โ Scribed by Derek Elsworth
No coin nor oath required. For personal study only.
A solution is developed for a point dislocation traversing a slab of saturated porous material under prescribed upper and lower hydraulic boundary conditions as an analogue to penetration in a layer of finite thickness. Pressure response is conditioned by geometrical parameters and those of dimensionless penetration rate U,, dimensionless time following penetration initiation t,, and dimensionless time followiiig penetration arrest t6. The extended set of dimensionless parameters controlling the response makes parameter determination problematic and questionably non-unique. Pressure response in the proximity of a lower permeable or impermeable boundary is indistinguishable from the homogeneous case for coefficients of consolidation c in excess of 2 cm2/s. Below this threshold, penetration-generated pore pressures are visibly modified in the presence of a discrete boundary. In situ parameters inferred directly from pressure magnitudes, without due consideration for the influence of layering, may therefore be in considerable error. In the hydraulically visible range, the influence of layering on the generated tip pressures is apparent at a separation of the order of 1.5 cm for standard penetration. Although absolute pressure magnitudes are strongly modified in the presence of boundaries, dissipation rates remain relatively unaffected and are consistent with those recorded in the absence of boundaries. The monitoring of dissipation rates, post-arrest, is suggested as the most reliable and accurate method of extricating parameters, in situ.
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