新型管幕工法修建地铁车站地层变形特性及参数优化

doi:10.12068/j.issn.1005-3026.2024.11.016

摘要/Abstract

摘要：

针对传统管幕工法承载力低及施工工序复杂等难题，提出了一种新型管幕工法—小直径管幕顶板工法，并应用于沈阳地铁和平南大街站工程.首先，参照实际工程构建了三维有限差分模型，对施工过程中地层变形特性进行研究；然后，阐明了管幕参数对车站施工结束后跨中最大地表沉降、管幕施工造成的地层扰动、管幕刚度以及造价4个指标的影响规律；最后，结合模糊数学理论优化了管幕参数.研究结果表明：小直径管幕顶板工法修建地铁车站时，拆除导洞壁施作顶板阶段是施工过程中控制地层变形的关键阶段，影响上述4个指标的最关键参数为钢管直径，优化后的最佳参数组合：钢管直径为400 mm、钢管间距为800 mm、钢管壁厚为10 mm、管内混凝土为C40、钢管采用Q390钢.

关键词: 小直径管幕工法, 变形特性, 参数优化, 地铁车站, 模糊数学

Abstract:

In response to the challenges of low bearing capacity and complex construction procedures in traditional pipe roofing method， a novel pipe roofing method， namely small?diameter pipe roofing method is proposed， which is applied in the construction of the Heping South Street Station of Shenyang Metro. A three?dimensional finite difference model for this project is established， to investigate the ground deformation characteristics during the construction. The influence of pipe?roof parameters on four indicators： maximum surface settlement at the mid?span after the station construction， ground disturbance caused by pipe roofing construction， pipe roofing stiffness， and cost is clarified. Finally， the pipe?roof parameters are optimized using fuzzy mathematics theory. The research results show that when constructing a subway station using the small?diameter pipe roofing method， the stage of removing the pilot tunnel wall and constructing the roof is the critical for controlling ground deformation. The most critical parameter affecting the above four indicators is the steel tube diameter. The optimized combination of parameters is steel tube diameter of 400 mm， steel tube center distance of 800 mm， steel tube wall thickness of 10 mm， concrete strength grade inside the tube is C40， and the steel tube strength grade is Q390.

Key words: small diameter pipe roofing method, deformation characteristics, parameter optimization, subway station, fuzzy mathematics

中图分类号:

TU 93

邱建, 赵文, 路博, 孙旭. 新型管幕工法修建地铁车站地层变形特性及参数优化[J]. 东北大学学报（自然科学版）, 2024, 45(11): 1645-1655.

Jian QIU, Wen ZHAO, Bo LU, Xu SUN. Ground Deformation Characteristics and Parameter Optimization of Metro Stations Constructed by Novel Pipe Roofing Method[J]. Journal of Northeastern University(Natural Science), 2024, 45(11): 1645-1655.

图/表 20

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名称	密度	弹性模量	泊松比	黏聚力c	内摩擦角φ
名称	kg·m^-3	MPa	泊松比	kPa	（°）
杂填土	1 900	15.0	0.28	4.0	26.0
中粗砂	1 930	15.5	0.28	2.0	35.0
圆砾	2 050	27.0	0.25	2.0	34.0
砾砂	1 960	26.6	0.29	2.0	36.7
管幕	2 800	55 200	0.25	—	—
顶板	2 500	30 000	0.20	—	—
边桩	2 500	30 000	0.25	—	—
中柱	2 500	38 000	0.25	—	—
初期支护	2 300	28 000	0.20	—	—
二衬	2 400	30 000	0.20	—	—

名称	密度	弹性模量	泊松比	黏聚力c	内摩擦角φ
名称	kg·m^-3	MPa	泊松比	kPa	（°）
杂填土	1 900	15.0	0.28	4.0	26.0
中粗砂	1 930	15.5	0.28	2.0	35.0
圆砾	2 050	27.0	0.25	2.0	34.0
砾砂	1 960	26.6	0.29	2.0	36.7
管幕	2 800	55 200	0.25	—	—
顶板	2 500	30 000	0.20	—	—
边桩	2 500	30 000	0.25	—	—
中柱	2 500	38 000	0.25	—	—
初期支护	2 300	28 000	0.20	—	—
二衬	2 400	30 000	0.20	—	—

水平	x₁/mm	x₂/mm	x₃/mm	x₄	x₅
1	300	600	10	C30	Q235
2	400	650	12	C35	Q335
3	457	700	14	C40	Q345
4	500	750	16	C50	Q390
5	600	800	18	C55	Q420

水平	x₁/mm	x₂/mm	x₃/mm	x₄	x₅
1	300	600	10	C30	Q235
2	400	650	12	C35	Q335
3	457	700	14	C40	Q345
4	500	750	16	C50	Q390
5	600	800	18	C55	Q420

序号	x₁/mm	x₂/mm	x₃/mm	x₄	x₅	y₁/mm	y₂/mm	y₃/（MN·m²）	y₄/万元
1	300	600	10	C30	Q235	36.74	6.90	21.07	8.43
2	300	650	12	C35	Q335	35.37	6.92	24.60	8.89
3	300	700	14	C40	Q345	33.64	6.56	28.42	9.34
4	300	750	16	C50	Q390	34.94	6.32	32.58	10.77
5	300	800	18	C55	Q420	33.81	6.28	36.38	11.38
6	400	600	12	C40	Q390	29.53	7.51	64.31	12.51
7	400	650	14	C50	Q420	28.63	7.43	74.74	14.43
8	400	700	16	C55	Q235	27.89	7.29	78.92	14.98
9	400	750	18	C30	Q335	29.49	7.76	85.11	11.42
10	400	800	10	C35	Q345	29.51	6.95	53.79	11.77
11	457	600	14	C55	Q335	29.09	8.39	108.73	17.17
12	457	650	16	C30	Q345	26.38	8.70	120.18	13.09
13	457	700	18	C35	Q390	25.69	7.92	136.48	13.79
14	457	750	10	C40	Q420	26.86	7.55	85.80	14.19
15	457	800	12	C50	Q235	26.94	6.90	95.58	16.22
16	500	600	16	C50	Q420	23.83	8.64	169.64	18.13
17	500	650	18	C55	Q235	24.47	8.47	177.20	18.77
18	500	700	10	C30	Q335	23.73	8.03	106.60	14.03
19	500	750	12	C35	Q345	24.84	8.48	126.98	14.80
20	500	800	14	C40	Q390	24.72	7.49	148.34	15.59
21	600	600	18	C35	Q345	19.46	10.05	316.38	18.15
22	600	650	10	C40	Q390	19.52	8.96	201.42	18.64
23	600	700	12	C50	Q420	19.32	9.21	240.08	21.54
24	600	750	14	C55	Q235	19.34	9.06	260.18	22.44
25	600	800	16	C30	Q335	20.31	8.78	280.32	17.02