Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network

Open Access. Powered by Scholars. Published by Universities.®

Theses/Dissertations

Mathematics

Edith Cowan University

Geology

Articles 1 - 1 of 1

Full-Text Articles in Entire DC Network

Wavelet-Based Simulation Of Geological Variables, T. T. Tran Jan 2003

Wavelet-Based Simulation Of Geological Variables, T. T. Tran

Theses: Doctorates and Masters

This thesis introduces a number of conditional simulation algorithms using wavelet bases. These make use of two orthogonal wavelet bases, the Haar and the Db2 bases. Firstly, two single-level algorithms are introduced, HSIM: with the Haar basis and DB2SIM with the Db2 basis. HSIM reproduces the histogram and semivariogram model of isotropic samples but not the semivariogrnm model of anisotropic samples. DB2SIM reproduces the histogram and semivariogram model in both the isotropic and anisotropic cases but, because of the conditioning method employed, is not as computationally efficient as we would wish. Because of the limitations of HSIM and Db2SIM two …