Estimation and Applications of Uncertainty in Methane Emissions Quantification Technologies: A Bayesian Approach

Augustine Wigle*, Audrey Béliveau, Daniel Blackmore, Paule Lapeyre, Kirk Osadetz, Christiane Lemieux and Kyle J. Daun, 
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Abstract

An accurate understanding of uncertainty is needed to properly interpret methane emission estimates from upstream oil and gas sources in a variety of contexts, from component-level measurements to yearly jurisdiction-wide inventories. To characterize measurement uncertainty, we examine controlled release (CR) data from five different technology providers including quantitative gas imaging (QOGI), tunable diode laser-absorption spectroscopy (TDLAS); and airborne near-infrared hyperspectral (NIR HS) imaging. We introduce a novel empirical method to develop probability distributions of measurements given a true emission rate using the CR data. The approach includes flexible likelihoods which capture complex relationships in the data. An algorithm which provides the distribution of the true emission rate given a measurement is also developed, which synthesizes the measurement with the CR data and external information about the possible true emission rate. The results show that flexible models that accommodate complex nonlinear behavior are needed to adequately model measurement error. We also show that measurement error can vary under different conditions. We demonstrate that measurement uncertainty can be reduced by performing repeated measurements. A limitation of the study is that the collected CR data is collected under controlled conditions that may differ from those in industrial settings. As new CR data become available, the models presented in this paper can be refit to consider more diverse scenarios. The methodology can be extended to explicitly model different conditions to improve performance.

The uncertainty in measurements from methane emissions quantification technologies has important implications for emissions monitoring and reduction efforts. We show how a novel flexible model can be used to quantify measurement uncertainty.

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甲烷排放定量技术中不确定性的估计与应用:贝叶斯方法
需要准确了解不确定性,才能在各种情况下正确解释上游石油和天然气源的甲烷排放估计值,从组件级测量到年度全辖区清单。为了描述测量的不确定性,我们检查了来自五个不同技术提供商的控制释放 (CR) 数据,包括定量气体成像 (QOGI)、可调谐二极管激光吸收光谱 (TDLAS) 和机载近红外高光谱 (NIR HS) 成像。我们引入了一种新颖的经验方法,利用 CR 数据在给定真实发射率的情况下开发测量概率分布。该方法包括灵活的似然,可捕捉数据中的复杂关系。此外,还开发了一种算法,可根据测量结果提供真实发射率的分布情况,该算法将测量结果与 CR 数据以及有关可能的真实发射率的外部信息进行综合。研究结果表明,要对测量误差进行充分建模,就必须建立能适应复杂非线性行为的灵活模型。我们还表明,测量误差会在不同条件下发生变化。我们证明,通过重复测量可以减少测量误差。这项研究的局限性在于,所收集的 CR 数据是在受控条件下收集的,可能与工业环境下的数据不同。随着新的 CR 数据的出现,本文中介绍的模型可以进行改装,以考虑更多不同的情况。甲烷排放量化技术测量结果的不确定性对排放监控和减排工作具有重要影响。我们展示了如何使用新颖灵活的模型来量化测量的不确定性。
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