Advection and dispersion of contaminant in a permeable medium embedding fractures in which advection velocity is comparatively slow

Report on THMC Modeling of the Near Field Evolution of a Generic Clay Repository: Model Validation and Demonstration

“…A diffusion-advection number was also developed to help ascertain conditions for which diffusive fracture-matrix exchange is negligible compared with advective fracturematrix exchange. The methodology developed by Birkhölzer et al (1993a, b) was used by Rubin et al (1996) to investigate a tracer slug injection in a fractured rock with permeable rock matrix, and by Rubin et al (1997) to investigate transport for cases with slow advective velocities in the fracture. Odling and Roden (1997) used a numerical model to study transport in fracture networks embedded in a permeable rock matrix, focusing on the role the permeable rock matrix plays when fracture networks have limited connectivity, including fractures that are disconnected from the network.…”

A modelling investigation of solute transport in permeable porous media containing a discrete preferential flow feature

“…In recent decades, considerable research attention has been given to the transport of solutes in aquifers of low-permeability rock matrices containing PFFs, where the transport of solutes occurs primarily via advection and dispersion within the PFF, and exchanges between PFFs and the rock matrix occur by molecular diffusion (e.g. Grisak and Pickens, 1981;Sudicky and Frind, 1982;Himmelsbach et al, 1998;Bense et al, 2013, Gassiat et al, Rubin andBuddemeier (1996), Rubin et al (1997), Odling and Roden (1997), Sonnenborg et al (1999) and Houseworth et al (2013) . Birkhölzer et al (1993a;1993b ) presented an analytical model to describe advection-dominated solute transport (i.e.…”

“…The methodology of Birkhölzer et al (1993a;1993b ) was employed by Rubin et al (1997) to examine solute transport in permeable media containing PFFs when the flow velocities inside PFFs are slow (i.e. the flow velocity inside the PFF is of the same order of magnitude as the matrix flow velocity).…”

“…the flow velocity inside the PFF is of the same order of magnitude as the matrix flow velocity). They found that the larger the deviation of the matrix-PFF velocity ratio from unity, the greater the effective dispersivity of the fractured permeable formation ( Rubin et al, 1997 ). Odling and Roden (1997) used numerical modelling to study 2D flow and solute transport in permeable rock containing PFFs arranged according to naturally occurring geometries.…”

Application of analytical diffusion models to outcrop observations: Implications for mass transport by fluid flow through fractures

“…The mass transfer and the form of redox fronts associated with diffusion and fluid flow in rock fractures was investigated by analytical modeling [ Grisak and Pickens , ; Grisak et al ., ; Tang et al ., ; Sudicky and Frind , ; Rubin et al ., ; Park et al ., ; Wörman et al ., ; Houseworth , ; Sidborn and Neretnieks , ; Houseworth et al ., ; Rajaram and Arshadi , ], experimental work [ Hölttä et al ., ; Trivedi and Babadagli , ; Hatiboglu and Babadagli , ], and numerical modeling [ Steefel et al ., ; Spiessl et al ., ; MacQuarrie et al ., ; Vujevic and Graf , ; Watanabe and Kolditz , ]. Ortoleva et al .…”