this is for holding javascript data
Xiao edited sectionSoftware_desc.tex
over 8 years ago
Commit id: eb964832531d2145240a8d4d7f5332529062cf20
deletions | additions
diff --git a/sectionSoftware_desc.tex b/sectionSoftware_desc.tex
index a0f0910..22f2e9b 100644
--- a/sectionSoftware_desc.tex
+++ b/sectionSoftware_desc.tex
...
\section{Full gravity gradient tensor and its eigenvalue analysis}
\subsection{Theory of GGT}
\label{}
The practical gradio meter systems for rapidly measuring GGT have been developed (Bell et al., 1997; Jekeli, 1993). Mikus and Hinojosa (2001) propose the method of approximating of the GGT from measured gravity data. The full gravity gradient tensor, symbol T, can be written in the form
: :\\
\begin{equation}
T = \begin{bmatrix}
\frac{\partial^{2}U}{\partial_x^{2}} & \frac{\partial^{2}U}{\partial_ x\partial_y} & \frac{\partial^{2}U}{\partial_x\partial_x} \\
\frac{\partial^{2}U}{\partial_y\partial_x} & \frac{\partial^{2}U}{\partial_y^{2}} & \frac{\partial^{2}U}{\partial_y\partial_z} \\
\frac{\partial^{2}U}{\partial_z\partial_x} & \frac{\partial^{2}U}{\partial_z\partial_y} & \frac{\partial^{2}U}{\partial_z^{2}}
\end{bmatrix}
= \begin{bmatrix}
g_{xx} & g_{xy} & g_{xz} \\ g_{yx} & g_{yy} & g_{yz}\\g_{zx} & g_{zy} & g_{zz}
\end{bmatrix}
\end{equation}