A transient flow solution to describe fluid flow to horizontal fractures applied to frac-packed wells,Energy Science & Engineering

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A transient flow solution to describe fluid flow to horizontal fractures applied to frac-packed wells
Energy Science & Engineering ( IF 3.5 ) Pub Date : 2021-08-18 , DOI: 10.1002/ese3.962
Boyun Guo ₁ , Chunkai Fu ₁ , Ning Liu ₁

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This paper presents an analytical model to describe the transient fluid flow to a horizontal fracture in frac-packed vertical wells. A physical model is first established where a horizontal frac-packed fracture is located in the middle of a cylindrical reservoir. The pressure distribution in the fracture is then derived concerning time and the distance to the wellbore. The analytical model assumes a homogeneous and isotropic reservoir where Darcy's law applies to a single-phase fluid flow, a radial fracture with a radius much greater than pay zone thickness, and a constant fracture width. For ease of application, a Type Curve Matching approach is introduced which features the matching of a defined dimensionless pressure between field pressure data and model data, and some exemplar curves are illustrated in this paper. The principle of applying curve matching here is to tune model parameters to match the measured pressure/rate data. Once the curves are matched, the model parameters, that is, fracture permeability, etc, are naturally obtained. The validity of the derived model is informed in two ways. The results show that the model will degenerate to the classic radial flow equation for practical values of certain model parameters and upon reasonable simplification. Model validity is further verified by applying the type curve matching technique using field data. This model can be used as a quick and reasonable method to analyze the transient pressure/rate test data to reveal fundamental fracture and reservoir properties for a frac-packed horizontal fracture at shallow depths where the vertical formation stress is the least in situ stress.

中文翻译：

一种用于描述流体流向水平裂缝的瞬态流动解决方案，适用于压裂填充井

本文提出了一种分析模型来描述压裂填充的垂直井中水平裂缝的瞬态流体流动。首先建立物理模型，其中水平压裂填充裂缝位于圆柱形储层的中间。然后根据时间和到井眼的距离推导出裂缝中的压力分布。分析模型假设一个均质和各向同性的储层，其中达西定律适用于单相流体流动、半径远大于产层厚度的径向裂缝和恒定的裂缝宽度。为便于应用，引入了类型曲线匹配方法，该方法的特点是在现场压力数据和模型数据之间匹配定义的无量纲压力，并在本文中给出了一些示例曲线。这里应用曲线匹配的原理是调整模型参数以匹配测量的压力/速率数据。曲线匹配后，自然得到模型参数，即裂缝渗透率等。派生模型的有效性以两种方式通知。结果表明，对于某些模型参数的实际值和合理简化，该模型将退化为经典的径向流动方程。通过使用现场数据应用类型曲线匹配技术进一步验证模型有效性。该模型可以作为一种快速、合理的方法来分析瞬态压力/速率测试数据，以揭示浅层压裂填充水平裂缝的基本裂缝和储层特性，其中垂直地层应力是地层应力最小的浅层。

更新日期：2021-10-03

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