School of Mining and Coal, Inner Mongolia University of Science and Technology
Guoneng Wuhai Energy Wuhushan Mining Co., Ltd.

为了研究工作面开采对地表沉陷的动态影响，以乌海某矿为研究的工程背景，通过使用 Knothe 时间函数与概率积分法交叉并结合 Usher 函数构建了地表动态沉陷预测函数模型，运用现场实测数据对预测模型的参数进行求取，最终得到走向、倾向动态沉陷预测公式；使用 FLAC3D模拟由工作面开采引起的地表动态沉陷过程。结果表明：工作面开采初期地表表现为隆起，中期由隆起转为沉陷，且当工作面推进至 600 m时工作面达到充分开采，下沉曲线表现为“U 型”；通过数值模拟与实测数据所绘制出的动态下沉曲线与走向、倾向动态沉陷预测公式绘制出的下沉曲线相似度较高，验证了动态沉陷预测公式的准确性与实用性。

In order to study the dynamic influence of working face mining on surface subsidence, taking a mine in Wuhai as the engineering background, the prediction function model of surface dynamic subsidence is constructed by using Knothe time function and probability integral method and combining Usher function. The parameters of the prediction model are obtained by using the field measured data, and the prediction formula of the trend and tendency dynamic subsidence is obtained. FLAC3D is used to simulate the process of surface dynamic subsidence caused by working face mining. The research results show that: the surface of the working face is uplifted at the initial stage of mining, and changes from uplift to subsidence in the middle stage, the working face reaches full mining, and the subsidence curve is “U-shaped” when the working face advances to 600 m; the dynamic subsidence curve drawn by numerical simulation and measured data has a high similarity with the subsidence curve drawn by the dynamic subsidence prediction formula of strike and tendency, which verifies the accuracy and practicability of the dynamic subsidence prediction formula.

国家自然科学基金资助项目（52064043, 51764044）；内蒙古自然科学基金资助项目（2020MS05010）；内蒙古科技大学矿山安全与地下工程专家工作站建设资助项目 （GZ620167）；内蒙古煤炭绿色开采与绿色利用协同创新中心平台建设资助项目 （XT320825）

王文才，吴周康，王鹏，等. 基于多函数交叉的地表动态沉陷预测模型及应用[J]. 煤矿安全，2023，54（10）：154−160.

WANG Wencai, WU Zhoukang, WANG Peng, et al. Surface dynamic subsidence prediction model based on multi-function crossover and its application[J]. Safety in Coal Mines, 2023, 54（10）: 154−160.