Complex Variable Boundary Integral Modeling of Groundwater Flow and Transport
Rasmussen, Todd C.
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Solution of difficult groundwater flow and transport problems is made easier when the groundwater equipotentials are coupled with streamlines. This approach, embedded in a new formulation of the Complex Variable Boundary Element Method (CVBEM), is shown to readily solve groundwater flow and transport problems. Examples of this method are presented for recalcitrant problems related to flow under a dam, dipole transport, and regional groundwater flow. The presented technique solves the two-dimensional Laplace equation using Ordinary Least Squares (CVBEMlOLS). This strategy is used to determine unknown boundary values at nodes along the exterior boundary. Once all boundaly values are known, the problem is reformulated in the complex potential plane to solve for the complex position of specified potential-streamline pairs so that the flownet can be constructed. This strategy greatly simplifies the determination of groundwater flownets, capture zones, solute-front migration, and travel times.