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Analytical modeling of P-wave scattering by a spherical cavity in an unsaturated porous half-space
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DOI：10.1016/j.soildyn.2026.110458.png)
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Abstract
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• 3D analytical solution for scattering by a spherical cavity in unsaturated half-space. • Saturation controls 3D site response via nonlinear multiphase coupling. • 2D models underestimate 3D displacement peaks and overestimate stress concentration. • Porosity–saturation coupling controls 3D surface motion and local stress hotspots. • The Hankel function integral transform is used for boundary condition orthogonality.
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