Model for Coupled Large-Strain Consolidation and Solute Transport under Constant Rate of Strain
A numerical model, called CSTCRS1, is presented for coupled onedimensional large strain consolidation and solute transport under constant rate of strain (CRS) loading conditions. The model is based on a dual-Lagrangian framework that tracks separately the motions of fluid and solid phases. A series of numerical simulations indicates that transport boundary conditions can have an important effect on the solute transport during CRS consolidation. The zero concentration boundary condition yielded the largest solute mass outflows, the reservoir boundary condition yielded intermediate values, and the zero concentration gradient boundary condition yielded the smallest outflows. Additional simulations indicate that, for conditions considered, increasing the applied strain rate will generally decrease solute mass outflow.
We describe preliminary results from an effort to quantify the uncertainties in parton distribution functions and the resulting uncertainties in predicted physical quantities. The production cross section of the $W$ boson is given as a first example. Constraints due to the full data sets of the CTEQ global analysis are used in this study. Two complementary approaches, based on the Hessian and the Lagrange multiplier method respectively, are outlined. We discuss issues on obtaining meaningful uncertainty estimates that include the effect of correlated experimental systematic uncertainties and illustrate them with detailed calculations using one set of precision DIS data.