复杂岩体裂隙网络的分形特性与渗流机理

本书从实验和数值两个方面对裂隙岩体的非线性流动和分形特性进行了研究。首先，回顾了前人关于离散裂缝网络（DFN）等效渗透率估算的研究，根据几何特性总结了等效渗透率的数学表达式，对三维裂隙网络的水力特性进行了评述，并与二维裂隙网络的水力特性进行了比较。其次，通过求解Navier-Stokes方程进行高精度流体流动实验和数值模拟，以研究流体在交叉点和裂缝网络中的非线性流动特性，提出了计算水力坡降的经验公式，其预测结果与数值模拟结果吻合较好。最后，对岩石裂隙网络的分形特性进行了表征，并提出了将分形特性与裂隙网络等效渗透率联系起来的分形模型。本书可供相关专业的研究人员借鉴、参考，也可供广大教师教学和学生学习使用。

1 Introduction
1．1 Background
1．2 Objective and thesis structure
2 Mathematical expressions for characterizing equivalent permeability of rock fracture networks ： a review
2．1 Introduction
2．2 2-D fracture networks
2．3 3-D fracture networks
2．4 Concluding remarks and future works
3 Governing equations of fluid flow in rock fractures
3．1 Continuity equation of fluid flow
3．2 Derivation of Navier-Stokes equation
3．3 Governing equations for fluid flow in fractures
3．4 Derivation of the Cubic law
4 Fluid flow properties at single intersections
4．1 Introduction
4．2 Flow test
4．3 Numerical simulation
4．4 Results and analyses
4．5 Quantification of hydraulic properties in crossed fractures
4．6 Conclusions
5 Nonlinear flow properties in two-dimensional rock fracture networks
5．1 Introduction
5．2 Numerical setup
5．3 Parametric study
5．4 Quantification of nonlinearity for DFNs
5．5 Effect of fracture dead-end on nonlinear flow and particle transport
5．6 Conclusions
6 A fractal model for predicting EFNP （Part 1）
6．1 Introduction
6．2 Fractal characteristics of rock fractures
6．3 A fractal model for permeability estimation
6．4 Results and analyses
6．5 Conclusions
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7 A fractal model for predicting EFNP （Part 2）
8 A fractal model for predicting EFNP （Part 3）
9 Summary
References