Fluid flow and solute transport in a network of channels

1993 ◽  
Vol 14 (3-4) ◽  
pp. 163-192 ◽  
Author(s):  
Luis Moreno ◽  
Ivars Neretnieks
Keyword(s):  
Geofluids ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Min Wang ◽  
Qifeng Guo ◽  
Pengfei Shan ◽  
Meifeng Cai ◽  
Fenhua Ren ◽  
...  

The effects of roughness and normal stress on hydraulic properties of fractures are significant during the coupled shear flow test. Knowing the laws of fluid flow and solute transport in fractures is essential to ensure the nature and safety of geological projects. Although many experiments and numerical simulations of coupled shear flow test have been conducted, there is still a lack of research on using the full Navier-Stokes (N-S) equation to solve the real flow characteristics of fluid in three-dimensional rough fractures. The main purpose of this paper is to study the influence of roughness and normal stress on the fluid flow and solute transport through fractures under the constant normal stiffness boundary condition. Based on the corrected successive random addition (SRA) algorithm, fracture surfaces with different roughness expressed by the Hurst coefficient ( H ) were generated. By applying a shear displacement of 5 mm, the sheared fracture models with normal stresses of 1 MPa, 3 MPa, and 5 MPa were obtained, respectively. The hydraulic characteristics of three-dimensional fractures were analyzed by solving the full N-S equation. The particle tracking method was employed to obtain the breakthrough curves based on the calculated flow field. The numerical method was verified with experimental results. It has been found that, for the same normal stress, the smaller the fracture H value is (i.e., more tough the fracture is), the larger the mechanical aperture is. The ratio of hydraulic aperture to mechanical aperture ( e h / e m ) decreases with the increasing of normal stress. The smaller the H value, the effect of the normal stress on the ratio e h / e m is more significant. The variation of transmissivity of fractures with the flow rate exhibits similar manner with that of e h / e m . With the normal stress and H value increasing, the mean velocity of particles becomes higher and more particles move to the outlet boundary. The dispersive transport behavior becomes obvious when normal stress is larger.


2002 ◽  
Vol 1 (1) ◽  
pp. 68-88 ◽  
Author(s):  
Karsten Pruess ◽  
Steve Yabusaki ◽  
Carl Steefel ◽  
Peter Lichtner

2020 ◽  
Vol 10 (2) ◽  
pp. 20190045 ◽  
Author(s):  
Lauren Hyndman ◽  
Sean McKee ◽  
Nigel J. Mottram ◽  
Bhumika Singh ◽  
Steven D. Webb ◽  
...  

In recent years, there has been a move away from the use of static in vitro two-dimensional cell culture models for testing the chemical safety and efficacy of drugs. Such models are increasingly being replaced by more physiologically relevant cell culture systems featuring dynamic flow and/or three-dimensional structures of cells. While it is acknowledged that such systems provide a more realistic environment within which to test drugs, progress is being hindered by a lack of understanding of the physical and chemical environment that the cells are exposed to. Mathematical and computational modelling may be exploited in this regard to unravel the dependency of the cell response on spatio-temporal differences in chemical and mechanical cues, thereby assisting with the understanding and design of these systems. In this paper, we present a mathematical modelling framework that characterizes the fluid flow and solute transport in perfusion bioreactors featuring an inlet and an outlet. To demonstrate the utility of our model, we simulated the fluid dynamics and solute concentration profiles for a variety of different flow rates, inlet solute concentrations and cell types within a specific commercial bioreactor chamber. Our subsequent analysis has elucidated the basic relationship between inlet flow rate and cell surface flow speed, shear stress and solute concentrations, allowing us to derive simple but useful relationships that enable prediction of the behaviour of the system under a variety of experimental conditions, prior to experimentation. We describe how the model may used by experimentalists to define operating parameters for their particular perfusion cell culture systems and highlight some operating conditions that should be avoided. Finally, we critically comment on the limitations of mathematical and computational modelling in this field, and the challenges associated with the adoption of such methods.


2003 ◽  
Vol 807 ◽  
Author(s):  
L. Liu ◽  
I. Neretnieks

ABSTRACTIn this paper, we are concerned with a specific scenario where a large fracture intersects, at its center, a canister that contains spent nuclear fuel. Assuming that a nuclide is free to release from the canister into groundwater flowing through the fracture, a detailed formulation of the volumetric flow rate and the equivalent flow rate are made for the parallel plate model. The formulas proposed have been validated by numerical examinations; they are not only simple in forms but also universal in applications where the flow may be taken normal, inclined or parallel to the axis of the canister. Of great importance, they provide a convenient way to predict the average properties of fluid flow and solute transport through a single fracture with spatially variable apertures.


1994 ◽  
Vol 74 (1) ◽  
pp. 163-219 ◽  
Author(s):  
B. Rippe ◽  
B. Haraldsson

In this review we summarized the evidence favoring the concept that the major plasma proteins are passively transported across vascular walls through water-filled pathways by means of convection and diffusion. With regard to solute transport, a majority of microvascular walls seems to show a bimodal size selectivity. This implies the presence of a high frequency of functional small pores, restricting proteins, and an extremely low number of non-size-selective pathways, permitting the passage of macromolecules from blood to tissue, here denoted large pores. We discussed the general behavior of such a heteroporous system. A major consequence of two-pore heteroporosity is that large-solute transport must mainly occur due to convection through large pores at low filtration rates, that is, at normal or even zero lymph flows. Indeed, convection must be the predominating transport mode for most solutes across large pores when the net filtration rate is zero. Under these (transient) conditions, the convective leak of macromolecules across large pores will be counterbalanced by absorption of essentially protein-free fluid through protein-restrictive pores. In a heteroporous membrane, proteins can thus be transported by solvent drag across vascular walls in the absence of a net convection. Normally the steady-state transcapillary fluid flow (lymph flow) is about equally partitioned among small and large pores, which makes lymph essentially a "half and half" mixture of protein-free ultrafiltrate and plasma. With increasing fluid flows, however, the plasma filtrate will be progressively diluted, eventually reaching a protein concentration largely in proportion to the fractional hydraulic conductance accounted for by the large pores (alpha L). Under these high lymph flow conditions, not only the large-pore transport but also the small-pore transport (of smaller macromolecules) will become convective. At low lymph flows, however, the small-pore transport of smaller macromolecules is usually mostly diffusive. An important implication of capillary heteroporosity is that single-pore formalism is inadequate for correctly evaluating the capillary sieving characteristics. With the use of homoporous transport formalism, the "lumped" macromolecular PS and sigma will therefore vary as a function of transcapillary fluid flow (Jv). However, it is approximately correct to use single-pore formalism for conditions when Jv is very high during steady state. Thus, if minimal sieving coefficients can be measured for macromolecules, then these values will accurately reflect (1 - sigma).(ABSTRACT TRUNCATED AT 400 WORDS)


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