| Abstract: | A local method is developed for finding the hydraulic head at an arbitrary point of a soil deposit with conductivity varying randomly in space. The method is said to be local since it delivers the hydraulic head at an arbitrary point of a soil deposit directly rather than extracting it from a field solution. The local method always converges to the exact solution, is ideal for parallel computation, and is simple to implement. The method is applied to solve locally one-dimensional transport equations with mixed boundary conditions, calculate corresponding effective conductivity, and examine size effect in specimens with hydraulic conductivity varying randomly in space. |
