Stochastic Analysis of Nonlinear Sorption at the Cape Cod Tracer Site

An analytical set of three dimensional expressions are derived for the zeroth, first, and second spatial moments of a nonlinear solute tracer within a heterogeneous aquifer in order to obtain numerical values of the mass in solution, center of mass displacement, and the longitudinal variance. These expressions are then compared to field calculations of the reactive tracer lithium, performed at the Cape Cod, Massachusetts tracer test. Graphical representation comparing field calculations and the set of analytical expressions show good agreement between modeled values and calculated values. A stochastic analysis of the transport and sorption is performed in which all random fields are decomposed into their respective mean and perturbations which accounts for physical and chemical heterogeneities within the aquifer