HR: 1340h
AN: U43B-1126 [Abstracts]
TI: Flow Dimension and Anomalous Diffusion Coefficient as Potential Indicators of the Connectivity of a Fractured Aquifer
AU: * Cello, P A
EM: cello@uiuc.edu
AF: UIUC, Civil and Environmental Engineering (CEE) Department, 205 N. Mathews, Urbana, IL
61801, United States
AU: Walker, D D
EM: ddwalker@uiuc.edu
AF: Illinois State Water Survey, 2204 Griffith Dr., Champaign, IL 61820, United States
AU: Valocchi, A J
EM: valocchi@uiuc.edu
AF: UIUC, Civil and Environmental Engineering (CEE) Department, 205 N. Mathews, Urbana, IL
61801, United States
AU: Loftis, B
EM: bloftis@purdue.edu
AF: Purdue Universitu, Yong building west lafayette campus, Purdue, IN 47906, United States
AB:
The General Radial Flow (GRF) interpretation of hydraulic tests presented by Barker (1988) has been increasingly
applied in recent years due to its capability to address the complex geometry of fractured rock aquifers. This
approach considers an additional parameter, namely the flow dimension n, to describe the flow geometry. While
the published literature has addressed the analysis and characterization of connectivity in a fracture network
system (Bour and Davy, 1997), few studies have related fracture connectivity to the behavior of pressure
transients and the flow dimension. Studies relating the flow dimension to transport processes are scarcer still.
The present work analyzes the connectivity of a fracture network system versus the behavior of the flow dimension
and the anomalous diffusion coefficient. A discrete linear feature network with lengths distributed as a power-law
is used to represent the connectivity of a fractured rock aquifer. An intensive Monte Carlo simulation of transient
hydraulic tests then examines the effect of the connectivity on the behavior of the flow dimension and the diffusivity
of the system at different spatial scales of the aquifer test. Preliminary results show that the behavior of the flow
dimension and the diffusivity coefficient depend on the fracture length distribution, hence on the connectivity
regime of the fracture network system. While the flow dimension stabilizes to a value less than the Euclidean
dimension at late time of the aquifer test and for a particular connectivity regime, the diffusivity coefficient confirms
the non-fickean behavior of the transport processes. Therefore, both the flow dimension and diffusivity coefficient
could be used as potential indicators to identify connectivity regimes that better represent the observed behavior
of flow and transport in fracture media.
DE: 9800 GENERAL OR MISCELLANEOUS
SC: Union [U]
MN: 2007 Fall Meeting