Despite the pervasiveness of numerical models for simulating groundwater flow and solute transport, analytical models are still widely used in practice and help provide essential insight into complicated environmental systems. Recent conceptual and mathematical advances have led to the development of improved (semi-)analytical models that can be applied to high-dimensional systems with complicated geometries and boundary conditions. Improved analytical techniques, such as the analytic element method, have enhanced our ability to simulate and understand groundwater-surface water interaction, groundwater dynamics, multi-species/non-linear reactive transport phenomena, regional scale water balances, and unsaturated flow systems.

This session is intended to bring together developers and users of analytical solution methods to present recent contributions. The session will focus on new or significantly improved analytical methods, solution techniques, applications, and integrated numerical/analytical models. Papers on analytical solutions to highly specific problems (i.e., those with limited potential for application in general situations) will be appropriate only when they provide considerable insight into misunderstood phenomena.