Wavelet transform applications in gravity method

Within the scope of this thesis identification of discontinuities, determining of structure boundary and differentiated impacts resulting from shallow and deep structure was targeted by using wavelet transform in gravity data. For this purpose, one and two-dimensional data were used for analysis. Initially, fundamentals and types of wavelet transform were described and compared with Fourier transform. After results were analyzed with the application of wavelet transform. Firstly, wavelet transform tested in synthetic one-dimensional data. Determination of discontinuity which added into the a one-dimensional continuous sinusoidal ripples were successfully carried out by wavelet analysis. After wavelet analysis, directional derivatives, analytical extension and boundary analysis methods were applied on pseudogravity anomalies of two dimensional prisms which have different dephts, densities and sizes generated via Potensoft program. The locations and boundaries of the prisms could be detected succesfully as a result of transform. Outcomes were compared using the traditional methods. In addition, noisy synthetic data were analyzed by using both traditional and wavelet transform and the results were compared. In addition, 4 percent of white gaussian noise with a mean of 0 was added to the synthetic data and comparisons were made by applying the same methods. While one and two prism models at different depths and density, their noisy and noise free analysis results were successful, the results of four noisy different prism model could not be analyzed very well because of this complicated structure