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ÇAĞRILI KONUŞMALAR / KEYNOTES Invited Speeches ... - TPJD

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Quantification of Uncertainty in Petroleum, Natural Gas and Geothermal<br />

Engineering Applications<br />

Ömer İnanç Türeyen, Mustafa Onur<br />

İstanbul Technical University, Faculty of Mines, Department of Petroleum and Natural Gas<br />

Engineering, İstanbul<br />

The ultimate goal in any petroleum, natural gas or geothermal reservoir engineering study<br />

is to make performance predictions. Some of the variables to be predicted are pressures,<br />

recoverable oil, recoverable gas, recoverable heat from geothermal reservoirs, water cut, gas<br />

oil ratio and etc. Making predictions is vital for the economical exploitation of the resources.<br />

What is more important is the quantification of the uncertainty related to the predictions.<br />

Uncertainty in all future predictions is inherent due to (i) measurement errors or noise in the<br />

data, (ii) lack of data, (iii) modeling errors, (iv) span of the available observed data and (v) the<br />

non-linear relationship between the data and the model response. In this study we present an<br />

overview of the methodologies used to quantify the uncertainty in future predictions from oil,<br />

gas and geothermal reservoirs. We will present synthetic applications of various techniques for<br />

quantifying the uncertainty of gas in place for gas reservoirs, of heat in place for geothermal<br />

reservoirs, of water cut from oil wells and of pressure and temperature predictions using<br />

tank models for geothermal reservoirs. The techniques discussed will cover the Monte Carlo<br />

method, the analytical uncertainty propagation equation, the gradual deformation method, the<br />

randomized maximum likelihood method and the more recent Ensemble Kalman Filter method.<br />

Keywords: Reservoir engineering, data integration, history matching<br />

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