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首页> 外文期刊>Journal of natural gas science and engineering >Diagnosis of nonlinear reservoir behaviour for correctly applying the superposition principle and deconvolution
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Diagnosis of nonlinear reservoir behaviour for correctly applying the superposition principle and deconvolution

机译：正确应用叠加原理和反卷积的非线性油藏行为诊断

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摘要

The superposition principle is the fundamental theory of pressure-transient analysis. Many pressure analysis methods, such as pressure build-up analysis and deconvolution, are based on the superposition principle. Deconvolution, which can provide the equivalent constant-rate pressure response from variable-rate pressure data, has become more popular in recent years. Mathematically, the superposition principle is only valid in a linear system. However, many reservoir behaviours can make the system nonlinear and the superposition principle invalid, such as the time-dependent skin factor and permeability, multiphase flow and non-Darcy flow. Erroneously applying the superposition principle and related methods will lead to incorrect analysis results and inappropriate production decisions. To reduce the analysis uncertainties and obtain the correct reservoir information, diagnosing the nonlinear reservoir behaviour and selecting the appropriate pressure analysis method are important. In this paper, nonlinear reservoir behaviours are diagnosed from transient pressure data with the wavelet transform. A defined diagnosis function can effectively diagnose the nonlinear reservoir behaviours. As studies have proved, the diagnosis function is constant in the linear system and time varying in the nonlinear system. Based on the diagnosis result, the nonlinear system can be linearized in a short time period using the sliding window technique, and the superposition principle and related methods can be correctly applied. (C) 2015 Elsevier B.V. All rights reserved.
机译：叠加原理是压力瞬态分析的基础理论。许多压力分析方法，例如压力累积分析和反卷积，都是基于叠加原理的。可以根据可变速率压力数据提供等效的恒定速率压力响应的反卷积近年来变得越来越流行。在数学上，叠加原理仅在线性系统中有效。但是，许多储层行为会导致系统非线性和叠加原理无效，例如与时间有关的趋肤因子和渗透率，多相流和非达西流。错误地应用叠加原理和相关方法将导致错误的分析结果和不正确的生产决策。为了减少分析的不确定性并获得正确的储层信息，诊断非线性储层行为并选择适当的压力分析方法非常重要。本文利用小波变换从瞬时压力数据中诊断出非线性储层行为。定义的诊断功能可以有效地诊断非线性油藏行为。研究证明，诊断功能在线性系统中是恒定的，而在非线性系统中是随时间变化的。根据诊断结果，可以使用滑动窗口技术在短时间内将非线性系统线性化，并且可以正确应用叠加原理和相关方法。 （C）2015 Elsevier B.V.保留所有权利。

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