The Full Waveform Acoustic Log Inversion Problem

This paper presents the full waveform acoustic log inversion problem for a multisource - multireceiver tool logging a cylindrical fluid-filled borehole. The problem is formulated in the frequency-depth domain. A priori knowledge about the source array spectra and the borehole formation parameters...

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Bibliographic Details
Main Authors: Garcia, G. H., Cheng, C. H.
Other Authors: Massachusetts Institute of Technology. Earth Resources Laboratory
Format: Technical Report
Published: Massachusetts Institute of Technology. Earth Resources Laboratory 2012
Online Access:http://hdl.handle.net/1721.1/75144
Description
Summary:This paper presents the full waveform acoustic log inversion problem for a multisource - multireceiver tool logging a cylindrical fluid-filled borehole. The problem is formulated in the frequency-depth domain. A priori knowledge about the source array spectra and the borehole formation parameters (velocity, attenuation, density) is taken Into account. It is shown that the inversion problem can be formulated as a Separable Nonlinear Least Squares (SNLS) problem with separable nonlinear equality constraints. The case where the source is known and parameterized is studied with synthetic data and an inversion for V[subscript p], V[subscript s], V[subscript f] and P[subscript b] is implemented and studied.