Spatial Averaging of Hydraulic Conductivity Under Radial Flow Conditions

摘要: Steady-state radial flow in three-dimensional heterogeneous media is investigated using a geostatistical approach. The goal of the study to develop model relationship between corescale hydraulic conductivities measured at wellbore and conductivity surrounding drainage region as by larger scale experiment such pump test. Conductivity point or core-scale modeled stationary multivariate lognormal spatial random function. obtained weighted nonlinear average over point-scale values within. This empirical averaging process shown yield excellent approximations true effective calculated numerical model. for are used determine first second order ensemble moments conductivity. In particular, an expression derived conditional expectation given wellbore. results illustrated case well from sandstone oil reservoir where both core transient-test data same interval available comparison.