Details
| Translated title of the contribution | Numerical Simulation and Analytical Solution of Hydraulic Fracturing in Sedimentary Rock Tunnels |
|---|---|
| Original language | Chinese |
| Pages (from-to) | 33-44 |
| Number of pages | 12 |
| Journal | Modern Tunnelling Technology |
| Volume | 55 |
| Issue number | 5 |
| Publication status | Published - 1 Oct 2018 |
| Externally published | Yes |
Abstract
In the whole process of survey, construction and operation of rock tunnels, hydraulic fracturing is a mechanical mechanism that needs to be focused. In this paper, numerical simulation for fracture damage constitutive model and analytical formula were used to study the hydraulic fracturing of stratified sedimentary rocks. Based on multi-field coupling finite element analysis software, and combining the linear elastic fracture criterion with the damage constitutive model, a seepage-stress-rock damage coupling model is redeveloped, in which micro cracks can be characterized, and applied to study the hydraulic fracturing of rock mass in the saturated seepage process. By introducing dispersed parallel micro cracks for simulating the beddings of sedimentary rocks, the sedimentary rock cylinder model was established to simulate the hydraulic fracturing behaviors under injecting water into apertures and acting of confining pressure, in order to study the fracturing failure modes and seepage distribution patterns. In addition, the quantitative relationship between the critical water pressure for initial cracking and the confining pressure, the pore diameter of specimens was discussed by changing the pore diameter and confining pressure. In order to verify the cracking initiation pressure law obtained by numerical simulation, based on the seepage theory and the basic equation of elastic mechanics, and combined with the tensile failure mode obtained in the simulation, the formula of critical water pressure for cracking initiation in the rock cylinder with uniform linear elastic seepage was derived. The results of analytical solution and numerical calculation show that the cracking initiation pressure obtained by the two methods is in good agreement with the deviation within 3%. The larger the confining pressure, the larger the cracking initiation pressure, with the approximate linear relationship. The smaller the aperture, the larger the cracking initiation pressure, with the approximate negative slope linear relationship in a certain range. At the same time, the cracking initiation pressure by the analytical solution is always slightly greater than that of the numerical solution, which reflects the impact caused by the difference of the basic material hypothesis between the analytical method and the numerical method. When the material property parameters are consistent, the cracking initiation pressure based on the assumption of ideal linear elastomer will be greater than that of the material introduced into the initial damage bedding.
Keywords
- Analytical solution, Hydraulic, Sedimentary rock, Simulation of damage
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
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In: Modern Tunnelling Technology, Vol. 55, No. 5, 01.10.2018, p. 33-44.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - 沉积岩水力压裂问题数值模拟及解析解研究
AU - Wang, Zeyu
AU - Zhuang, Xiaoying
PY - 2018/10/1
Y1 - 2018/10/1
N2 - In the whole process of survey, construction and operation of rock tunnels, hydraulic fracturing is a mechanical mechanism that needs to be focused. In this paper, numerical simulation for fracture damage constitutive model and analytical formula were used to study the hydraulic fracturing of stratified sedimentary rocks. Based on multi-field coupling finite element analysis software, and combining the linear elastic fracture criterion with the damage constitutive model, a seepage-stress-rock damage coupling model is redeveloped, in which micro cracks can be characterized, and applied to study the hydraulic fracturing of rock mass in the saturated seepage process. By introducing dispersed parallel micro cracks for simulating the beddings of sedimentary rocks, the sedimentary rock cylinder model was established to simulate the hydraulic fracturing behaviors under injecting water into apertures and acting of confining pressure, in order to study the fracturing failure modes and seepage distribution patterns. In addition, the quantitative relationship between the critical water pressure for initial cracking and the confining pressure, the pore diameter of specimens was discussed by changing the pore diameter and confining pressure. In order to verify the cracking initiation pressure law obtained by numerical simulation, based on the seepage theory and the basic equation of elastic mechanics, and combined with the tensile failure mode obtained in the simulation, the formula of critical water pressure for cracking initiation in the rock cylinder with uniform linear elastic seepage was derived. The results of analytical solution and numerical calculation show that the cracking initiation pressure obtained by the two methods is in good agreement with the deviation within 3%. The larger the confining pressure, the larger the cracking initiation pressure, with the approximate linear relationship. The smaller the aperture, the larger the cracking initiation pressure, with the approximate negative slope linear relationship in a certain range. At the same time, the cracking initiation pressure by the analytical solution is always slightly greater than that of the numerical solution, which reflects the impact caused by the difference of the basic material hypothesis between the analytical method and the numerical method. When the material property parameters are consistent, the cracking initiation pressure based on the assumption of ideal linear elastomer will be greater than that of the material introduced into the initial damage bedding.
AB - In the whole process of survey, construction and operation of rock tunnels, hydraulic fracturing is a mechanical mechanism that needs to be focused. In this paper, numerical simulation for fracture damage constitutive model and analytical formula were used to study the hydraulic fracturing of stratified sedimentary rocks. Based on multi-field coupling finite element analysis software, and combining the linear elastic fracture criterion with the damage constitutive model, a seepage-stress-rock damage coupling model is redeveloped, in which micro cracks can be characterized, and applied to study the hydraulic fracturing of rock mass in the saturated seepage process. By introducing dispersed parallel micro cracks for simulating the beddings of sedimentary rocks, the sedimentary rock cylinder model was established to simulate the hydraulic fracturing behaviors under injecting water into apertures and acting of confining pressure, in order to study the fracturing failure modes and seepage distribution patterns. In addition, the quantitative relationship between the critical water pressure for initial cracking and the confining pressure, the pore diameter of specimens was discussed by changing the pore diameter and confining pressure. In order to verify the cracking initiation pressure law obtained by numerical simulation, based on the seepage theory and the basic equation of elastic mechanics, and combined with the tensile failure mode obtained in the simulation, the formula of critical water pressure for cracking initiation in the rock cylinder with uniform linear elastic seepage was derived. The results of analytical solution and numerical calculation show that the cracking initiation pressure obtained by the two methods is in good agreement with the deviation within 3%. The larger the confining pressure, the larger the cracking initiation pressure, with the approximate linear relationship. The smaller the aperture, the larger the cracking initiation pressure, with the approximate negative slope linear relationship in a certain range. At the same time, the cracking initiation pressure by the analytical solution is always slightly greater than that of the numerical solution, which reflects the impact caused by the difference of the basic material hypothesis between the analytical method and the numerical method. When the material property parameters are consistent, the cracking initiation pressure based on the assumption of ideal linear elastomer will be greater than that of the material introduced into the initial damage bedding.
KW - Analytical solution
KW - Hydraulic
KW - Sedimentary rock
KW - Simulation of damage
UR - http://www.scopus.com/inward/record.url?scp=85062833128&partnerID=8YFLogxK
U2 - 10.13807/j.cnki.mtt.2018.05.005
DO - 10.13807/j.cnki.mtt.2018.05.005
M3 - Article
AN - SCOPUS:85062833128
VL - 55
SP - 33
EP - 44
JO - Modern Tunnelling Technology
JF - Modern Tunnelling Technology
SN - 1009-6582
IS - 5
ER -