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Porosity inference and classification of siliciclastic rocks from multiple data sets

Porosity inference and classification of siliciclastic rocks from multiple data sets Revista: Geophysics, 2006, 71, P65-V76. We develop a Bayesian formulation for joint inference of porosity and clay volume, incorporating multiple data sets, prior information, and rock physics models. The derivation is carried out considering the full uncertainty involved in calculations from unknown hyperparameters required by either rock physics equations model coefficients or statistical models data variances. Eventually, data variances are marginalized in closed form, and the model coefficients are fixed using a calibration procedure. To avoid working with a high-dimension probability density function in the parameter space, [...]

Porosity inference and classification of siliciclastic rocks from multiple data sets2018-12-26T14:25:46-02:00

A fourth-order finite-difference method for the acoustic wave equation on irregular grids

A fourth-order finite-difference method for the acoustic wave equation on irregular grids Revista: Geophysics, 2003, 68, 1–5. This paper presents a FD approximation for the acoustic wave equation which is able to handle nonuniform rectangular grids. The new scheme has achieved the same accuracy of a thin regular-grid calculation while reducing the computational cost. The inevitable variation of the numerical phase velocity as a function of the grid step requires some care when designing irregular meshes because contrasts in the phase velocity can produce numerical reflections. To deal with this problem and to keep the accuracy of the [...]

A fourth-order finite-difference method for the acoustic wave equation on irregular grids2018-12-26T14:32:33-02:00
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