WebMar 1, 2014 · For normally incident P and S waves, the two relations are derived herein, one is between the normal stress and the closure of the joint and the other is between the shear stresses and the relative tangential displacement of the joint.

Analysis for oblique wave propagation across filled joints based …

WebA theoretical model has been developed which predicts the amplitude and group time delay of the transmitted, reflected, and converted waves resulting from a plane wave incident upon a single fracture. It is assumed that seismic stresses are continuous across the interface. Seismic particle displacements, however, are assumed to be discontinuous. Webpredict the frequency-dependent transmission of a plane ,wave normally incident upon a fracture [ Schoenberg, 1980; Myer e t a/., 1985] and the existence of interface waves along a fracture [Pyrak-Nolte and Cook, 1987]. Consider a fracture located in the x-y plane, as shown in Figure 1. The displacement discontinuity boundary conditions how many carbs are in sharp cheddar cheese

Analysis for oblique wave propagation across filled joints based …

WebThe frequency dependence arises from the fact that, even though the fracture is assumed to be an interface of zero thickness, it still has at least two characteristic widths that provide the length scales necessary for scattering dependence on wavelength. WebMar 5, 2024 · Reflection from transmissive boundaries. Often more than one wave must be added to the given incident wave to satisfy all boundary conditions. For example, assume … WebThe closed-form expressions reveal that a single fracture can produce a variety of potentially diagnostic waves such as transmitted waves, reflected waves, converted … high rock lake nc fish species