Central Limit Theorem-based Stochastic Economic Evaluation (CLT-SEE) Model for Evaluating Oil Wells: Case Study from Niger Delta, Nigeria

Djoï N. André, Nwosu I. Joseph, I. S. Sunday
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Abstract

Oil and natural gas production has been highly contributing to world economy and is some countries’ economy root. After the discovery of a new oil/gas field, the operator has to decide whether or not to develop that field. Such decisions rely on the economic evaluation of potential oil/gas fields development when they will be discovered and of the proven oil/gas reserves. The economic indicators used for that purpose are actually computed with deterministic and/or stochastic methods. Deterministic models show limitations while stochastic ones reduce the risks and doubts in the decision making. Stochastic models require the knowledge of the probability distribution of the model inputs, what is costeous in terms of software, data and conditions to be satisfied. Our study proposes a technique, called “Central Limit Theorem-based Stochastic Economic Evaluation (CLT-SEE) Model’’ that eases projects NPV probability distribution determination and the computation of P10, P50 and P90 of projects NPV, IRR and PI. A case study is carried out on a Nigerian’s Niger Delta onshore oil well. The results show the well NPV, IRR and PI are respectively MM$ 84.112, 24.5%, 1.169. The well project P10(NPV), P50(NPV) and P90(NPV) are respectively MM$ 96.4, MM$ 84.16 and MM$ 71.89; P10(IRR), P50(IRR) and P90(IRR) are respectively 27%, 24.75% and 22%; P10(PI), P50(PI) and P90(PI) are respectively 1.34, 1.17 and 1. These stochastic outputs show that the company has 90% of chance to earn at least MM$ 71.89 which is its investment and the likelihood that the project IRR be more than 22% is 0.9. As a result, the use of CLT-SEE model for oil wells economic evaluation offers much more chance and confidence to oil companies to decide righteously in field and well development projects.
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基于中心极限定理的随机经济评价(CLT-SEE)油井评价模型——以尼日利亚尼日尔三角洲为例
石油和天然气生产对世界经济的贡献很大,是一些国家经济的根本。在发现新的油气田后,作业者必须决定是否开发该油田。这些决策依赖于对潜在油气田开发的经济评估,何时发现这些油气田,以及已探明的油气储量。用于此目的的经济指标实际上是用确定性和/或随机方法计算的。确定性模型具有一定的局限性,而随机模型减少了决策过程中的风险和疑虑。随机模型需要了解模型输入的概率分布,这在软件、数据和条件方面是非常昂贵的。本研究提出了一种“基于中心极限定理的随机经济评价(CLT-SEE)模型”技术,简化了项目NPV概率分布的确定以及项目NPV、IRR和PI的P10、P50和P90的计算。以尼日利亚尼日尔三角洲的一口陆上油井为例进行了案例研究。结果表明,该井净现值为84.112美元,内部收益率为24.5%,净收益率为1.169美元。井项目P10(NPV)、P50(NPV)和P90(NPV)分别为96.4、84.16和71.89美元;P10(IRR)、P50(IRR)和P90(IRR)分别为27%、24.75%和22%;P10(PI)、P50(PI)和P90(PI)分别为1.34、1.17和1。这些随机输出表明,该公司有90%的机会赚取至少MM$ 71.89,这是它的投资,项目内部收益率超过22%的可能性是0.9。因此,利用CLT-SEE模型进行油井经济评价,为石油公司在油田和油井开发项目中做出正确决策提供了更多的机会和信心。
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