Method and apparatus for identifying geological structures using

Details Method and apparatus for identifying geological structures using Method and apparatus for identifying geological structures using

1995-04-10

1997-09-30

Trammell, James P.

Boots, shoes, and leggings

73382G, 324323, 367 38, G01V 300

Patent

active

056731914

ABSTRACT:
A method of analyzing geological survey data of the potential field measurement type is disclosed. According to the disclosed method, discrete measurement values of the potential field, either the gravitational or magnetic field, are retrieved from memory, corresponding to either a one-dimensional or two-dimensional survey region of the earth. The discrete values are first preconditioned by the application of a noise-reduction digital filter, preferably of the Weiner type. The disclosed method then performs decomposition of the filtered discrete values using the Daubechies scale function and wavelet function of length 2. According to the preferred method, the second level low-frequency component of the first level high-frequency component is generated, and expanded by a factor of four to correspond to the range of the input discrete values. Interpolation is performed to fill in values between adjacent coefficients of this component. As a result of the disclosed method, resolution of geological structures is much improved, enabling detection and discrimination of complex and interfering structures at increased depths.

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Foster, et al., "Wavelet transform methods for geophysical applications," Expanded Abstracts with Biographies: 1994 Technical Program of the SEG International Exposition and 64th Annual Meeting (Society of Exploration of Geophysicists, Oct. 23-28, 1994), paper SP1.7, pp. 1465-1468.
Rioul, et al., "Wavelets and Signal Processing," SP Magazine (IEEE, Oct. 1991), pp. 14-38.
Miao, et al., "Application of the wavelet transform in seismic data processing", Expanded Abstracts with Biographies: 1994 Technical Program of the SEG International and 64th Annual Meeting (Society of Exploration Geophysicists, Oct. 23-28, 1994), paper SP1.6, pp. 1461-1464.
Daubechies, "Orthonormal Bases of Compactly Supported Wavelets," Comm. Pure Appl. Math. (1988), pp. 909-966.

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