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Book Chapter

Signals in a Borehole Due to Plane Waves in the Solid

By
J. E. White
J. E. White
Field Research Laboratories, Magnolia Petroleum Company, Dallas, Texas (Received June 19, 1953)
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Published:
January 01, 2000

Abstract

This paper presents a theory describing the acoustic waves set up in a fluid-filled borehole by the passage of plane elastic waves in the surrounding solid. It consists of a mathematical development of the following process. A stress in the solid around the borehole will in general cause the hole to contract or expand. A contraction compresses the fluid and causes pulses to radiate in both directions as tube waves. At some observation point, one of these pulses is observed after a delay due to the propagation as a tube wave. A complex wave in the solid is expressed as a combination of stresses distributed along elementary lengths of the borehole, and the total acoustic wave received at a point is expressed as the summation of elementary pulses arriving after suitable delays. The expressions derived give pressure or fluid particle velocity in terms of motion or stresses in the solid for plane compressional waves and plane shear waves arriving at any angle. The method can be extended to the case of a spherical wave cutting the borehole

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Contents

Society of Exploration Geophysicists Geophysics Reprint Series

Seismic Wave Propagation: Collected Works of J. E. White

J. E. White
J. E. White
Professor Emeritus, Colorado School of Mines
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Society of Exploration Geophysicists
Volume
21
ISBN electronic:
9781560802471
Publication date:
January 01, 2000

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