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GPGN
511
Advanced
gravity & magnetic exploration |
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Course
Description : |
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This
course focuses on newly-developed processing and
interpretation techniques for gravity and magnetic
data. A number of selected topics will be discussed
that cover different stages from data reduction,
processing, to interpretation. The common foundation
for these techniques is the inverse theory applied
to the problems in gravity and magnetic exploration.
Within this context, regularized inversion, fast
numerical methods for large-scale problems, and
the interior-point method of optimization will be
discussed. |
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Course
sections: |
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- Introductory
review on the basics of the gravity and magnetic
methods: Basic theory, data processing,
areas of application, and outstanding problems
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- Stable
downward continuation: This section
treats an age-old problem while introducing
the basic concepts of regularized inversion
and demonstrating how it can be used to tackle
ill-posed problems in gravity and magnetics
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- Stable
reduction to the pole of magnetic data at low
latitudes: This is one of the best-known
difficult problems in gravity and magnetics.
Formulation as a regularized inversion allows
one to extend this operation to the magnetic
equator while providing a framework for understanding
previous approaches in the literature
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- Construction
of equivalent sources: This processing
technique has seen increased use in recent years
due to the increased computing power and more
efficient numerical techniques. We discuss its
solution using wavelet transforms and regularized
inversion. This also serve to introduce the
wavelet-based fast algorithms for large-scale
problems
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- 3D
Inversion of gravity and magnetic data:
This topic utilizes the numerical techniques
introduced in the previous sections, and tackle
the penultimate problem of constructing a 3D
distribution of physical properties from the
surface or borehole measurements of gravity
or magnetic data. Aspects of 3D inversion, depth
weighting function, imposition of bound constraints
using interior-point methods, and fast numerical
solution using wavelets are discussed
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Credit
Hours: 4 |
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Instructor: |
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Dr.
Yaoguo Li
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ygli@mines.edu |
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Phone:
303-273-3510 |
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Office:
Green Center, 280N |
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