基于马尔可夫决策过程的油气田再开发

M. Sieberer, T. Clemens
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引用次数: 1

摘要

油气田(再)开发需要在不确定的情况下做出大量决策。这些决策包括地面设施的类型和规模、位置、配置和井的数量,以及需要获取的数据。这两种类型的决策(选择哪种开发和获取哪种数据)是紧密耦合的。评估的目的是使价值最大化,同时使数据获取成本最小化。这些决定必须在不确定的情况下做出,因为地下的固有不确定性,以及其他成本和经济参数的不确定性。传统的信息价值(VOI)评价可以用来确定可以花费多少钱来获取数据。然而,对于具有各种成本和包括决策者的风险态度的复杂决策序列,计算VOI是非常具有挑战性的。我们使用完全可观察的马尔可夫决策过程(MDP)来确定要执行的度量和决策的顺序和类型的策略。一个完全可观察的MDP由状态(这里是系统在某个时间点的描述)、动作(这里是度量和开发场景)、转换函数(从一种状态过渡到下一种状态的概率)和奖励(度量的成本、开发选项的预期货币价值(EMV))来表征。通过求解MDP,可以得到最优政策、决策顺序、项目成熟概率(POM)、预期货币价值(EMV)、预期损失、预期评估成本、经济成功概率(PES)等。然后,这些关键绩效指标可以用于在项目组合中选择为公司产生最高预期回报的项目。将数值模型组合的产量预测与概率资本和运营支出以及经济参数相结合,可以在不确定的情况下进行定量决策。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Hydrocarbon Field Re-Development as Markov Decision Process
Hydrocarbon field (re-)development requires that a multitude of decisions are made under uncertainty. These decisions include the type and size of surface facilities, location, configuration and number of wells but also which data to acquire. Both types of decisions, which development to choose and which data to acquire, are strongly coupled. The aim of appraisal is to maximize value while minimizing data acquisition costs. These decisions have to be done under uncertainty owing to the inherent uncertainty of the subsurface but also of other costs and economic parameters. Conventional Value Of Information (VOI) evaluations can be used to determine how much can be spend to acquire data. However, VOI is very challenging to calculate for complex sequences of decisions with various costs and including the risk attitude of the decision maker. We are using a fully observable Markov-Decision-Process (MDP) to determine the policy for the sequence and type of measurements and decisions to do. A fully observable MDP is characterised by the states (here: description of the system at a certain point in time), actions (here: measurements and development scenario), transition function (probabilities of transitioning from one state to the next), and rewards (costs for measurements, Expected Monetary Value (EMV) of development options). Solving the MDP gives the optimum policy, sequence of the decisions, the Probability Of Maturation (POM) of a project, the Expected Monetary Value (EMV), the expected loss, the expected appraisal costs, and the Probability of Economic Success (PES). These key performance indicators can then be used to select in a portfolio of projects the ones generating the highest expected reward for the company. Combining the production forecasts from numerical model ensembles with probabilistic capital and operating expenditures and economic parameters allows for quantitative decision making under uncertainty.
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