Inverse problems of electromagnetic geophysical fields /
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English Russian |
| Published: |
Utrecht, The Netherlands :
VSP,
1999.
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| Series: | Inverse and ill-posed problems series.
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| Subjects: | |
| Online Access: |
Full text (Emmanuel users only) |
Table of Contents:
- Chapter 1. Two-dimensional problems of a magnetic exploration method involving artificial field magnetization and electric exploration by a direct current
- 1.1. Problem statement
- 1.2. Direct problems of an electric exploration and MAM as problems of linear conjunction of analytical functions
- 1.3. Effective algorithm of the solution of a problem of linear conjunction
- 1.4. The theoretical inverse MAM problem and electric exploration with a direct current
- 1.5. Effective algorithm for solving the inverse MAM problem taking account of demagnetization
- 1.6. Uniqueness of the solution of the inverse problem of magnetic exploration1.7. On the weak uniqueness of the solution of the inverse problem
- 1.8. On the uniqueness of the solution of the inverse problem of potential theory in a field magnetization method using a rotating field (Sq-variation)
- Chapter 2. The effective algorithms of solution of direct and inverse three-dimensional problems of magnetic exploration taking account of demagnetization
- 2.1. Reducing the direct problem to the integral equation of the second kind
- 2.2. Solution of the operator equation in a neighborhood of the first eigenvalue2.3. Parametrized algorithms of the solution of direct problems
- 2.4. Examples of mathematical modeling
- 2.5. Solution of the inverse problem in view of demagnetization by the method of the quasi-equivalent ellipsoid
- 2.6. Theoretical and practical examples of realization of the algorithm of the �equivalent ellipsoid�
- Chapter 3. Mathematical theory and algorithms of the solution of three-dimensional inverse problems of electric exploration with a direct current
- 3.1. Problem statement3.2. Integral equations of the theoretical inverse problem of electric exploration and the method of artificial magnetization
- 3.3. Integral transformations of electromagnetic fields
- 3.4. The algorithm of solution of (3.10) and (3.14) in the class of stellar bodies
- 3.5. On the solution of the charge method inverse problem
- 3.6. Algorithm for solving equations (3.30) and (3.32) in the class of stellar bodies
- 3.7. The magnetic fields of spread currents inverse problem equations
- 3.7.1. Problem statement
- 3.7.2. Equations of theoretical inverse problem3.8. Two-stage method of the solution to the inverse problem of electric exploration
- Chapter 4. Explicit equations for inverse problems of electromagnetic field
- 4.1. Equations of electrodynamics
- 4.2. Formulation of problem
- 4.3. Explicit TIP equations for monochromatic field
- 4.4. The TIP equations for quasi-stationary field
- 4.5. The TIP equations for the case Ï?2 = 0
- 4.6. The TIP equations for arbitrary electromagnetic field
- 4.7. Algorithm for solving the TIP equations in the class of stellar bodies