Title :
An improved procedure of least-squares inversion and its application in VSP record
Author_Institution :
Sch. of Phys. & Inf. Sci., Tianshui Normal Univ., Tianshui, China
Abstract :
The spectrum of a discrete Fourier transform (DFT) is estimated by generalized linear inversion, and used to produce desirable seismic traces with regular spatial sampling from an irregularly sampled data set. The essence of such an approach is to solve the DFT inverse problem with a particular constraint. This paper introduces a diagonal constrained matrix that is real and positive definition, so as to improve the resolution of model space. Application to both synthetic and real seismic data reveals the effectiveness of the technique.
Keywords :
data analysis; discrete Fourier transforms; geophysical techniques; inverse problems; least squares approximations; seismology; diagonal constrained matrix method; discrete Fourier transform inverse problem; discrete Fourier transform spectrum; generalized linear inversion method; least-squares inversion method; real seismic data; seismic trace estimation; spatial sampling analysis; synthetic seismic data; vertical seismic profiling record; Discrete Fourier transforms; Equations; Estimation; Geophysical measurements; Image reconstruction; Inverse problems; anti-leakage; data reconstruction; discrete Fourier transform (DFT); least-squares inversion; spectra estimation; vertical seismic profiling (VSP);
Conference_Titel :
Computer Science and Service System (CSSS), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9762-1
DOI :
10.1109/CSSS.2011.5972106
