Basic Theory in Reflection Seismology
with MATHEMATICA Notebooks and Examples on CD-ROM
- 1st Edition, Volume 1 - October 27, 2004
- Authors: J.K. Costain, C. Coruh
- Language: English
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 4 5 7 5 6 - 7
The material in this volume provides the basic theory necessary to understand the principles behind imaging the subsurface of the Earth using reflection and refraction seismology.… Read more
The material in this volume provides the basic theory necessary to understand the principles behind imaging the subsurface of the Earth using reflection and refraction seismology. For reflection seismology, the end product is a "record section" from a collection of "wiggly traces" that are recorded in the field from which information about the properties of subsurface structure and rock can be derived. For the most part, the principles of imaging are the same regardless of the depth to the target; the same mathematical background is necessary for targeting a shallow water table as for investigating the base of the earth's continental "crust" at a depth of 30-50 km.
Geophysicists
1. Introduction.
1.1 Acknowledgments.
2. Groundwork.
2.1 Complex numbers.
3. Fourier transforms.
3.1 Introduction.
3.2 Signal nomenclature.
3.3 The Fourier coefficients.
3.4 From Fourier series to Fourier integrals.
3.5 Applications of Fourier transforms.
3.6 z-Transform.
4. Computational considerations.
4.1 Effect of analysis window on Fourier spectrum.
4.2 Aliasing.
5. Synthetics and velocity functions.
5.1 Normal-incidence reflection coefficient.
5.2 Values of reflection coefficients.
5.3 The Zoeppritz equations.
5.4 AVO and Zoeppritz equations in T-X domain.
5.5 Synthetic seismograms.
5.6 The reflectivity function.
5.7 Velocity functions.
5.8 Seismic trace attributes.
6. Traveltime curves and velocity.
6.1 Snell's law.
6.2 Reflection traveltime curves.
6.3 Refraction traveltime curves.
6.4 Composite refraction-reflection stacks.
7. Seismic source wavelets.
7.1 Energy sources.
7.2 Mathematical descriptions of wavelets.
7.3 Wavelet z - transform representation.
8. Wavelet shaping and deconvolution.
8.1 Inverse infinite filters, finite input.
8.2 Inverse finite filters, infinite input.
8.3 inverse filters and input each of finite length.
8.4 Spectral whitening.
8.5 Further applications of Hilbert transforms.
1.1 Acknowledgments.
2. Groundwork.
2.1 Complex numbers.
3. Fourier transforms.
3.1 Introduction.
3.2 Signal nomenclature.
3.3 The Fourier coefficients.
3.4 From Fourier series to Fourier integrals.
3.5 Applications of Fourier transforms.
3.6 z-Transform.
4. Computational considerations.
4.1 Effect of analysis window on Fourier spectrum.
4.2 Aliasing.
5. Synthetics and velocity functions.
5.1 Normal-incidence reflection coefficient.
5.2 Values of reflection coefficients.
5.3 The Zoeppritz equations.
5.4 AVO and Zoeppritz equations in T-X domain.
5.5 Synthetic seismograms.
5.6 The reflectivity function.
5.7 Velocity functions.
5.8 Seismic trace attributes.
6. Traveltime curves and velocity.
6.1 Snell's law.
6.2 Reflection traveltime curves.
6.3 Refraction traveltime curves.
6.4 Composite refraction-reflection stacks.
7. Seismic source wavelets.
7.1 Energy sources.
7.2 Mathematical descriptions of wavelets.
7.3 Wavelet z - transform representation.
8. Wavelet shaping and deconvolution.
8.1 Inverse infinite filters, finite input.
8.2 Inverse finite filters, infinite input.
8.3 inverse filters and input each of finite length.
8.4 Spectral whitening.
8.5 Further applications of Hilbert transforms.
- Edition: 1
- Volume: 1
- Published: October 27, 2004
- Language: English
JC
J.K. Costain
Affiliations and expertise
Virginia Polytechnic Institute and State University, Blacksburg, VA, USACC
C. Coruh
Affiliations and expertise
Virginia Polytechnic Institute and State University, Blacksburg, VA, USA