Applicability of Kinematic model for mud-flows: An unsteady analysis

Cristo, Cristiana Di; Iervolino, Michele; Moramarco, Tommaso; Vacca, Andrea

doi:10.1016/j.jhydrol.2019.123967

Cited by 7 publications

(2 citation statements)

References 73 publications

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“…Spatial evolution of a small disturbance in an open-channel flow of a power-law fluid at non-uniform initial conditions, up to the occurrence of roll waves in mild and steep slope channels is investigated in [7]. With reference to the propagation of mud flows described by means of a power-law rheology, the potentialities of different approximations of the linearised version of the two-equation model and the simplified kinematic-wave model are studied in [13,14]. The linear stability of shearthinning fluid down an inclined plane in the framework of the generalized Orr-Sommerfeld equation is performed in [23].…”

Section: Introductionmentioning

confidence: 99%

Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane

Чесноков¹

2021

Preprint

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A laminar flow of a thin layer of mud down an inclined plane under the action of gravity is considered. The instability of a film flow and the formation of finite amplitude waves are studied in the framework of both two-dimensional governing equations of a power-law fluid and its depth-averaged hyperbolic simplification. Conditions of roll waves existence for these models are formulated in terms of Whitham criterion. Numerical calculations of the free surface evolution and the roll waves development are performed. It is shown that the roll waves amplitude obtained by the 2D equations is slightly larger than for the 1D model. Moreover, for certain flow parameters, small perturbations of the basic solution grow for the 2D equations and decay for the depth-averaged model. A two-parameter class of exact piecewise-smooth solutions of the 1D model is obtained and a comparison with a numerical solution is made. In the region of these parameters, diagrams of the roll waves existence are constructed.

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Section: Introductionmentioning

confidence: 99%

Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane

Чесноков¹

2021

Preprint

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“…Among other applications, this raises a central issue in the specific case of soil remediation operations, in which the displacing liquid may bypass the contaminated matrix if a natural fracture network is hit during injection ( Lavrov, 2013a ). A great number of yield stress fluids are commonly used as both displacing fluids to enhance mobility ratio and blocking agents to divert flow from highly permeable regions, e.g., polymer solutions, slurries, foams and microemulsion ( Kovscek and Bertin, 2003 ;Silva et al, 2012 ;Di Cristo et al, 2019 ;Forey et al, 2020 ;Omirbekov et al, 2020 ). Consequently, it is of crucial importance to understand the flow behaviour of yield stress fluids as they enter fractures that are rough-walled by nature.…”

Section: Introductionmentioning

confidence: 99%

Determination of the aperture distribution of rough-walled rock fractures with the non-toxic Yield Stress fluids porosimetry method

Castro

Ahmadi-Sénichault

Omari

2020

Advances in Water Resources

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Fractures in geological formations constitute high-conductivity conduits which potentially act as preferential paths during fluid injection in soil remediation and reservoir engineering operations. Recently, the measurement of the pressure drop under different flow rates during the flow of yield stress fluids in porous media has been proposed as the basis for an environmentally friendly method to characterize the Pore Size Distribution. However, the Yield Stress fluids porosimetry Method (YSM) has still not been extended to the characterization of the hydraulic aperture distribution of rough-walled rock fractures. The potential interest of such an extension is intense, considering that the distinct characteristics of rock fractures vs the matrix represent a burden to other traditional porosimetry techniques. In the particular case of X-ray microtomography, time-consuming calibration is often needed, and serious difficulties arise due to beam hardening and reconstruction artifacts. The specific objective of the present investigation is to adapt YSM to the characterization of rough-walled rock fractures. For this purpose, the results of laboratory experiments in which a yield stress fluid was injected through two natural rock fractures were exploited, and the YSM model and algorithm was adapted to the particular topological and geometrical features of flows in fractures. Moreover, numerical experiments were performed at the scale of a single 2D channel with variable aperture to identify the dimension characterized by YSM and decipher the yielding behaviour of the fluids. The present findings show that YSM can be successfully used to characterize the distribution of hydraulic apertures of the flow channels in rough-walled rock fractures. Furthermore, the numerical results revealed that the plug of stagnant fluid is located in the central part of these flow channels and breaks close to the constrictions, forming islands of unyielded fluid.

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Predicting Shear-Thinning Fluid Flows in Porous Media Using Pore Network Modeling: Simulations and Experimental Validation

2023

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Applicability of Kinematic model for mud-flows: An unsteady analysis

Cited by 7 publications

References 73 publications

Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane

Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane

Determination of the aperture distribution of rough-walled rock fractures with the non-toxic Yield Stress fluids porosimetry method

Predicting Shear-Thinning Fluid Flows in Porous Media Using Pore Network Modeling: Simulations and Experimental Validation

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