Laplace gravity gradiometer

G - Physics – 01 – V

Patent

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G01V 7/02 (2006.01) G01V 7/00 (2006.01)

Patent

CA 2104180

A gravity gradiometer which derives the vertical component T zz of the gravity gradient tensor out of the two measured horizontal components T xx and T yy based on Laplace equation: T zz = - (T xx + T yy) comprises a single disc, and two pairs of radially-oriented horizontal axis accelerometers oppositely-mounted on such disc along respective X and Y axes. Each pair provides, respectively, T xx T x1 + T X2 and T yy=T y1, + T y2 where T X1 and T X2 are the respective outputs of the X axis accelerometers and T y1, and T y2 are the respective outputs of the Y axis accelerometers. The gravity gradiometer provides all five independent components of the gravity gradient tensor based on the above Laplace equation and tensor symmetry as follows: One of the above pairs of horizontal axis accelerometers further comprises tangentially oriented horizontal accelerometers capable of providing the T xy component of the gravity gradient tensor, and an accelerometer module consisting of two horizontal accelerometers aligned with the radially and tangentially oriented combination is mounted at a location on the Z axis of the disc above or below the disc to provide the T zx and T zy, components by substracting the values of T x and T y , respectively, at that location from average values of T x and T y at the disc plane.

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