The Extended Generalized Radial Flow Model and Effective Conductivity for Truncated Power Law Variograms

• Semi-analytical solution for radial symmetric groundwater flow with fractal dimension. Solver pumping test in heterogeneous media effective transmissivity distribution. Upscaling of fields following truncated power-law variograms. and routines provided as Python package: AnaFlow. Pumping tests are established characterizing spatial average properties aquifers. At the same time, they promising tools to identify heterogeneity characteristics such log-conductivity variance correlation scales. We present extended Generalized Radial Flow Model (eGRF) which combines characterization well geometry an upscaled conductivity media. show that eGRF is a generalization previously solutions, Barker, Butler Neuman. derive conductivities uniform conditions log-normal power law structure through upscaling procedure Coarse Graining. The radial-dependent reflects gradual change impact on drawdowns. then combine model determine solution. provide proof concept by comparing theoretical results Monte Carlo simulations fields. implemented made freely available python code transport simulation analysis.