Solvable model of gas production decline from hydrofractured networks
Solvable model of gas production decline from hydrofractured networks
复制标题
水力压裂网络天然气产量下降的可解模型
DOI：
10.1103/physreve.104.065001
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发表时间：
2021
影响因子：
2.4
通讯作者：
Patzek, Tadeusz W.
中科院分区：
文献类型：
--
作者：
Marder, M.;Eftekhari, Behzad;Patzek, Tadeusz W.
我们解决的问题，从研究天然气和石油生产的水力压裂威尔斯。过去的生产能预测未来吗？这取决于尽可能多地从生产中推断裂缝网络的合理几何形状。我们通过一个可解的模型来解决这个问题，并使用动力学蒙特卡罗和绿色函数技术来解决它。首先，在足够长的时间，从所有紧凑的裂缝网络的生产是由一个通用的功能与两个缩放参数，其中之一是未破碎的岩石的扩散率和第二个是一个参数与体积单位。其次，对于裂缝间距的幂律分布低于临界值的裂缝网络（这似乎是在实践中的情况），早期生产总是按时间的平方根缩放。第三，确定后期产量规模的扩散性本身就很难从产量数据中估计出来，但这里的方法提供了获得它的最佳希望，因此可以确定将控制非常规天然气和油井威尔斯下降的物理因素。
We address questions that arose from studying gas and oil production from hydrofractured wells. Does past production predict the future? This depends on deducing from production as much as possible about the plausible geometries of the fracture network. We address the problem through a solvable model and use kinetic Monte Carlo and Green's function techniques to solve it. We have three main findings. First, at sufficiently long times, the production from all compact fracture networks is described by a universal function with two scaling parameters, one of which is the diffusivity of unbroken rockand the second of which is a parameterwith units of volume. Second, for fracture networks where the power-law distribution of fracture spacings falls below a critical value (and this appears to be the case in practice), early-time production always scales as one over the square root of time. Third, the diffusivitythat sets the scale for late-time production is inherently difficult to estimate from production data, but the methods here provide the best hope of obtaining it and thus can determine the physics that will govern the decline of unconventional gas and oil wells.