ESTIMATION FOR REPRESENTATIVE PERMEABILITY OF LARGE REGION GROUNDWATER FLOW SYSTEM BY COMPLEX ANALYSIS

Abstract

 Understanding of representative permeability of large region groundwater flow system is important for accurate calculation on an alluvial fan. I applied a method to estimate permeability from seepage geometry by using complex analysis, Schwarz-Christoffel transformation or Joukowsky function. This analysis plays a role to associate physical space with complex potential space, which is easy to describe groundwater flow. Inputting computer-simulated hydraulics data, large-region permeability is the value from 10^-3 to 10^-4 order. This result is 1/10 for permeability under Dupuit-Forchheimer assumption, and it is almost as same as or ten times the permeability of drilling survey. The estimation by complex analysis delivers adequate permeability value without using the unknown aquifer stratum thickness.