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泥石浆型复杂破碎岩体非线性渗流数学模型与实验研究

Study on a mathematical model and experiments for nonlinear seepage in complex crushed rocks with mud-rock slurry

  • 摘要: 断层、陷落柱是影响承压水上煤层开采的主要隐患之一,由于其具有碎石块和泥质充填物(泥石浆)构成的复杂结构,其渗透性的确定通常以定性分析为主,缺少量化模型。为了研究泥石浆型复杂破碎岩体渗透性的量化计算方法,开展了渗流实验研究破碎岩体非线性渗流规律,并基于多孔介质分形理论、非线性渗流理论,建立了考虑黏土成分及泥化充填作用的破碎岩体非线性渗流数学模型,最后与实验结果对比验证数学模型的准确性。结果表明:①陷落柱破碎带样品的粒度分布具有一定的分形规律,含有黏土颗粒的破碎带岩体遇水泥化后,分形维数增大,黏土充填封堵了大颗粒岩石碎块内部的大孔隙,降低了破碎岩体的渗透性;②随着破碎带岩体渗透率的降低,非线性开始发生时的临界压力梯度也增大,表明非线性临界压力梯度可以用来量化破碎岩体的阻隔水能力;③非线性开始发生时的临界压力梯度的实验结果与数学模型计算结果吻合,验证了模型的准确性。建立的破碎岩体非线性渗流数学模型首次尝试考虑了黏土成分及泥化充填作用对渗透性的影响,为泥石浆型复杂破碎岩体渗透性的定量计算及水体下、承压水上等特殊开采条件下地质构造的阻隔水性能研究提供了一种新的研究思路。

     

    Abstract: Faults and collapse columns are some of the main hidden dangers affecting the coal mining above confined aquifers, which structure is composed of crushed stones and argillaceous fillings (mud-rock slurry), and thus is very complex. Therefore, the determination of their permeability is usually based on qualitative analysis, lacking quantitative models. Seepage experiments were conducted to study the nonlinear seepage law in order to study the quantitative calculation method of the permeability of complex crushed rocks with mud-rock slurry in this study. A mathematical model for nonlinear seepage in the crushed rocks was established. The influence of clay composition and mud filling effect on the permeability was considered in the model of calculating permeability for the crushed rocks. The model is based on the fractal theory of porous medium and nonlinear seepage theory. The accuracy of the mathematical model was validated by comparing the calculation results from the mathematical model with the experimental results. The results show that: ①The particle size distribution of the crushed zone of collapse columns has a fractal law. The fractured rock mass containing clay particles undergoes a process of argillization when encountering water, resulting in an increase in the fractal dimension. The process fills the large pores in the large particles, reducing the permeability of the crushed rocks. ②The critical pressure gradient at the onset of nonlinearity increases as the permeability of crushed rocks decreases, indicating that the nonlinear critical pressure gradient can be used to quantify the water barrier capacity of the crushed rocks; ③The experimental results of the critical pressure gradient at the onset of nonlinearity are consistent with the calculated results from the mathematical model, which verifies the accuracy of the model. The mathematical model first tries to consider the influence of clay composition and mud filling on the permeability, which provides a new quantitative method for the permeability of complex crushed rocks with mud-rock slurry, and a new research approach for the water barrier performance of geological structures under special mining conditions such as the coal seam under and above confined aquifers.

     

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