Temperature transient analysis has gained increasing attention in recent years due to the widespread application of downhole temperature sensors with high resolution and accuracy. With the fast, high resolution, and accurate temperature sensors in oil and gas wells, there is a need for the models and methods for analysis of transient temperature data in order to identify production and well completion problems and calculation of reservoir properties. Although there are many proposed analytical and numerical models, a majority of models are not applicable in practice due to limitations in basic assumptions and computational time. A procedure is proposed for numerical simulation of transient variations of sandface pressure and temperature. The fluid flow and energy equations are decoupled and solved simultaneously and the dependency of all properties on pressure and temperature is treated by nested iteration loops. The solution was compared with some analytical and numerical methods and was found as a computationally efficient calculation method. The benefit of the proposed method is its versatility, simplicity, speed, and ease of implementation in a programming language which can be used in conjunction with well test analysis models to correct for the effect of temperature and also constrain the uncertainty of reservoir parameters. It can also be embedded in compositional and reactive models to widen their applicability and accuracy.

中文翻译：

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非等温流体通过多孔介质流动的有效数值模型

近年来，由于具有高分辨率和精度的井下温度传感器的广泛应用，温度瞬态分析越来越受到关注。随着油气井中快速、高分辨率和准确的温度传感器，需要分析瞬态温度数据的模型和方法，以识别生产和完井问题并计算储层特性。尽管提出了许多分析和数值模型，但由于基本假设和计算时间的限制，大多数模型在实践中并不适用。提出了一种对砂面压力和温度瞬态变化进行数值模拟的程序。流体流动和能量方程被同时解耦和求解，所有属性对压力和温度的依赖性通过嵌套迭代循环进行处理。该解与一些解析和数值方法进行了比较，并被认为是一种计算效率高的计算方法。所提出方法的优点是其通用性、简单性、速度和易于在编程语言中实现，可与试井分析模型结合使用，以校正温度的影响并限制储层参数的不确定性。它还可以嵌入到组合和反应模型中，以扩大其适用性和准确性。该解与一些解析和数值方法进行了比较，并被认为是一种计算效率高的计算方法。所提出方法的优点是其通用性、简单性、速度和易于在编程语言中实现，可与试井分析模型结合使用，以校正温度的影响并限制储层参数的不确定性。它还可以嵌入到组合和反应模型中，以扩大其适用性和准确性。该解与一些解析和数值方法进行了比较，并被认为是一种计算效率高的计算方法。所提出方法的优点是其通用性、简单性、速度和易于在编程语言中实现，可与试井分析模型结合使用，以校正温度的影响并限制储层参数的不确定性。它还可以嵌入到组合和反应模型中，以扩大其适用性和准确性。并且易于在编程语言中实现，可与试井分析模型结合使用，以校正温度的影响并限制储层参数的不确定性。它还可以嵌入到组合和反应模型中，以扩大其适用性和准确性。并且易于在编程语言中实现，可与试井分析模型结合使用，以校正温度的影响并限制储层参数的不确定性。它还可以嵌入到组合和反应模型中，以扩大其适用性和准确性。