|Table of Contents|

Seepage Model and Simulation of Multi-structure and Multi-flow in Fractured Rock Mass(PDF)

《地球科学与环境学报》[ISSN:1672-6561/CN:61-1423/P]

Issue:
2022年第06期
Page:
894-902
Research Field:
纪念刘国昌先生诞辰110周年专辑
Publishing date:

Info

Title:
Seepage Model and Simulation of Multi-structure and Multi-flow in Fractured Rock Mass
Author(s):
WANG En-zhi;  ZHANG Dong;  LIU Xiao-li;  WU Chun-lu;  MA Qian-chi;  WANG Ming-yang;  YAO Wen-li
(State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China)
Keywords:
fractured rock mass;  pipeline flow;  mixed flow;  nonlinear flow;  multi-structure;  multi-regime flow;  mathematical model;  simulation
PACS:
P641; TU457
DOI:
10.19814/j.jese.2022.11022
Abstract:
Multi-structure and multi-regime flow in complex fractured system has always been a difficult problem in the study of fracture rock mass seepage theory. Based on the spatial structure and seepage characteristics of fractured rock mass, a three-dimensional seepage numerical equation was constructed according to the multi-structure medium composed of tubular pores, planar fractures, zonal faults, and massive rock mass. Focusing on the transition and evolution of linear flow, nonlinear flow, laminar flow-transition flow-turbulent flow in single structure, the multi-regime flow equation was derived, and numerical method of multi-structure and multi-regime seepage model was given. By comparing the results of pipeline flow test and three-dimensional fractured network seepage test with the numerical simulation analysis, the rationality and applicability of the model were discussed, and the practicability of large-scale discrete and continuous combined seepage model of rock mass was discussed, which provides a reference for fine simulation of fractured rock mass seepage problem.

References:

