The CRS stacking method simulates ZO seismic sections from multi-coverage data and does not dependente on a macro-velocity model. For 2-D medium the stacking traveltime depends on three parameters: the emergence angle of the normal ray (with respect to the measurement surface normal) and the wavefront curvatures of two hypothetical waves, called Normal-Incidence-Point (NIP) wave and Normal (N) wave. The CRS method consists of summing the amplitudes of the seismic traces in the multicoverage data along the surface defined by CRS stacking traveltime which that fits best the data set. The result of the CRS stack is assigned to points of a grid pre-defined in the ZO section. As the result obtain a simulated ZO section. This means that for each point of the ZO section must be estimated the three optimal parameters that yield the maximum coherence between the events of seismic reflection. In this Thesis I present formulae for the 2-D CRS method and for the NMO velocity that consider the topography of the measurement surface. The algorithm is based on the optimization strategy divided into three steps: 1) To search for the emergence angle and the curvature of the NIP wave, by applying a global optimization, 2) to search for the curvature of the N wave, by applying global optimization, and 3) to refine the initial parameters estimated in first two steps by applying local optimization. In the first two steps is used the Simulated Annealing (SA) algorithm and in the third step the Variable Metric (VM) algorithm. For the case of a measurement surface with smooth topography the curvature of this surface is included in the 2-D CRS stack formalism. This CRS algorithm implemented was applied to synthetic data set. The result is a simulated ZO section of high quality, with a high signal-to-noise ratio, and the estimative of the parameter triplet. It is performed a sensibility analysis for the new CRS stacking traveltime with respect to the curvature in several points of the curved measurement surface. This study showed that the CRS traveltime is more sensitive for fast midpoints of the central points and larger offsets. The expressions for the NMO velocities presented here is applied to estimate the interval velocities and the depth of the reflectors for 2-D model with a smooth topography. For the inversion of the velocities and the depth of the reflectors is considered the Dix-type inversion algorithm. The NMO velocity for a curved measurement surface deserves to best estimate the velocities and the depths of the reflectors than NMO velocities referred to planar surfaces. Also, I present an introduction to 3-D stack. In this case, the stacking traveltime depends on eight parameters. These parameters can be obtained by using some parameter-search strategies that I have showed in this Thesis. The combination of the strategy of the Traveltime Approximations and the strategy of Arbitrary Curvatures is used to apply 3-D CRS stack successful in synthetic and real data sets, respectively.
|
