Solution of the VSP one-dimensional inverse problem
The acoustical impedance distribution of the substratum, or equivalently, the reflection coefficient sequence, is determined from VSP data. This nonlinear inverse problem is solved by a least-squares method. As the wavelet is unknown, the impedance distribution and the Neumann boundary condition (which characterizes the excitation of the medium) are simultaneously identified. The inversion method is applied to synthetic and field VSP's; the result is satisfactory, even when strong noise corrupts the data, provided that a suitable constraint on the impedance distribution is introduced in order to ensure the stability of the inverse problem. The reliability of the inversion result in the case of field VSP, is confirmed. Some ways in which this result may be used are illustrated (calibration of the seismic surface data, multiple identification, prediction ahead of the bit).
- Research Organization:
- Institut Francais du Petrole, 1 a 4, Avenue de Bois Preau, 92506 Rueil-Malmaison
- OSTI ID:
- 6901651
- Journal Information:
- Geophys. Prospect.; (United States), Journal Name: Geophys. Prospect.; (United States) Vol. 34:7; ISSN GPPRA
- Country of Publication:
- United States
- Language:
- English
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ACOUSTIC MEASUREMENTS
BOUNDARY CONDITIONS
CALIBRATION
DATA PROCESSING
DRILL BITS
DRILLING EQUIPMENT
ENERGY-LEVEL TRANSITIONS
EQUIPMENT
EXCITATION
GEOLOGIC DEPOSITS
GEOPHYSICAL SURVEYS
IMPEDANCE
LEAST SQUARE FIT
MAXIMUM-LIKELIHOOD FIT
MINERAL RESOURCES
NATURAL GAS DEPOSITS
NOISE
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PETROLEUM DEPOSITS
PROCESSING
REFLECTION
RELIABILITY
RESOURCES
SEISMIC SURVEYS
SEISMIC WAVES
STABILITY
SURVEYS