基于致密砂岩气藏中气体非达西渗流特征,考虑应力敏感效应的影响,推导了致密砂岩气藏在拟稳态流动阶段的垂直裂缝气井产能方程,并得到了气井无阻流量计算式。实例计算结果表明:受到应力敏感效应影响,气井产能向压力轴弯曲,在相同的生产压差下,气井产量比不考虑应力敏感效应的产量低;应力敏感系数越大,产能曲线弯曲越早、弯曲度越大,气井产量越低,产量下降率越大;应力敏感系数越大、基质有效渗透率越低、裂缝半长越小、裂缝导流能力越小,垂直裂缝气井的产量越小。为保证垂直压裂气井的开发效果,压裂作业应尽量布置在基质渗透率较高的区域。
Based on the characteristics of the non-Darcy seepage in tight sandstone gas reservoirs, the productivity equation for the vertical fractured wells is deduced in the pseudo-steady state of the gas reservoirs considering the effects of the stress sensitivity. And moreover the open flow capacity calculating formula of the gas wells is derived. The computed results of the history case show that because of the effect influence of the stress sensitivity, the pro- ductivity curves of the producers are bended to the pressure axis and the productivities are lower than the those without considering the stress sensitive effects under the same condition of the producing pressure differences; the bigger the stress sensitive coefficient is, the earlier and more serious the productivity curves are bended, the lower the production will be and more serious the yield reduction rate will be ; the bigger the stress sensitive coefficient is, the lower the matrix effective permeability is, the smaller the half-length of the fracture or fracture conductivity is, the lower the production of the vertically fractured gas wells will be. In order to ensure the development effects of the vertically fractured wells, the fracturing operation should be arranged in the high-permeability zones as possible as you can.