Abstract
Absolute refusal is in practice impossible to achieve and is substituted by the minimal flow criterion. Grouting is stopped when the flow rate is less than a predefined quantity known as the flow rate limit. The majority of the grouting models and procedures do not mention how to calculate the flow rate limit if they do not specify empirical values. A parametric relation for the flow rate limit is obtained in this note. It binds the flow rate to the target, effective pressure, fracture opening, mix rheology and borehole. It is a flexible relation from which it is deduced that there is no need to use either the highest injection pressure or a constant pressure to attain the target. The monitored pressure can be used transforming the flow rate limit into a Running Limit. A practical case will illustrate the use of the running limit for a back-analysis of the log data of a grouting stage at La Yesca hydroelectric project. Subsequently, the minimal flow criterion will be inserted in three of the main grouting models RTGC, GIN and ALT, which will require special handling to preserve the specifications of each model.
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Abbreviations
- A :
-
Radius of the injection hole
- c :
-
Yield stress
- d :
-
Spread of the mix
- d i :
-
Spread in the i-th fracture
- d g :
-
Spread in the largest fracture
- d t :
-
Spread in the thinnest fracture
- D :
-
Target
- F :
-
Function
- H :
-
Half-thickness of a fracture
- H i :
-
Half-thickness of the i-th fracture
- H g :
-
Half-thickness of the largest fracture
- H t :
-
Half-thickness of the thinnest injectable fracture
- i :
-
Index number
- k :
-
Darcy’s conductivity of the mix
- L :
-
Length of the injection segment
- L g :
-
Lugeon conductivity of the mix
- L w :
-
Lugeon conductivity of water
- L wg :
-
Apparent Lugeon of water deduced from the Lugeon conductivity of the mix
- Lu:
-
Lugeon unit
- N :
-
Number of injectable fractures
- P :
-
Effective injection pressure
- Q :
-
Injection flow rate
- Q L :
-
Flow rate limit
- Q T :
-
Total flow rate
- \(\bar{Q}\) :
-
Non-dimensional flow rate
- R :
-
Reach, maximal spread at a predefined PV
- S :
-
Span, maximal spread at a predefined P
- t :
-
Time
- V :
-
Volume, marsh efflux time
- V g :
-
Marsh efflux time of the mix
- V w :
-
Marsh efflux time of water
- V 0 :
-
Brink marsh time
- γ :
-
Specific weight of the mix
- γ w :
-
Specific weight of water
- μ :
-
Dynamic viscosity of the mix
- μ w :
-
Dynamic viscosity of water
- η g :
-
Kinematic viscosity of the mix
- η w :
-
Kinematic viscosity of water
- π :
-
Pi number
- AGS:
-
Association of Geotechnical and Geo-environmental Specialists
- ALT:
-
Apparent Lugeon Theory
- EN:
-
European Standards, European Normatives
- GIN:
-
Grouting Intensity Number
- HK:
-
Hong Kong
- ISRM:
-
International Society of Rock Mechanics
- MFC:
-
Minimal Flow Criterion
- PEG:
-
Pre-Excavation Grouting
- RTGC:
-
Real Time Grouting Control
- UFC:
-
Unified Facilities Criteria
- USACE:
-
US Army Corps of Engineer
- USDOD:
-
US Department of Defense
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Acknowledgements
Zhyie Zhao is acknowledged for revealing and translating the refusal criterion of the code design of railway tunnels in China, and Hakan Stille for reviewing the RTGC section of this manuscript.
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The authors are members of the ISRM Commission on grouting. They declare no conflict of interest.
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El Tani, M., Lopez-Molina, J. Running Limit and Refusal in Rock Fractures Grouting. Rock Mech Rock Eng 53, 2201–2214 (2020). https://doi.org/10.1007/s00603-019-02024-y
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DOI: https://doi.org/10.1007/s00603-019-02024-y