Accession Number:

ADA455174

Title:

Simultaneous Determination of Source Wavelet and Velocity Profile Using Impulsive Point-Source Reflections from a Layered Fluid

Descriptive Note:

Technical rept.

Corporate Author:

RICE UNIV HOUSTON TX DEPT OF MATHEMATICAL SCIENCES

Personal Author(s):

• Bube, K.
• Lailly, P.
• Sacks, P.
• Santosa, F.
• Symes, W. W.

Report Date:

1987-06-01

Pagination or Media Count:

43.0

Abstract:

The determination of source signature is a major calibration problem in reflection seismology. This deconvolution problem is conventionally approached by way of statistical methods, by direct measurement, or by the location of a clean reflection in an otherwise quiet part of a reflection section. We show that a quasi-impulsive, isotropic point source may be recovered simultaneously with the velocity profile from reflection data over a layered fluid, in linear perturbation approximation. Our approach is completely deterministic, and does not depend on the presence of an isolated reflection in a quiet part of the section, as we illustrate with a numerical example. After describing the algorithm and a numerical implementation, we give a complete mathematical treatment, which shows that our estimates of source wavelet and velocity profile are stable in a certain sense. Because of this stability property we conjecture that our approach to simultaneous estimation of source and medium parameters actually applies to a much broader class of models than that treated here.

Descriptors:

• *SEISMOLOGY
• ALGORITHMS
• PARAMETERS
• SEISMIC REFLECTION
• APPROXIMATION(MATHEMATICS)
• MATHEMATICAL ANALYSIS
• ISOTROPISM
• PERTURBATION THEORY
• SYNCHRONISM
• DETERMINATION

Subject Categories:

• Seismology

Distribution Statement:

APPROVED FOR PUBLIC RELEASE