Differential equation-based seismic data filtering
Suppressing noise and enhancing useful seismic signal by filtering is one of the important tasks of seismic data processing. conventional filtering methods are implemented through either the convolution operation or various mathematical transforms. In this paper, we describe a methodology for studying and implementing filters, which, unlike those conventional filtering methods, is based on solving differential equations in the time and space domain. We call this kind of filtering differential equation-based filtering (DEBF). DEBF does not require that seismic data be stationary, so filtering parameters can vary with every time and space point. Also, in 2-D and 3-D, DEBF has higher computational efficiency than do conventional multiple-trace filtering methods. Examples with synthetic and field seismic data show the DEBF methods presented here to be efficient and effective.
- Research Organization:
- Colorado School of Mines, Golden, CO (United States). Center for Wave Phenomena
- Sponsoring Organization:
- DOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG02-89ER14079
- OSTI ID:
- 7235596
- Report Number(s):
- DOE/ER/14079-14; CWP--124; ON: DE92016282
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
42 ENGINEERING
422000 -- Engineering-- Mining & Underground Engineering-- (1980-)
58 GEOSCIENCES
580000* -- Geosciences
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
DATA PROCESSING
DETECTION
DIFFERENTIAL EQUATIONS
EQUATIONS
IMAGE PROCESSING
MATHEMATICAL LOGIC
NOISE
PROCESSING
SEISMIC DETECTION
SEISMIC NOISE
SEISMIC WAVES
SIGNAL-TO-NOISE RATIO
THREE-DIMENSIONAL CALCULATIONS
422000 -- Engineering-- Mining & Underground Engineering-- (1980-)
58 GEOSCIENCES
580000* -- Geosciences
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
DATA PROCESSING
DETECTION
DIFFERENTIAL EQUATIONS
EQUATIONS
IMAGE PROCESSING
MATHEMATICAL LOGIC
NOISE
PROCESSING
SEISMIC DETECTION
SEISMIC NOISE
SEISMIC WAVES
SIGNAL-TO-NOISE RATIO
THREE-DIMENSIONAL CALCULATIONS