基于弹性地基梁理论的覆岩离层注浆层位识别研究与应用

    Study and application of grouting horizon identification for overlying rock separation based on elastic foundation beam theory

    • 摘要: 针对井工煤矿采后地表沉降问题,为精准定位覆岩离层注浆减沉关键层,有效控制地表沉降及其次生不利影响,提出了融合弹性地基梁理论、三维地震数据反演与有限差分数值模拟的覆岩离层关键层综合识别体系。基于弹性地基梁理论,建立分区段弹性地基梁挠度力学模型,推导关键层判别公式与隔浆层稳定性评价模型;利用三维地震数据反演地层岩性成果,结合数值模拟分析覆岩离层演化特性,揭示覆岩卸压区、竖向位移场及塑性区时空演化规律,以获得离层注浆层位。以新安煤田11090工作面为工程实例,导水裂隙带发育高度理论计算值为78.60 m,数值模拟结果为80~100 m,数值模拟揭示覆岩卸压区上边界位于埋深480~500 m岩层;综合利用关键层判别公式、导水裂隙带高度理论值、数值模拟结果,以及隔浆层稳定性安全系数评价模型,确定煤层顶部147.26 m处、埋深482.94 m、厚度63.62 m的巨厚泥岩层为目标注浆层;针对此目的层,设计8个终孔于层底1 m处的地面钻孔,形成“成对布置、阶段压注”的注浆工艺,并布置83个测点进行17期地表移动监测,结果显示:最大下沉值为231.2 mm、最大倾斜为0.6 mm/m、最大变形值为0.3 mm/m,对比非注浆开采理论最大下沉值879.3 mm,减沉率达73.1%,建筑物损坏等级由II级降至I级。研究证实:基于弹性地基梁理论,并融合三维地震与数值模拟的综合识别方法,可精准定位覆岩离层注浆目标层;优化形成的适配巨厚泥岩关键层的注浆技术体系,可实现地表沉降高效控制。

       

      Abstract: Aiming at the problem of surface subsidence after underground coal mining, to accurately locate the key stratum for subsidence reduction by grouting in overlying rock separation zones and effectively control surface subsidence and its secondary adverse impacts, a comprehensive identification system for key strata in overlying rock separation zones integrating the elastic foundation beam theory, 3D seismic data inversion and finite difference numerical simulation was proposed. Based on the elastic foundation beam theory, a mechanical model of deflection of zonal elastic foundation beams was established, and the discriminant formula for key strata and the stability evaluation model for grout isolation layers were derived. Using the results of stratum lithology inversion from 3D seismic data and combining numerical simulation to analyze the evolutionary characteristics of overlying rock separation, the spatiotemporal evolution laws of the overlying rock pressure relief zone, vertical displacement field and plastic zone were revealed to determine the grouting horizon for separation zones. Taking the 11090 working face in the Xin’an Coalfield as an engineering case, the theoretical calculation value of the development height of the water flowing fractured zone was 78.60 m, and the numerical simulation result was 80–100 m; numerical simulation revealed that the upper boundary of the overlying rock pressure relief zone was located in the rock stratum with a buried depth of 480–500 m. By comprehensively using the discriminant formula for key strata, the theoretical value of the height of the water flowing fractured zone, numerical simulation results and the safety factor evaluation model for the stability of grout isolation layers, the ultra-thick mudstone stratum at 147.26 m above the coal seam, with a buried depth of 482.94 m and a thickness of 63.62 m, was determined as the target grouting layer. For this target layer, 8 surface boreholes with the final hole at 1 m from the bottom of the stratum were designed, forming a grouting technology of paired arrangement and phased grouting; meanwhile, 83 measuring points were arranged to carry out 17 phases of surface movement monitoring. The monitoring results showed that the maximum subsidence value was 231.2 mm, the maximum inclination was 0.6 mm/m, and the maximum deformation value was 0.3 mm/m. Compared with the theoretical maximum subsidence value of 879.3 mm in non-grouting mining, the subsidence reduction rate reached 73.1%, and the building damage grade was reduced from Grade II to Grade I. The study confirms that the comprehensive identification method integrating 3D seismic technology and numerical simulation based on the elastic foundation beam theory can accurately locate the target grouting layer for overlying rock separation zones; the optimized grouting technology system adapted to the ultra-thick mudstone key stratum can realize the efficient control of surface subsidence.

       

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