Least square minimization for depth and shape determination through Micro-gravity data

Document Type : Research Paper

Author

Institute of Geophysics, University of Tehran, P.O. Box 14155- 6466, Tehran, Iran and Center of Excellence in Geomatics Engineering and Disaster Management, Survey Engineering Department, University of Tehran

Abstract

The least-square minimization approaches for determination of depth, shape and amplitude coefficient expressed by Abdolrahman et al. (2001) for sphere and horizontal cylinder is used for rectangular prisms as synthetic models with and without random noises. The method is also applied for real sources producing micro-gravity data .The capability of the method is tested and discussed in this paper.

Keywords


Abdolrahman, E. M., and Sharafeldin, S. M., 1995a, A least-squares minimization approach to shape determination from gravity data. Geophysics, 60, 589-590.
Abdolrahman, E. M., El-Araby, H. M., El-Araby, T. M., and Abo-Ezz E. R., 2001, Three least-squares minimization coefficient determination from gravity data. Geophysics, 66, 1105-1109.
Abdolrahman, E. M., and El-Arabi, T. M., 1993, A least-square minimization approach to depth determination from moving average residual gravity anomalies. Geophysics, 59, 1779-1784.
Abdolrahman, E. M., Bayoumi, A. I., and El-Arabi, H. M., 1991, A least-square minimization approach to invert gravity data. Geophysics, 56, 11-118.
Abdolrahman, E. M., Bayoumi, A. I., Abdelhady, Y. E., Gobashy, M. M., and El-Arabi, H. M., 1989, Gravity interpretation using correlation factors between successive least-square residual anomalies, Geophysics, 54, 1614-1621.
Nettelton, L. L., 1942, Gravity and magnetic calculations. Geophysics, 7, 293-310.
Talwani, M., Worzel, J. L., Landisman, M., 1959, Rapid computation for two-dimensional bodies with application to the Mendocino Submarine Fracture zone. Geophys. Res, 64, 49-59.