抽采钻孔孔周煤体瓦斯pre-Darcy/Darcy/non-Darcy渗流型态判定

Determination of pre-Darcy/Darcy/non-Darcy seepage patterns in coal around extraction boreholes

  • 摘要: 抽采钻孔的应力集中现象易导致孔周煤体结构产生不同程度的破坏,应力的重新分布也造成孔周形成大量的孔隙和裂隙网络,钻孔孔周“三区”结构的发育范围是判定有效抽采半径的关键指标,为了精准确定煤层瓦斯有效抽采半径进而合理确定孔间距,拟通过对抽采钻孔孔周煤体内瓦斯渗流型态的精准判定,给出一种孔周孔隙、裂隙煤体内瓦斯流型判定新方法,为此自主设计了变孔隙三轴渗流试验系统,测定不同应力条件下的抽采钻孔孔周煤体的渗透率的变化规律,应用Kozney-Carman方程进而对流型判定指标雷诺数Re进行修正,进而得到3种典型的渗流型态(前达西、达西和Forchheimer型非达西)的临界判定条件。研究结果表明:① 低雷诺数下的瓦斯渗流均属于前达西阶段,渗透阻力主要来自瓦斯自身的黏滞力,该状态仅存在于流速vs≤0.062 m/s的时候;在Rep > 15处流速曲线具有拐点,这一区域是一个弱惯性区域,黏性和惯性效应共同存在。此时穿过孔周煤体介质内的瓦斯压降与雷诺数成反比,这是由于孔周煤体内的毛细管力制约了瓦斯流动。② 高雷诺数的渗流过程基本属于紊流状态,通过试验发现孔周煤体介质渗流过程存在非线性阶段,表明煤体介质自身内部结构对瓦斯流速的影响较小,流动过程中的惯性效应是产生流动摩擦阻力的主要因素,惯性阻力的大小可以用达西方程中的二阶速度相关项来计算,孔周煤体介质颗粒的惯性区从vs > 0.086 m/s开始。③ 通过分析孔周煤体孔隙、裂隙介质的3种典型的渗流型态,计算了不同渗流型态下的雷诺数计算方法,给出了判定渗透流态的临界雷诺数值,发现当 Re _\sqrt K 大于3.29时,整个渗流过程属于非达西Forchheimer状态,此时计算出来的值为非线性流动的临界条件(Rep > 0.18)。结合以上结论,可在煤层瓦斯预抽工作中,通过利用改进后的孔周煤体渗流型态计算方法,精准确定煤层瓦斯抽采半径,从而为钻孔布孔方式的设计提供重要的理论依据。

     

    Abstract: The stress concentration phenomenon in extraction drill holes easily leads to different degrees of damage to the coal body structure around the holes, and the redistribution of stress also causes the formation of a large number of pores and fissure networks around the holes. In order to accurately determine the effective extraction radius of coal seam gas and then reasonably determine the hole spacing, it is proposed to give a kind of “three-zone” gas flow pattern around the hole by accurately determining the gas flow pattern in the coal body around the extraction hole. It is proposed to give a new method for determining the gas flow pattern in the coal by accurately determining the gas flow pattern in the pore and fissure around the extraction boreholes. To this end, a variable porosity triaxial seepage test system was designed independently to determine the changing law of permeability of coal body around the extraction boreholes under different stress conditions, and the Kozney-Carman equation was applied to correct the Reynolds number Re, which is an indicator of the determination of the flow pattern, so as to obtain the critical conditions for the determination of the three typical seepage patterns (pre-Darcy, Darcy, and Forchheimer-type non-Darcy). The results show that: ① the gas seepage under low Reynolds number belongs to the pre-Darcy stage, and the penetration resistance mainly comes from the viscous force of gas itself, which exists only when the flow velocity vs ≤ 0.062 m/s; the flow velocity curve has an inflexion point at Rep > 15, which is a weakly inertial region, where the viscous and inertial effects co-exist. At this time, the pressure drop of the gas through the coal medium around the hole is inversely proportional to the Reynolds number, which is due to the capillary force in the coal body around the hole restricting the flow of gas. ② The seepage process of high Reynolds number is basically a turbulent state, and the test found that there is a non-linear phase of the seepage process of the coal medium around the hole, which indicates that the coal medium’s own internal structure has little effect on the flow rate of the gas, and the inertial effect of the flow is the main factor of the frictional resistance, the inertial effect is a major factor of the frictional resistance. The inertia effect during the flow process is the main factor of friction resistance, and the size of inertia resistance can be calculated by the second-order velocity correlation term in Darcy’s equation, and the inertia zone of the coal medium particles around the peripore starts from vs > 0.086 m/s. ③ By analysing the three typical seepage patterns of the coal body pore and fissure media around the peripore, the Reynolds number calculation methods under different seepage patterns are calculated, and the critical Reynolds number value for the determination of the permeability flow pattern is given, and the value of Reynolds number for the determination of permeability flow pattern is found. When Re _\sqrt K is greater than 3.29, the whole seepage process belongs to the non-Darcy Forchheimer state, and the value calculated at this time is the critical condition for nonlinear flow (Rep > 0.18). Combined with the above conclusions, the radius of coal seam gas extraction can be accurately determined in coal seam gas pre-pumping work by using the improved method of calculating the seepage pattern of the coal body around the hole, so as to provide an important theoretical basis for the design of the drilling hole layout method.

     

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