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Upscaling transmissivity in the near-well region

Jianlin Fu1, J. Jaime Gómez-Hernández1 & Carl L. Axness2

1 Universidad Politécnica de Valencia, Departamento de Ingeniería Hidráulica y Medio Ambiente, Camino de Vera , s/n., E-46022 Valencia, Spain

jianfu@dihma.upv.es

2 Sandia National Laboratorios, MS-0779, PO Box 5800, Albuquerque, New Mexico 87185, USA

Abstract Upscaling transmissivity near the wellbore is expected to be useful for well performance prediction. This article ascertains the requirement of upscaling and presents a scheme to upscale the transmissivity in the near-well region for 2-D steady flow, which extends the approach of Gómez-Hernández & Journel (1994) to the near-well region with radial flow. Several synthetic fields with different stochastic models are chosen to check the efficiency of this scheme. Both flow and transport simulations are carried out in finite confined heterogeneous aquifers to evaluate the results. It is shown that the proposed method improves the ability in predicting well discharge or recharge and solute transport at the coarse scale.

Keywords radial flow; stochastic model; transmissivity; upscaling