Mesoscopic law of stress and fracture evolution of coal seams hydraulic fracturing
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摘要: 水力压裂作为煤层强化增透技术的一种,其应力演化特征及裂隙形态与扩展范围的判断尤为重要。采用离散元数值方法,以导向压裂为背景,建立水力压裂流固耦合模型;通过应力路径、裂纹热点图等手段,探究水力压裂过程中压裂排量、泊松比、天然裂隙密度对应力演化和裂隙演化的影响及其细观规律。结果表明:不同压裂排量下的应力演化方向及最终应力路径曲线形状有着明显的不同,低排量下裂隙附近的应力比值逐渐增大,而在高排量下先增大后减小;煤层泊松比越大,平均压裂半径越低,但对起裂时间及裂隙的扩展形态影响不明显;天然裂隙的发育情况对水力裂隙的扩展起着关键性作用,高裂隙发育煤层水力裂隙扩展的方向性无法预测,应力演化方向会出现反转现象;压裂过程中不同区域的应力演化特征能够反映出裂隙的扩展状态,现场可通过监测压裂区域附近应力变化,判断水力压裂缝网的扩展范围。Abstract: Hydraulic fracturing is a technology to increase coal seam permeability, and its stress evolution characteristics and the judgment of fracture morphology and propagation range are particularly important. In this paper, based on directional fracturing, a fluid-structure coupling model of hydraulic fracturing is established by using the discrete element numerical method. The effects of fracturing flow, Poisson’s ratio, natural fracture density on stress evolution and fracture evolution, and their mesoscopic laws are investigated by means of the stress path and crack hot spot diagram. The results show that the stress evolution direction and the final stress path curve shape are obviously different at different fracturing rates. The stress ratio near the crack increases gradually at a low fracturing rate, but increases first and then decreases at a high fracturing rate. The larger the Poisson’s ratio, the smaller the fracture radius, but its influence on fracture initiation time and fracture propagation morphology is not obvious. The development of natural fractures plays a key role in the propagation of hydraulic fractures, and the direction of fracture propagation is more random in coal seams with high natural fracture development, and the direction of stress evolution is reversed. The stress evolution characteristics of different regions can reflect the propagation state of fractures in the fracturing process, the propagation range of the hydraulic fracture network can be determined by monitoring the triaxial stress of several fixed positions near the fracture zone.
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Key words:
- hydraulic fracturing /
- stress evolution /
- crack evolution /
- mesoscopic law /
- discrete element
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表 1 试样宏观参数与模型宏观参数的比较
Table 1 Comparison between sample macro parameters and model macro parameters
宏观力学参数 实际值 PFC2D
计算值误差/% 单轴抗压强度σc/MPa 32.22 32.04 −0.5 弹性模量E/GPa 1.81 1.82 0.5 泊松比ν 0.25 本体抗拉强度σt/MPa 2.83 2.96 4.6 表 2 模型细观参数
Table 2 Model mesoscopic parameters
参数类别 细观参数 数值 颗粒 颗粒最小半径Rmin/mm 0.30 最大最小粒径比Rmax/Rmin 1.66 颗粒密度ρ/(kg∙m−3) 1 280 孔隙率/% 9 阻尼β/(Ns∙m−1) 0.50 接触模型 细观弹性模量Ec/GPa 1.00 刚度比kn/ks 2.30 摩擦因数μ 0.50 细观抗拉强度σc/MPa 11 黏聚力c/MPa 20 摩擦角φ/(°) 37.50 法向临界阻尼比βn 0.57 表 3 水力压裂模拟方案设计
Table 3 Scheme design of hydraulic fracturing simulation
序号 天然裂隙
密度煤体泊松比 压裂排量Q/(mL∙min−1) 1 无 0.25 20 2 无 0.25 40 3 无 0.25 60 4 无 0.16 40 5 无 0.35 40 6 低 0.25 40 7 中 0.25 40 8 高 0.25 40 注:低、中、高泊松比分别代表ν = 0.16、ν = 0.25、ν = 0.35;低、中、高压裂排量分别代表Q = 20、Q = 40、Q = 60 mL/min;低、中、高天然裂隙密度分别代表与参考线相交的裂隙数量为5、10、20个。 -
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