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#### Applications Of Perturbation Theory To Acoustic Logging

(Massachusetts Institute of Technology. Earth Resources Laboratory, 1989)

For guided wave propagation in boreholes, perturbation theory is used to calculate
(1) the partial derivative of the wavenumber or frequency with respect to an elastic
modulus or density, (2) group velocity, and (3) the ...

#### Estimating Phase Velocity and Attenuation of Guided Waves in Acoustic Logging Data

(Massachusetts Institute of Technology. Earth Resources Laboratory, 1987)

Phase velocity and attenuation of guided waves have been estimated from multireceiver,
full waveform, acoustic logging data using the extended Prony's method. Since a formation
affects velocity and attenuation, estimating ...

#### Application Of Rayleigh's Principle To Guided Waves In A Borehole

(Massachusetts Institute of Technology. Earth Resources Laboratory, 1988)

The Lagrangian for guided waves in a completely general borehole model is presented.
Rayleigh's principle is used to derive the first order perturbations in wavenumber and
frequency due to slight perturbations in the ...

#### Estimating Phase Velocity And Attenuation Of Guided Waves In Acoustic Logging Data

(Massachusetts Institute of Technology. Earth Resources Laboratory, 1988)

Phase velocity and attenuation of guided waves have been estimated from acoustic logging
data recorded by a receiving array. The method uses data from multiple sources
and successive depths yielding more accurate estimates ...

#### Estimating The Elastic Moduli Of Transversely Isotropic Formations

(Massachusetts Institute of Technology. Earth Resources Laboratory, 1989)

Using acoustic logging data, we develop a method of estimating the horizontal shear
modulus C[subscript 66]) of a transversely isotropic formation with its axis of symmetry parallel to that of the borehole. The data for ...

#### Guided Waves In Slight, Azimuthally Anisotropic Formations

(Massachusetts Institute of Technology. Earth Resources Laboratory, 1989)

A method of calculating dispersion curves for guided waves in slight, azimuthally
anisotropic formations is developed with perturbation theory. The fluid is assumed
to be inviscid, the formation perfectly elastic and ...

#### Acoustic Logging Guided Waves In Transversely Isotropic Formations

(Massachusetts Institute of Technology. Earth Resources Laboratory, 1988)

We have studied the velocity dispersion of guided waves in transversely isotropic formations. Theoretical velocity dispersion curves were calculated with elastic constants
based on laboratory and field measurements and ...