A semianalytical solution for partial penetration in two-layer aquifers

Analytical Solution for Two-Dimensional Coupled Thermoelastodynamics in a Cylinder

An infinitely long hollow cylinder containing isotropic linear elastic material is considered under the effect of arbitrary boundary stress and thermal condition. The two-dimensional coupled thermoelastodynamic PDEs are specified based on equations of motion and energy equation, which are uncoupled using Nowacki potential functions. The Laplace integral transform and Bessel-Fourier series are u...

Mathematical Derivations of Semianalytical Solutions for Hydraulic Tests in Highly Permeable Aquifers

Semianalytical solution of the Kondo model in a magnetic field

The single impurity Kondo model at zero temperature in a magnetic field is solved by an approximate semianalytical approach based on the flow-equation method. The resulting problem is shown to be equivalent to a resonant-level model with a nonconstant hybridization function. This nontrivial effective hybridization function encodes the quasiparticle interaction in the Kondo limit, while the magn...

Semianalytical solution for CO2 leakage through an abandoned well.

Capture and subsequent injection of carbon dioxide into deep geological formations is being considered as a means to reduce anthropogenic emissions of CO2 to the atmosphere. If such a strategy is to be successful, the injected CO2 must remain within the injection formation for long periods of time, at least several hundred years. Because mature continental sedimentary basins have a century-long...

Viscoelasticity of two-layer vesicles in solution.

The dynamic shape relaxation of the two-layer vesicle is calculated. In addition to the undulation relaxation where the two bilayers move in the same direction, the squeezing mode appears when the gap between the two bilayers is small. At a large gap, the inner vesicle relaxes much faster, whereas the slow mode is mainly due to the outer-layer relaxation. We have calculated the viscoelasticity ...