[1] 徐中平,周 训,崔相飞,等.岩溶区地下水数值模拟研究进展[J].中国岩溶,2018,37(4):475-483.
XU Zhong-ping,ZHOU Xun,CUI Xiang-fei,et al.Research Advances of Numerical Simulation of Groundwater in Karst Areas[J].Carsologica Sinica,2018,37(4):475-483.
[2] BARENBLATT G I,ZHELTOV I P,KOCHINA I N.Basic Concepts in the Theory of Seepage of Homogeneous Liquids in Fissured Rocks,Strata[J].Journal of Applied Mathematics and Mechanics,1960,24(5):1286-1303.
[3] ATKINSON T C.Diffuse Flow and Conduit Flow in Limestone Terrain in the Mendip Hills,Somerset(Great Britain)[J].Journal of Hydrology,1977,35(1/2):93-110.
[4] 陈崇希.岩溶管道-裂隙-孔隙三重空隙介质地下水流模型及模拟方法研究[J].地球科学,1995,20(4):361-366.
CHEN Chong-xi.Groundwater Flow Model and Si-mulation Method in Triple Media of Karstic Tube-fissure-pore[J].Earth Science,1995,20(4):361-366.
[5] 王恩志.岩体裂隙的网络分析及渗流模型[J].岩石力学与工程学报,1993,12(3):214-221.
WANG En-zhi.Network Analysis and Seepage Flow Model of Fractured Rockmass[J].Chinese Journal of Rock Mechanics and Engineering,1993,12(3):214-221.
[6] WANG E Z,YUE Z Q,THAM L G,et al.A Dual Fracture Model to Simulate Large-scale Flow Throu-gh Fractured Rocks[J].Canadian Geotechnical Journal,2002,39(6):1302-1312.
[7] 赵 坚,赖 苗,沈振中.适于岩溶地区渗流场计算的改进折算渗透系数法和变渗透系数法[J].岩石力学与工程学报,2005,24(8):1341-1347.
ZHAO Jian,LAI Miao,SHEN Zhen-zhong.Improved Converting Permeability Coefficient Method and Variable Permeability Coefficient Method for Seepage Calculation in Karst Region[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1341-1347.
[8] MURAD M A,LOPES T V,PEREIRA P A,et al.A Three-scale Index for Flow in Karst Conduits in Carbonate Rocks[J].Advances in Water Resources,2020,141:103613.
[9] MALENICA L,GOTOVAC H,KAMBER G,et al.Groundwater Flow Modeling in Karst Aquifers:Coupling 3D Matrix and 1D Conduit Flow via Control Volume Isogeometric Analysis:Experimental Verification with a 3D Physical Model[J].Water,2018,10(12):1787.
[10] ZOGHBI C,BASHA H.Simple Transport Models for Karst Systems[J].Journal of Hydrology,2020,588:125046.
[11] ZOGHBI C,BASHA H.Simplified Physically Based Models for Free-surface Flow in Karst Systems[J].Journal of Hydrology,2019,578:124040.
[12] CHEN Y F,LI B Y,LIU M M,et al.A Forchheimer's Law-based Analytical Model for Constant-rate Tests with Linear Flow Pattern[J].Advances in Water Resources,2019,128:1-12.
[13] LIU M M,CHEN Y F,ZHAN H,et al.A Generaliz-ed Forchheimer Radial Flow Model for Constant-rate Tests[J].Advances in Water Resources,2017,107:317-325.
[14] JAVADI M,SHARIFZADEH M,SHAHRIAR K,et al.Critical Reynolds Number for Nonlinear Flow Through Rough-walled Fractures:The Role of Shear Processes[J].Water Resources Research,2014,50(2):1789-1804.
[15] ZHANG Z,NEMCIK J.Fluid Flow Regimes and Nonlinear Flow Characteristics in Deformable Rock Fractures[J].Journal of Hydrology,2013,477:139-151.
[16] ZENG Z,GRIGG R.A Criterion for Non-Darcy Flow in Porous Media[J].Transport in Porous Media,2006,63(1):57-69.
[17] CORNATON F,PERROCHET P.Analytical 1D Dual-porosity Equivalent Solutions to 3D Discrete Single-continuum Models,Application to Karstic Spring Hydrograph Modelling[J].Journal of Hydrology,2002,262(1/2/3/4):165-176.
[18] DE ROOIJ R,PERROCHET P,GRAHAM W.From Rainfall to Spring Discharge:Coupling Conduit Flow,Subsurface Matrix Flow and Surface Flow in Karst Systems Using a Discrete-continuum Model[J].Advances in Water Resources,2013,61:29-41.
[19] SWAMEE P K,SWAMEE N.Full-range Pipe-flow Equations[J].Journal of Hydraulic Research,2010,45(6):841-843.
[20] SHOEMAKER W B,KUNIANSKY E L,BIRK S,et al.Documentation of a Conduit Flow Process(CFP)for MODFLOW-2005[R].Reston:USGS,2008.
[21] 王恩志,孙 役,黄远智,等.三维离散裂隙网络渗流模型与实验模拟[J].水利学报,2002,33(5):37-40.
WANG En-zhi,SUN Yi,HUANG Yuan-zhi,et al.3-D Seepage Flow Model for Discrete Fracture Network and Verification Experiment[J].Journal of Hydraulic Engineering,2002,33(5):37-40.
[22] BORELLI M,PAVLINE B.Approach to the Problem of Underground Water Leakage from the Storages in Karst Regions[C]∥AIME.Hydrologie des Roches Fissures,Proceedings of the Dubrovnik Symposium.Paris:AIME,1965:32-62.
[23] 黄延章.低渗透油层非线性渗流特征[J].特种油气藏,1997,4(1):9-14.
HUANG Yan-zhang.Characteristics of Nonlinear Fl-ow in Low Permeability Reservoir[J].Special Oil & Gas Reservoirs,1997,4(1):9-14.
[24] CAPART H,SILLEN X,ZECH Y.Numerical and Experimental Water Transients in Sewer Pipes[J].Journal of Hydraulic Research,2010,35(5):659-672.

Memo

Memo:
-
Last Update: 2022-11-25