Title |
Image focusing and data compression in the solution of geophysical inverse problems |
Publication Type |
dissertation |
School or College |
College of Mines & Earth Sciences |
Department |
Geology & Geophysics |
Author |
Portniaguine, Oleg Nikolaevich |
Date |
1999-06-06 |
Description |
One of t h e critical problems in the inversion of geophysical d a t a is developing a stable solution which at the same time can resolve complicated geological structures. The traditional way to obtain a stable solution is based on t h e criterion of maximum smoothness. This approach, however, provides smoothed "unfocused" images of real geological structures. In this dissertation we develop a new technique to solve this problem, which we call focusing of inversion images. It is based on specially selected stabilizing functionals which minimize the area where strong model parameter variations and discontinuity occur. We demonstrate that focusing inversion generates more focused and clearer images for geological structures than regularization based on conventional maximum smoothness or total variation (TV) functionals. Numerical solution of 3-D (three-dimensional) inverse problems also requires fast computer speed and large memory resources. We present a new technique for inverse problem solution which reduces College of Engineering; power requirements by orders of magnitude. This technique is based on the idea of d a t a compression, which is widely used in t h e telecommunications industry to reduce the amount of t r a n s m i t t e d data. We use compression with an interpolation pyramid in the inverse problem solution. This method produces up to 30-fold reduction in memory and execution time in the solution of a typical 3-D geophysical inverse problem. We develop numerical algorithms and computer codes to apply image focusing and compression to interpretation of 3-D gravity and 3-D electromagnetic (EM) data. Our discussion is illustrated with comprehensive numerical examples and 3-D inversion of real gravity and EM data. |
Type |
Text |
Publisher |
University of Utah |
Subject |
Inversion; Geophysics |
Dissertation Institution |
University of Utah |
Dissertation Name |
PhD |
Language |
eng |
Relation is Version of |
Digital reproduction of "Image focusing and data compression in the solution of geophysical inverse problems" J. Willard Marriott Library Special Collections QC3.5 1999 .P67 |
Rights Management |
© Oleg Nikolaevich Portniaguine, To comply with copyright, the file for this work may be restricted to The University of Utah campus libraries pending author permission. |
Format |
application/pdf |
Format Medium |
application/pdf |
Format Extent |
63,366 bytes |
Identifier |
us-etd2,153872 |
Source |
Original: University of Utah J. Willard Marriott Library Special Collections |
Conversion Specifications |
Original scanned on Epson GT-30000 as 400 dpi to pdf using ABBYY FineReader 9.0 Professional Edition. |
ARK |
ark:/87278/s6gt62qn |
Setname |
ir_etd |
ID |
192708 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6gt62qn |