Numerical Simulation and Parametric Analysis of Cross-Dipole Acoustic Logging Responses in HTI Formations
Abstract
However, the response of four-component dispersion curves to γ remains insufficiently understood, limiting the quantitative use of dispersion data in anisotropy-parameter inversion. To investigate this response, cross-dipole excitation along the X and Y directions was simulated using a velocity–stress staggered-grid finite-difference method with convolutional perfectly matched layers, yielding XX, XY, YX, and
YY array waveforms. With other model conditions fixed, γ was varied from 0.05 to 0.30. Dispersion curves were extracted using weighted
spectral semblance, and the response mechanism was examined in terms of elastic-stiffness variations and borehole-wave propagation. The
results show that increasing γ shifts the principal XX and YX flexural-wave dispersion curves toward lower slowness, with larger slowness
shifts at low to intermediate frequencies, whereas the YY component changes only slightly. γ affects the X-polarized flexural-wave velocity primarily by changing c66. The high-slowness trajectories in the XY component are attributed mainly to Stoneley waves. These results
clarify the relationship between γ and the four-component dispersion responses and provide a numerical basis for anisotropy-parameter
identification in HTI formations.
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DOI: http://dx.doi.org/10.70711/frim.v4i9.10221
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