On stochastic study of well capture zones in bounded, randomly heterogeneous media

摘要: [1] Accurately determining well capture zones is of great importance in aquifer cleanup and for the protection drinking water. Earlier models delineating assumed medium to be homogeneous. Recently, stochastic approaches have been applied studying heterogeneous media. The Monte Carlo method commonly used infer probability distribution resulting from multiple realizations interest. In this study, we present a moment-equation-based approach derive time-dependent mean their associated uncertainties. flow statistics are obtained by solving first two moments flow, determined reversely tracking nonreactive particles released at small circle around each pumping well. uncertainty with calculated based on particle displacement covariance Xij nonstationary fields. For comparison purposes, also conducted simulations. It has found that our model results excellent agreement results.