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Radius of Investigation in Pressure Transient Testing

机译：压力瞬变测试的研究范围

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摘要

The spatial domain of interpretation in pressure transient and formation testing is constrained by its radius of investigation. A classical descriptor for this radius relies on the time derivative of pressure within a bounded domain becoming time independent. Another approach quantifies the radius of investigation based on the distance at which the pressure change is greater than the characteristic noise or resolution in the measurement system. In this paper, we postulate that the correct measure of radius of investigation is the distance at which the inversion of noisy test data is able to discern an anomaly within a given tolerance. This paper details the design requirements for a testing and measurement system suitable for a given investigation distance, measurement noise, and the confidence requirements for the inferred distance. The approach is demonstrated with two specific models. The first is a formation with a sealing fault in an infinite medium, and the second is a formation with a single-layer boundary vertically displaced from a production probe. With normally distributed random and correlated noise, computed results show that the measure of distance investigated is highly dependent upon the background over which the anomaly is imposed. Although the methodology is illustrated with particular models, the principles are applicable in general.
机译：压力瞬变和地层测试中解释的空间范围受到其研究半径的限制。该半径的经典描述依赖于有界域内压力的时间导数变得与时间无关。另一种方法基于压力变化大于测量系统中特征噪声或分辨率的距离来量化研究半径。在本文中，我们假设调查半径的正确度量是在给定的容差范围内，有噪声的测试数据的反演能够辨别异常的距离。本文详细介绍了适用于给定调查距离，测量噪声和推断距离的置信度要求的测试和测量系统的设计要求。通过两个特定模型演示了该方法。第一个是在无限介质中具有密封缺陷的地层，第二个是具有从生产探针垂直移位的单层边界的地层。对于正态分布的随机噪声和相关噪声，计算结果表明，所研究距离的度量高度依赖于施加异常的背景。尽管使用特定模型说明了该方法，但原则上还是适用的。

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