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Research on the Comprehensive Evaluation of Grouting Quality Based on Fuzzy Rock Engineering System and Variable Fuzzy Set Theory

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Abstract

Grouting is a fundamental technology in engineering construction, and its grouting quality evaluation is a critical scientific problem. Proper and reasonable grouting quality evaluation is vital to ensure engineering safety. Standard research on grouting quality evaluation does not consider the uncertainty in the evaluation process and lacks multi-index comprehensive analysis. Because of the above problems, this paper puts forward a comprehensive evaluation method of grouting quality based on FRES-VFS. Firstly, based on the systematic analysis of relevant factors affecting grouting quality, the comprehensive evaluation of grouting quality is divided into three parts: the groutability before grouting, the rationality of design and construction, and the quality evaluation after grouting. Then, twelve indexes, such as the number of joints in the rock mass, the opening degree of the joint in the rock mass, the water permeability before grouting, the water–cement ratio of grout, the grouting pressure, the design parameters, the hole position, the borehole deviation rate, the construction parameters, the permeability, the compactness, and the durability after grouting, are selected to construct the rating index system. Secondly, the weight of each index in the index system is calculated based on the fuzzy rock engineering system (FRES) method. Furthermore, considering the uncertainty in the comprehensive evaluation of grouting quality, the uncertain mapping between evaluation grade and evaluation index is established using variable fuzzy set (VFS) theory. Finally, the comprehensive evaluation method based on FRES-VFS is applied to the Huanggou Pumped Storage Power Station grouting project in China, which provides a new idea for the comprehensive evaluation of grouting quality.

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Abbreviations

CT:

Computed Tomography

AHP:

Analytic Hierarchy Process

D-AHP:

The D-number Analytic Hierarchy Process method

ANFIS:

Adaptive-Network-Based Fuzzy Inference System

FFR:

Fracture Filling Rate

RQD:

Rock Quality Grade

FRES:

Fuzzy Rock Engineering System

RES:

Rock Engineering System

TBM:

Tunnel Boring Machine

VFS:

Variable Fuzzy Set

ESQ:

Expert Semi-Quantitative

FIS:

Fuzzy Inference System

AWV:

Acoustic Wave Velocity

C i :

The cause value

I ij :

The influence of parameters

E i :

The effect value

n A, n B, n C, n D, n E :

The proportion of the number of experts who interact with each other when making group decisions or voting by experts

ω i :

The weight

w before, w d&c, w after :

The index weight of the three parts

w j :

Total weight of the index

w * :

The index weight of the three parts themselves

\(w_{s}^{ * }\) :

Each index’s weight in the three parts

h :

The multiple standard levels

i :

The multiple indexes

c :

The number of levels

x i :

The index

y ih, Y :

The index standard matrix

I ab :

The standard interval matrix of the index

I cd :

The variable range interval matrix of the index

M ih :

The point-valued matrix with a membership degree of 1

μ A (x i)h :

The relative membership degree of the levels

U A (u)h :

The comprehensive relative membership degree of the evaluation object

p :

The variable parameter

α :

The variable optimization criterion parameter

H, H t :

The level eigenvalue of the object

U nor :

The normalized matrix of comprehensive relative membership degree

\(\overline{H}\) :

The final evaluation result

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Funding

This research was supported by the project Funded by the Key projects of natural science basic research program of Shaanxi province (Grant Num. 2018JZ5010). The joint fund project of Natural science basic research program of Shaanxi province and Hanjiang to Weihe River Water Diversion Project Construction Co.Ltd. Shaanxi Province (Grant Num. 2019JLM-55) and the water science plan project of Shaanxi Province (Grant Num. 2018SLKJ-5).

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Authors and Affiliations

  1. State Key Laboratory of Eco-Hydraulics in Northwest Arid Region, Xi’an University of Technology, Xi’an 710048, China

    Fei Tong, Jie Yang, Lin Cheng, XuFei Ma & Gaochao Li

  2. Huadian Electric Power Research Institute Co, Ltd, Hangzhou, 310030, China

    Chengzhi Zheng

Authors
  1. Fei Tong
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  2. Jie Yang
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  3. Chengzhi Zheng
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  4. Lin Cheng
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Correspondence to Fei Tong.

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Tong, F., Yang, J., Zheng, C. et al. Research on the Comprehensive Evaluation of Grouting Quality Based on Fuzzy Rock Engineering System and Variable Fuzzy Set Theory. Int. J. Fuzzy Syst. 25, 1191–1212 (2023). https://doi.org/10.1007/s40815-022-01433-6

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