Geophysics 437 -2008

Suggested Topics for Presentation

 

  1. Gravity corrections. Example of detailed derivation for forward modelling of the gravity effect of a simple shape structure. Include Matlab code. 

 

  1. Gravity corrections: deriving and example of applying of the terrain correction in Matlab. Can be synthetic dataset with applying the correction in Matlab.

 

  1. Magnetic anomaly: corrections to magnetic data, proceeding the data, forward modelling for simple geometric shapes (should be a topic nit covered in the lectures). Matlab code would include a function that applies such corrections.

 

  1. What is matrix? Basic operation with matrices, determinants, inverse, transpose matrix, Cramer’s rule to solve the system of linier equations. Example of application to processing of geophysical data with Matlab code example.

 

  1. Finding of the 2-D regional trend: use other fittings.  Include Matlab code.

 

  1. Fourier series and transforms, properties of periodic functions, evaluation of Fourier coefficients. You may try to fit our 2-D data with Fourier coefficients. Matlab code would include, for instance, the 2-D FFT function applied to your magnetic or gravity dataset.

 

  1. Fourier Transform. You may program any type of Fourier transform (part of it) and program it as a function that should be included into the gravity or magnetic data proceeding code. Include Matlab code.

 

  1. Convolution of two functions, discrete convolution. You may program 2-D convolution yourself and apply it to the gravity or magnetic dataset. Include Matlab code.

 

  1. Filtering of gravity and magnetic data. Use any filters we have not used during our course (for example derivative filters etc.). Include Matlab code.

 

  1.  Talwani's algorithm for gravity anomaly modelling: 2-D or 3-D (more complex, so more programming involved, the report can be very brief in this case). See articles: 3-D Talwani-60-gravity.pdf 

 

  1. Talwani's algorithm for magnetic anomaly modelling: 3-D (pretty complex, so more programming involved, the report can be very brief in this case). See: 3-D Talwani-65-magnetics.pdf

 

  1. Alternative to the Talwani’s method algorithms. Choose one. See as an example:

Digital Computation of Gravitational and Magnetic Anomalies and Their Derivatives for Two-dimensional Bodies of Arbitrary Shape by Vallabh Sharma: Two-dimensionalBodies of Arbitrary Shape.pdf

Gravity and Magnetics by Won (1987): Won-1987.pdf

3-D magnetics by Rao Bhaskara (1993): Bhaskara-1993.pdf

 

  1. Please feel free to suggest your own topic. Keep in mind that any other topic you suggest should be approved and discussed with me. You also may find this link with Fortran subroutines interesting: http://pangea.stanford.edu/~blakely/subroutines.html .

 

 

Preferable format of your report would be double spaced. Try to keep it to ~15–20 pages with figures (combine figures, make subfigures). Submit both electronic file AND hard copy of your report (then I can read it from anywhere because I am planning to be away some time in April but still can review your report).

 

NO presentation for this course, only a written report.

 

Please be sure that you extend textbook topic by additional interesting or useful information from additional sources (do not forget references). Matlab programming is required and can be used for any kind of demonstration for the report.

 

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