BOUNDARY ELEMENT SOLUTION FOR STOCHASTIC GROUNDWATER-FLOW - RANDOM BOUNDARY-CONDITION AND RECHARGE

This paper presents an integral equation technique for solving stochastic boundary value problems in groundwater flow. The aquifer considered has deterministic hydraulic conductivity but is subject to random boundary condition and domain recharge. Using the distribution of fictitious sources and dipoles, stochastic integral equations for the mean and covariance of head and flux are derived. An iterative boundary element technique is applied for numerical solution. Two one-dimensional examples are examined and compared with exact solution. A two-dimensional problem is then presented.