We present a feasibility study for interpretation of gravity gradient surveys in a single borehole using both an analytic and inverse-based approach. We analytically solve for distance and direction angles to a point source using the components of the gravity gradient tensor from a set of observations in a single borehole. We then generalize this approach to include the response due to a prisma...

Pei Chen1, Xiucong Sun2, and Chao Han3 Beihang University, Beijing, 100191, People’s Republic of China Nomenclature U = gravitational potential, m2/s2 T = gravity gradient tensor (GGT), E TECEF = GGT in ECEF, E TENU = GGT in ENU, E TEIG = GGT in the Eigen frame, E T0 = GGT in GRF, E LA→B = rotation matrix from A to B r = observation position, m x, y, z = cartesian coordinates of r r, φ, λ = sph...

We present the results for 3D inversion of gravity gradiometry data over the Vredefort Impact Structure in South Africa. With the rapidly growing field of gravity gradiometry, an investigation into the extraction of information from multiple components is warranted. Though the gradient tensor has five independent components, any combination of the components can be used to invert for a structur...

a method for deformation computation based on strain tensor elements, as an alternative to the usual way of application of gradient of displacement vector, is proposed. the method computes directly the strain tensor elements from the computed/observed changes in distances and angles between the stations of a geodetic network in two epochs of observations. displacement vector which is determined...

In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...

PURPOSE This study compared the efficacy of complicated grief therapy (CGT; Shear, K. [2003]. Complicated grief: A guidebook for therapists [Liberty Version]. New York State Office of Mental Heath; Shear, K., Frank, E., Houck, P. R., & Reynolds, C. F. 3rd [2005]. Treatment of complicated grief: A randomized controlled trial. The Journal of the American Medical Association, 293, 2601-2608) admin...