Elastic Analysis of Nonhomogeneous Frozen Wall under Nonaxisymmetric Ground Stress Field and in State of Unloading

Table 3

Circumferential stress and radial displacement of the inner edge for the IF model and HF model under different freezing modes.

Freezing modes	Formation conditions	Locations					Reduction rates (%)
			IF model	HF model	IF model	HF model
Single-circle pipes	1		−2.176	−2.263	−0.0612	−0.0638	−3.84	−4.04
			−0.846	−0.900	−0.216	−0.220	−5.57	−1.66
	2		−2.372	−2.544	−1.137	−1.250	−6.74	−9.05
			−0.724	−0.827	−5.077	−5.200	−12.41	−2.37
Double-circle pipes	1		−2.051	−2.202	−0.0585	−0.0582	−6.89	0.40
			−0.808	−0.885	−0.192	−0.193	−8.70	−0.526
	2		−2.087	−2.361	−1.209	−1.207	−11.59	−0.163
			−0.695	−0.841	−4.008	−4.030	−17.36	−0.549
Triple-circle pipes	1		−1.975	−2.149	−0.059	−0.055	−8.12	6.86
			−0.803	−0.885	−0.178	−0.176	−9.32	1.41
	2		−1.933	−2.233	−1.281	−1.161	−13.41	10.35
			−0.706	−0.861	−3.48	−3.41	−18.03	2.20

PS: reduction rate = (IF model − HF model)/HF model × 100%.