Hydrodynamic control of tracer retention in heterogeneous rock fractures
2003 (English)In: Water resources research, ISSN 0043-1397, E-ISSN 1944-7973, Vol. 39, no 5, 1130-1139 p.Article in journal (Refereed) Published
We investigate the statistical properties of a Lagrangian random variable beta[T/L], which has been shown to quantify hydrodynamic impact on retention [Cvetkovic et al., 1999], using Monte Carlo simulations of flow and transport in a single fracture. The "local cubic law'' of water flow is generalized to a power law Qsimilar tob(n), where Q is the flow rate, b is the half aperture, and nless than or equal to3. Simulations of flow and particle transport are carried out assuming "local cubic law'' (n=3) and "local quadratic law'' (n=2), and for two typical flow configurations: uniform flow and radially converging flow. We find that beta is related to tau as betasimilar totau(m), where m is dependent on the power n and the configuration of flow and transport. Simulation results for uniform flow indicate that betasimilar totau(n/n-1) for a small source section; as the source section increases, we have the convergence to betasimilar totau. For radially converging flow, we find betasimilar totau for a small source section and a convergence to beta=const for an increasing source section. Simulation results for both flow configurations are consistent with the results for a homogeneous fracture. The results for a homogeneous fracture provide reasonable bounds for simulated beta. The correlation between beta and Q is relatively weak for all cases studied.
Place, publisher, year, edition, pages
2003. Vol. 39, no 5, 1130-1139 p.
Flow, Fracture, Matrix diffusion, Retention, Transport
IdentifiersURN: urn:nbn:se:kth:diva-8791DOI: 10.1029/2002WR001354ISI: 000183111100001OAI: oai:DiVA.org:kth-8791DiVA: diva2:14220
QC 201006242005-11-222005-11-222010-09-16Bibliographically approved