Three‐dimensional gravity modeling in all space

Ring faults and ring dikes around the Orientale basin on the Moon

“…√ where x i , y j , z k represent the x, y, and z, components of the vector between the observation point and the centers of the different faces of the prism (Forsberg, 1984;Li and Chouteau, 1998). The gravity gradients of discrete structures are highly sensitive to the resolution at which they are measured or calculated, so the computed gravity gradients from the forward model were filtered in the Fourier domain to match the filter applied to the gravity gradients.…”

Minimum‐structure borehole gravity inversion

“…Because the method uses an approximation of P oisson 's equation, testing was necessary to validate the method. Borehole gravity data calcula ted at identical locations for a dense cube were compared between the finite-difference approximation method and the algorithm of Okabe -Steiner and Zilahi-Sebess presented by Li and Chouteau (1998). In Chapter 2, three borehole locations at various distances from the cube were observed for four cube meshes each of size 600m 3 , but wit h varying cell sizes.…”

“…The algorithms have been presented in t he past and a full summary is given by Li and Chouteau (1998). Most surface gravity inversion programs (Li and Oldenburg, 1998) (7) must be evaluated from the lower limit to zero and from zero to the upper limit.…”

“…In Chapter 2, three borehole locations at various distances from the cube were observed for four cube meshes each of size 600m 3 , but wit h varying cell sizes. T he finite-difference method proved to emulate the Li and Chouteau (1998) …”

A Comparative Analysis of Edge Detection Methods in Magnetic Data

“…We applied each edge detection method to synthetic magnetic data after RTP (reduction-to-the-pole) using the computation of Li and Chouteau (1998). Each method automatically found solutions of the boundaries based on its own edge indicator.…”