrode is at the bottom of the upper layer | p. 276 |

4.11 Electric field at the bottom of the upper layer in the presence of the plane T | p. 281 |

4.12 Potential and electric field in an anisotropic medium | p. 284 |

5 Interpretation of Electric Soundings | p. 295 |

5.1 Symmetric and dipole arrays of electric soundings | p. 295 |

5.2 Solution of forward and inverse problems in electrical methods | p. 298 |

5.3 Functions with finite spectrum and integration of Eq. [5.31] | p. 315 |

5.4 Concept of uniqueness and the solution of the inverse problem | p. 320 |

6 Methods of Electrical Profiling and Mapping | p. 331 |

6.1 Electric profiling | p. 331 |

6.2 The charged-body or mise-à la-masse method | p. 345 |

6.3 Self-potential method | p. 351 |

Part 3 Electric Methods of Borehole Geophysics | |

7 Electrical Methods of Borehole Geophysics | p. 361 |

7.1 Current electrode at the borehole axis | p. 362 |

7.2 A medium with two cylindrical boundaries | p. 375 |

7.3 The method of lateral soundings | p. 379 |

7.4 Normal and lateral probes in a medium with two horizontal interfaces | p. 385 |

7.5 Field in a borehole surrounded by anisotropic medium | p. 395 |

7.6 Resistance R MN and its meaning | p. 398 |

7.7 Measurements of grounding resistance | p. 402 |

7.8 The Laterolog 1 | p. 404 |

7.9 Laterolog 3 | p. 409 |

7.10 Laterolog 7 | p. 412 |

7.11 Electric logging through casing | p. 414 |

7.12 Self-potential method | p. 426 |

Bibliography | p. 433 |

Index | p. 435 |