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Probabilistic Determination of Productivity Index for a Horizontal Well in a Heavy-Oil Reservoir

机译:稠油油藏水平井产能指数的概率确定

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The objective of this study is to determine the minimal well length required to achieve a desired productivity index (PI). It considers the main uncertainties associated to fluids and reservoir properties (vertical and horizontal permeability, net oil thickness and oil viscosity). Monte Carlo analysis is used to consider possible combinations of these parameters and generate probabilistic results. This study was developed for a heavy oil reservoir. Oil of 15oAPI or less and viscosities up to 150 cp are expected. The results obtained can be used in the planning phase. The reservoir properties are evaluated initially by a pilot well; afterwards they are estimated along the horizontal length. During the horizontal well drilling, this model can be easily updated. A theoretical model presented in JOSHI (1988) is used to calculate the horizontal well PI. It considers the influence of anisotropy in permeability. This work is divided in two parts. Initially, a sensibility analysis is performed regarding each uncertainty parameter separately. This first stage is necessary to evaluate the most impacting parameters. The procedure was applied for several well lengths. In a second phase, Monte Carlo analysis is applied, considering simultaneously the uncertainties associated to these parameters. This analysis provided three levels for well PI: pessimistic, most probable and optimistic curves as a function of well length. This methodology is flexible and, for this practical case, it was implemented through a spreadsheet that comprised the required probability density functions and the Monte Carlo analysis. It can be implemented with other development programs that suit the reservoir engineer. The results obtained can improve the estimates for the performance of the wells and can be used to design adequate horizontal wells for field development.
机译:这项研究的目的是确定达到理想生产率指数(PI)所需的最小井长。它考虑了与流体和储层特性(垂直和水平渗透率,净油厚度和油粘度)有关的主要不确定性。蒙特卡洛分析用于考虑这些参数的可能组合并产生概率结果。这项研究是为稠油油藏开发的。预期油的含量不超过15oAPI,粘度最高可达150 cp。获得的结果可用于计划阶段。储层特性首先由试井进行评估。然后沿水平方向估算。在水平井钻井过程中,可以轻松更新此模型。 JOSHI(1988)提出的理论模型用于计算水平井PI。它考虑了各向异性对渗透率的影响。这项工作分为两个部分。最初,分别对每个不确定性参数执行敏感性分析。这第一步是评估最具影响力的参数所必需的。该程序适用于几种井长。在第二阶段,应用蒙特卡洛分析,同时考虑与这些参数相关的不确定性。该分析为井的PI提供了三个层次:悲观,最可能和最乐观曲线作为井长的函数。这种方法是灵活的,对于这种实际情况,它是通过包含所需概率密度函数和蒙特卡洛分析的电子表格实现的。可以使用其他适合储层工程师的开发程序来实现它。所获得的结果可以改善对井的性能的估计,并且可以用于设计足够的水平井以用于现场开发。

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