An FEM/VOF hybrid formulation for fracture grouting modelling

Chen, Tielin; Zhang, Liang-yi; Zhang, Dingli

doi:10.1016/j.compgeo.2014.02.002

Cited by 51 publications

(17 citation statements)

References 38 publications

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“…where ρ is the slurry density, g is the acceleration due to gravity, dx is the length of the element, θ is the azimuth of the slurry diffusion, dθ is the argument of the microunit, P is the slurry pressure, and dP is the increase in the slurry pressure. We substitute equation 7into equation (8) to get…”

Section: Slurry Transport Equationmentioning

confidence: 99%

“…Lombardi [6] and Baker [7] deduced the maximum diffusion radius of a Bingham fluid and a Newtonian fluid in rock mass fractures, respectively. Chen et al [8] simulated the fracture grouting diffusion process using the finite element method (FEM) and volume of fluid (VOF) method. Zou et al [9] and Wittlke [10] also proposed similar theories on this problem.…”

Section: Introductionmentioning

confidence: 99%

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Study of the Mechanism of Fracture Grouting in Deeply Buried Rock Strata Based on Bingham Fluid Slurry

Cheng

Lin

et al. 2019

Advances in Civil Engineering

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In view of the fact that the theory of fracture grouting in deeply buried rock strata seriously lags behind engineering practices, a circular fracturing diffusion model of a single fracture was established by considering numerous influencing factors of deeply buried rock strata, such as the crustal stress characteristics, rock mechanical properties, and time-varying characteristics of the serous viscosity. By setting the stress intensity factor KI equal to the material fracture toughness KIC at the fracture tip as the criterion for fracturing, the diffusion equation for the fracture grouting was derived and verified experimentally. Theoretical analysis shows that the fracture grouting pressure P0 is linearly proportional to the depth of the strata H and the lateral pressure coefficient k. The time-varying characteristics of the serous viscosity have an important influence on the grouting pressure and the diffusion radius. Its early impact is small, while its later impact is large. The diffusion radius of the grouting is indirectly proportional to the grouting pressure and the grouting flow rate. In order to increase the diffusion radius of the grouting, the grouting pressure and the grouting flow rate should be increased simultaneously. In order, the main factors influencing the diffusion radius of the fracture grouting are the time-varying characteristics of the serous viscosity, the grouting pressure, the grouting flow rate, and the depth of the strata.

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Section: Slurry Transport Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of the Mechanism of Fracture Grouting in Deeply Buried Rock Strata Based on Bingham Fluid Slurry

Cheng

Lin

et al. 2019

Advances in Civil Engineering

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“…According to the cubic law for Newtonian flow in the fracture [32], the averaged velocities in the x-and y-directions are separately given as…”

Section: Analytical Expressions For -Derivatives Of Velocitymentioning

confidence: 99%

A Quasi‐3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method

Hao

Zhong

et al. 2019

Complexity

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The purpose of the present work is to develop a quasi-3D numerical method that can be used to study the diffusion mechanism of grout injection in a rock fracture based on the collocated structured grid of the finite volume method (FVM). Considering the characteristics of fracture in geometry that the aperture is much less than its length and width, the Hele-Shaw model is introduced to deduce the z-derivatives of velocities u and v at walls, which is a function of the relevant average velocity and the fracture aperture. The traditional difference scheme for the diffusive term is partly substituted with the derived analytical expressions; hence a three-dimensional problem of grout flow in the parallel fracture can be transformed into a two-dimensional one that concerns fracture aperture. The new model is validated by the analytical solution and experimental data on three cases of grouting in the parallel-plate fracture. Compared with the results from ANSYS-Fluent software, the present model shows better agreement with the analytical solution for the distribution of pressure and velocity. Furthermore, the new model needs less grid unit, spends less time, but achieves greater accuracy. The complexity of the grout flow field in the rock fracture is reduced; thus the computational efficiency can be improved significantly.

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“…Moreover, the relationship between the shape of grout vein and grouting parameters and characteristics of grouted stratum had been established. Sun et al [17,18] and Chen et al [19] studied the relationship between grout material parameters, grouting design parameters, and distribution rule of grout veins in fracture grouting when considering grout material as a Bingham fluid. They also proposed that the grouting pressure is the main controlling factor of fracture grouting.…”

Section: Introductionmentioning

confidence: 99%

Model Test on Segmental Grouting Diffusion Process in Muddy Fault of Tunnel Engineering

Liu

Zhang

et al. 2020

Geofluids

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In order to realize the diffusion law of segmental grouting in muddy fault of tunnel engineering, a three-dimensional grouting diffusion simulation test has been done. Three times of grouting operation have been done for three adjacent sections in grouting pipe. Grouting pressure, injection rate, soil pressure field, and seepage pressure field have been real-time monitored in three grouting stages. The effect of segmental grouting operation on soil pressure field and effective stress field has been analyzed. Results show that previous grouting operation can affect later grouting operation. Due to previous grouting operation, the grouted stratum can be compacted and grouting diffusion will conquer greater resistance in later grouting stages. Correspondingly, grouting pressure increases and injection rate decreases in the later grouting stage. There exists a limited influence range for a single grouting operation. For every grouting stage, soil pressure and effective stress in the section which the injection hole locates in are affected effectively by grouting operation. By contrast, soil pressure and effective stress in section away from injection hole are affected relatively weakly by grouting operation. With distance to injection hole increasing, compaction degree and reinforcement effect of grouted muddy fault decay in space. Multisegmental grouting method has significant advantages over single grouting method. Ineffectively compacted area by previous grouting operation can be effectively compacted by later grouting operation from adjacent injection hole. As a result, uniformity of grouting reinforcement effect can be improved, and weakly reinforcement area can be reduced.

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An FEM/VOF hybrid formulation for fracture grouting modelling

Cited by 51 publications

References 38 publications

Study of the Mechanism of Fracture Grouting in Deeply Buried Rock Strata Based on Bingham Fluid Slurry

Study of the Mechanism of Fracture Grouting in Deeply Buried Rock Strata Based on Bingham Fluid Slurry

A Quasi‐3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method

Model Test on Segmental Grouting Diffusion Process in Muddy Fault of Tunnel Engineering

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