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GRAVITY GRADIOMETRY

Investigator : Manik Talwani

Outside Collaborators : Ed Biegert (Shell Oil), Dan DiFrancesco and Walter Feldman (Lockheed Martin)


Figure 1. Various gradient components computed over a hill with known topography.


Abstract

Gravity gradiometry is undergoing a renaissance. Gravity gradients measured by the Eotvos torsion balance were an important tool for geophysical prospecting from the early nineteen hundreds to the nineteen thirties. The development of the gravimeter led to the abandonment of the torsion balance which, although it provided very accurate measurements, was tedious to use and could not be used at sea..

During the last few years, a number of gradiometers have been developed, At least one manufacturer has an instrument which is very accurate, makes measurements relatively quickly and has been successfully deployed on land, at sea, and in aircraft. The instrument consists basically of pairs of accelerometers, the difference of reading between them eliminates inertial accelerations but records gravity gradients. It thus has the advantage that it is easily used on moving platforms. In addition it can be shown that the gradiometer is considerably superior to the gravimeter in recording signals with wavelengths under about 12 kilometers.

The current research project has two foci. One focus is to investigate changes in gravity gradients with time in heavy oil fields. In these fields when steam is injected to make the oil less viscous and drive it towards producing wells, an important problem is to determine the location of the steam oil interface. Tine lapse measurements are expected to be able to trace the interface.

The second focus relates to developing methodology for inverting and interpreting gravity gradients. The gravity vector has three components and since each component can vary in three orthogonal directions, there is a total of nine gradient components, of which five are independent. Figure 1 shows synthetic computation of gradients over an irregularly shaped hill. With the exception of the vertical gradient Uzz, none of the gradients show an obvious spatial relationship with a hill. A non linear inversion scheme has been devised which can invert the various gradient components to recover the topography of the hill (Figure 2). Investigations and enhancements related to the inversion scheme are the focus of ongoing research.

It is likely that airborne gradiometry will become the gravity measuring device of choice in the future for a wide range of applications, and future research in the use of this technology could be very rewarding.


Figure 2. Topography of the hill recovered by inversion of the gradient components.


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