Evolution Law of Longitudinal Deformation Curve and Release Coefficient of Viscoelastic Rock

doi:10.16183/j.cnki.jsjtu.2023.350

Abstract

Abstract:

Conventional elastic solutions cannot explain the deformation characteristics of soft rock tunnels exhibiting creep behavior. Therefore, a Burgers model is introduced to demonstrate the space-time effects in the construction period of soft rock tunnel. The influences of different factors on the longitudinal deformation behavior of viscoelastic rock as well as the spatiotemporal evolution patterns have been revealed through numerical simulations. An empirical formula for the displacement release coefficient is derived using the response surface method. The feasibility of the proposed method is validated by comparing the results with on-site monitoring data and other theoretical values. The findings indicate that geostress has a negligible effect on the displacement release coefficient. In constrast, the Kelvin shear modulus, viscosity coefficient, Maxwell shear modulus, and excavation speed significantly affect the displacement release coefficient. According to viscosity time, the hysteresis coefficient can be divided into three categories: low, medium, and high. Empirical formulas are fitted for the longitudinal deformation curve, including time, spatial, and spatiotemporal factors. The research conclusion can provide a more convenient method for predicting the deformation of soft rock tunnels.

Key words: viscoelasticity, longitudinal deformation profile, soft rock tunnel, time-space effect, displacement release coefficient

CLC Number:

TU432

WANG Jiachen, MENG Lingzan, ZHANG Dingli, LU Song, WEN Ming. Evolution Law of Longitudinal Deformation Curve and Release Coefficient of Viscoelastic Rock[J]. Journal of Shanghai Jiao Tong University, 2025, 59(4): 513-524.

Figures/Tables 26

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系列	G_K/GPa	η_K/(GPa·h)	G_M/GPa	K/MPa	系列	G_K/GPa	η_K/(GPa·h)	G_M/GPa	K/MPa
1	3.72	0.13	8.90	95.14	8	3.23	16.7	0.410	160.32
2	2.38	0.11	5.16	65.79	9	0.94	9.7	0.088	74.36
3	0.23	0.03	0.68	47.44	10	4.21	155.2	9.770	58.33
4	9.75	0.23	16.66	60.42	11	2.27	185.3	1.660	168.00
5	3.65	0.13	8.42	70.83	12	2.27	182.4	2.020	178.79
6	2.38	0.11	4.85	48.48	13	0.28	91.1	0.160	50.79
7	12.61	286.20	22.54	186.31	14	0.07	44.6	0.058	111.73

系列	k×10⁴	u_max/σ⁰×10⁴	系列	k×10⁴	u_max/σ⁰×10⁴
1	5.23	5.49	8	37.72	39.40
2	8.45	8.86	9	170.05	176.79
3	79.90	83.40	10	4.67	4.88
4	2.19	2.29	11	14.44	15.09
5	5.32	5.59	12	12.83	13.33
6	8.56	8.97	13	141.55	146.02
7	1.69	1.76	14	428.45	445.90

工况	G_K/GPa	η_K/(GPa·h)	G_M/GPa	K/MPa	工况	G_K/GPa	η_K/(GPa·h)	G_M/GPa	K/MPa
K-1	12.61	286.20	22.54	18.63	η_K-1	12.61	28.62	22.54	186.31
K-2	12.61	286.20	22.54	93.16	η_K-2	12.61	143.10	22.54	186.31
K-3	12.61	286.20	22.54	279.47	η_K-3	12.61	429.30	22.54	186.31
K-4	12.61	286.20	22.54	1 863.10	η_K-4	12.61	28620	22.54	186.31
G_K-1	1.261	286.20	22.54	186.31	G_M-1	12.61	286.20	2.254	186.31
G_K-2	6.31	286.20	22.54	186.31	G_M-2	12.61	286.20	11.27	186.31
G_K-3	18.92	286.20	22.54	186.31	G_M-3	12.61	286.20	33.81	186.31
G_K-4	126.10	286.20	22.54	186.31	G_M-4	12.61	286.20	225.40	186.31

系列	t_d/d	v/(m·d^-1)	系列	t_d/d	v/(m·d^-1)	系列	t_d/d	v/(m·d^-1)
1	1.47×10^-3	16	6	1.93×10^-3	16	11	3.40	0.8
2	1.93×10^-3	16	7	0.946	4	12	3.35	0.8
3	5.44×10^-3	16	8	0.215	8	13	13.56	0.4
4	9.83×10^-4	16	9	0.431	4	14	26.55	0.2
5	1.48×10^-3	16	10	1.54	2

工况	a	b	c
7-1	-0.814	-0.203	0.974
7-2	-0.823	-0.358	0.993
10-1	-0.801	-0.136	0.943
10-2	-0.838	-0.233	0.988
10-3	-0.835	-0.321	0.998
11-1	-0.539	-0.276	0.771
11-3	-0.698	-0.359	0.963