Principles of Applied Geophysics

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Principles of Applied Geophysics Fifth edition D.S. Parasnis Professor emeritus of Applied Geophysics Department of Applied Geophysics, University ofluled, Lulea, Sweden Fellow of the Royal Swedish Academy of Engineering Sciences CHAPMAN & HALL London Weinheim New York Tokyo Melbourne Madras

Contents Preface Pages xi 1 Introduction 1 2 Magnetic methods 4 2.1 Short history 4 2.2 Basic concepts and units 4 2.3 Magnetic properties 7 2.4 The geomagnetic field 12 2.5 Instruments of magnetic surveying 14 2.6 Survey layout and field procedure 18 2.7 Relative merits of horizontal-, vertical- and total-field measurements 20 2.8 Qualitative interpretation of magnetic anomalies 21 2.9 Quantitative interpretation 27 2.10 Effect of demagnetization 52 2.11 Further examples of magnetic investigations 54 Problems 58. 3 Gravitational methods 60 3.1 Introduction 60 3.2 Gravitational field of the Earth 62 3.3 Measurement of gravity: absolute and relative measurements 64 3.4 Gravimeters 65 3.5 Field procedure 67 3.6 Corrections to gravity observations 68 3.7 The Bouguer anomaly 72 3.8 Density determinations 73 3.9 Interpretation 73 3.10 Depth determinations 81 3.11 Some theoretical aspects of gravity interpretation 84 3.12 Determination of total anomalous mass 91 3.13 Derivatives of gravity 92 3.14 Illustrations of gravity surveys and interpretation 96

3.15 Note on marine gravity measurements 100 Problems 102 4 Electrical methods 104 4.1 Introduction 104 4.2 Self-potential method 104 4.3 Earth resistivity 121 4.4 Some practical aspects of resistivity work 124 4.5 Vertical electrical sounding 131 4.6 Electrical mapping 155 4.7 Anisotropic Earth 172 Problems 176 5 Induced polarization 179 5.1 Introduction 179 5.2 Measures of induced polarization 180 5.3 Origin of induced polarization 184 5.4 Response of polarizable bodies 187 5.5 Electromagnetic coupling 188 5.6 Negative induced polarization 190 5.7 Induced polarization soundings for groundwater problems 191 Problems 193 0 6 Electromagnetic methods 194 6.1 Introduction 194 6.2 Electromagnetic induction 195 6.3 Elliptic polarization 199 6.4 Free-space magnetic fields of low-frequency sources 201 6.5 Quasi-static, near and far fields 204 6.6 Classification of artificial-source, continuous-wave methods 206 6.7 Near-field continuous-wave methods 207 6.8 Far-field methods, 220 6.9 Interpretation aids in electromagnetic prospecting v 229 6.10 Depth penetration 232 6.11 Influence of overburden conductivity and current channelling 233 6.12 Transient-field methods (time-domain electromagnetism) 235 6.13 Influence of magnetic permeability 241 6.14 Controlled-source electromagnetic sounding 243 6.15 Ground-penetrating radar. 246 6.16 Natural-field methods 262 6.17 Airborne measurements 266 6.18 Note on the design of electromagnetic coils 269 Problems 271 7 Seismic methods 273 7.1 Introduction 273 7.2 Elastic constants and waves 273 7.3 The reflection method 281

7.4 The refraction method 329 Problems 343 8 Radioactivity methods 345 8.1 Introduction 345 8.2 Theoretical background 345 8.3 Radioactivity of rocks 348 8.4 Radiation detectors, measurement units and field procedure 348 8.5 Radon measurements 352 8.6 Radioactive density determinations 354 8.7 Airborne radioactivity measurements 355 9 Outline of well logging in oil fields 356 9.1 Introduction 356 9.2 Permeable zones 356 9.3 Archie's law 357 9.4 Permeability-zone logs 358 9.5 Resistivity and conductivity logs 360 9.6 Porosity logs 362 9.7 Auxiliary logs and measurements 367 9.8 Basic log interpretation procedure 367 10 Miscellaneous methods and topics, 369 10.1 Borehole magnetometer 369 10.2 Mise-d-la-masse method 369 10.3 Logging in crystalline rocks and coal fields 371 10.4 Geothermal methods 371 10.5 Geochemical prospecting 371 10.6 Optimum point and line spacing 372 10.7 Position location in airborne surveying 373 10.8 Composite or integrated surveys 374 10.9 Frequency or wavenumber filtering 377 Appendices - 386 Appendix 1 The magnetic potential 386 Appendix 2 Magnetized sphere and a magnetic dipole 389 Appendix 3 Magnetic anomaly of a sphere 392 Appendix 4 Measurement of susceptibility and remanence 393 Appendix 5 Magnetic potential of a linear dipole and the anomalies of thin and thick sheets, and of a geological fault 396 Appendix 6 Demagnetization 'factors' for a rectangular parallelepiped 402 Appendix 7 Electric potential 404 Appendix 8 Apparent resistivities for dipole-dipole configurations 405 Appendix 9 Potential of a point current electrode on the surface of a horizontally layered Earth 406 Appendix 10 Homogeneous, anisotropic Earth (derivation of equation (4.76)) 409 Appendix 11 Single-turn loop and other topics in electromagnetic methods 410 Appendix 12 Acoustic impedance 413 Appendix 13 Fourier transforms and convolution 414

Answers and hints 419 References 422 Index 431