基于混合物理论的饱和孔隙-裂隙岩体本构模型
胡亚元,叶飞

Constitutive model of saturated fractured porous rock mass based on mixture theory
Yayuan HU,Fei YE
表 3 饱和孔隙-裂隙岩体的参数
Tab.3 Parameters of saturated fractured porous rock mass
参数计算公式数值文献[6]计算公式文献[6]数值
${C_{{\text{HH}}}}$/$ {\text{GP}}{{\text{a}}^{ - 1}} $$ 3{\varphi _{{\text{SP0}}}}(1 - 2{\mu _{\text{r}}})/{E_{\text{r}}} - \varphi _{{\text{SP0}}}^2{C_{{\text{RS}}}}/{\varphi _{{\text{S0}}}} $0.092$ 3(1 - 2{\mu _{\text{r}}})/{E_{\text{r}}} $0.125
${C_{{\text{CC}}}}$/$ {\text{GP}}{{\text{a}}^{ - 1}} $$ 1/({{\text{k}}_{\text{n}}}d)+({\varphi _{{\text{F0}}}}{C_{{\text{HH}}}}/{\varphi _{{\text{SP0}}}}) $0.630$ 1/({{\text{k}}_{\text{n}}}d) $0.625
${C_{{\text{SS}}}}$/$ {\text{GP}}{{\text{a}}^{ - 1}} $$ {C_{{\text{RS}}}}/{\varphi _{{\text{S0}}}} $0.033
$ {C_{\text{b}}} $/$ {\text{GP}}{{\text{a}}^{ - 1}} $$ {C_{{\text{CC}}}}+{C_{{\text{HH}}}}+{C_{{\text{SS}}}} $0.755$ {C_{{\text{CC}}}}+{C_{{\text{HH}}}} $0.75
$ {C_{\text{M}}} $/$ {\text{GP}}{{\text{a}}^{ - 1}} $$ {C_{{\text{HH}}}}+{\varphi _{{\text{SP0}}}}{C_{{\text{SS}}}} $0.123$ {C_{{\text{HH}}}} $0.125
$ G_{\text{b}}^{\text{M}} $/$ {\text{GPa}} $$ {E_{\text{r}}}/2(1+{\mu _{\text{r}}}) $6$ {E_{\text{r}}}/2(1+{\mu _{\text{r}}}) $6
$ {G_{{\text{CC}}}} $/$ {\text{GPa}} $$ 3(1 - 2{v_{\text{j}}})/[2(1+{v_{\text{j}}}){C_{{\text{CC}}}}] $1.19$ 3(1 - 2{v_{\text{j}}})/[2(1+{v_{\text{j}}}){C_{{\text{CC}}}}] $1.2
$ {G_{\text{b}}} $/$ {\text{GPa}} $$ {\varphi _{{\text{SP0}}}}G_{\text{b}}^{\text{M}}{G_{{\text{CC}}}}/({G_{{\text{CC}}}}+{\varphi _{{\text{SP0}}}}G_{\text{b}}^{\text{M}}) $0.98$ {\varphi _{{\text{SP0}}}}G_{\text{b}}^{\text{M}}{G_{{\text{CC}}}}/({G_{{\text{CC}}}}+{\varphi _{{\text{SP0}}}}G_{\text{b}}^{\text{M}}) $0.97
$ {E_{\text{S}}} $/$ {\text{GPa}} $$ (4{G_{\text{b}}}{C_{\text{b}}}+3)/3{C_{\text{b}}} $2.631$ (4{G_{\text{b}}}{C_{\text{b}}}+3)/3{C_{\text{b}}} $2.627
$ {\beta _{\text{F}}} $$ {\text{ }}1 - {C_{\text{M}}}/{C_{\text{b}}} $0.84$ 1 - {C_{\text{M}}}/{C_{\text{b}}} $0.83
$ {B_{{\text{FF}}}} $式(27)1.15×10−4式(27)1.19×10−4
$ {B_{{\text{FP}}}} $, $ {B_{{\text{PF}}}} $式(27)−7.74×10−5式(27)−1.04×10−4
$ {\beta _{\text{P}}} $$ ({C_{\text{M}}} - {\varphi _{{\text{S0}}}}{C_{{\text{SS}}}})/{C_{\text{b}}} $0.12$ ({C_{\text{M}}} - {\varphi _{{\text{S0}}}}{C_{{\text{SS}}}})/{C_{\text{b}}} $0.17
$ {B_{{\text{PP}}}} $式(27)1.08×10−4式(27)1.34×10−4