Dilution tests in a low-permeability fractured aquifer: matrix diffusion effect
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Updated: Jul 16, 2026

A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
Published on: February 23, 2018
Anat Bernstein1, Eilon Adar, Alexander Yakirevich
1Department of Environmental Hydrology and Microbiology, Zuckerberg Institute for Water Research, and Jacob Blaustein Insitutes for Desert Research, Ben-Gurion University of the Negev, Sede-Boger Campus 84990, Israel. anatbern@bgu.ec.il
Abstract:
A point dilution test is commonly used in single-borehole tracer experiments designed to determine the Darcy velocity of a formation. This method is based on the concept that, in a borehole, a tracer's concentration declines as a consequence of the water flux. Based on theoretical simulations and field observations, this study indicates that for low-permeability, yet highly porous fractured formations, the common practice of excluding the effect of diffusive mass flux between the dissolved tracer within the borehole and the surrounding matrix may lead to significant errors in the assessment of the Darcy velocity. This conclusion was confirmed by a model adapted to simulate experimental data collected from a tracer test performed in a vertical, large-diameter (25-cm) borehole drilled along a subvertical fracture intersecting a chalk formation.
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