Modelling the Effects of Temperature and Pressure on Equivalent Circulating Density (ECD) During Drilling Operations Using Artificial Neural Networks

Stanley Ifeanyi Fredrick Okonkwo *

World Bank African Centre of Excellence for Oilfields Chemical Research (ACE-CEFOR), University of Port Harcourt, UNIPORT, Nigeria.

Ogbonna Friday Joel

Department of Petroleum and Gas Engineering, World Bank African Centre of Excellence for Oilfields Chemical Research (ACE-CEFOR), University of Port Harcourt, UNIPORT, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

Incorrect evaluation of equivalent circulating density (ECD) while drilling oil and gas wells may result in drilling problems such as lost circulation, kicks, differential pipe sticking etc especially in narrow drilling margins. Due to the incompressible nature of liquids, increase in wellbore pressure will only have appreciable effect on the fluid rheology at higher pressures, whereas a small increase in temperature may cause a decrease in the rheology. One thousand and eleven (1,011) field data obtained from high pressure; high temperature (HPHT) wells were used to develop artificial neural networks (ANNs) for this study. Training data were used to train the network while validation data were used to guarantee that the network generalizes at the training stage. Test data were used to evaluate the prediction capability of the developed model. Four error metrics, namely R-square (R2), mean square error (MSE), root mean square error (RMSE) and average absolute percentage error (AAPE) were used to assess the performance of the developed networks. Forecasts from the testing data indicate the optimized ECD model produced a prediction accuracy; R2 of 0.9993, MSE of 0.000265, RMSE of 0.01628 and AAPE of 0.337. The optimized ECD model performed better than existing ECD models in terms of the prediction accuracy and the calculated errors. The developed ECD model will help in improving the ECD prediction during the pre-drill design phase, which is quite critical in narrow drilling margin wells.

Keywords: Equivalent circulating density, Artificial Neural Networks (ANNs), model, prediction, High Pressure High Temperature (HPHT), error metrics


How to Cite

Okonkwo , S. I. F., & Joel , O. F. (2023). Modelling the Effects of Temperature and Pressure on Equivalent Circulating Density (ECD) During Drilling Operations Using Artificial Neural Networks. Journal of Engineering Research and Reports, 25(9), 70–82. https://doi.org/10.9734/jerr/2023/v25i9982

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References

Behnoud far P, Hosseini P. Estimation of lost circulation amount occurs during under balanced drilling using drilling data and neural network. Egyptian Journal of Petroleum. 2017;26(3):627-634.

Available:https://doi.org/10.1016/j.ejpe.2016.09.004

Mekanik F, Imteaz M, Gato-Trinidad S, Elmahdi A. Multiple regression and artificial neural network for long term rainfall forecasting using large scale climate modes. Journal of Hydrology. 2013;503(2): 11–21. Available:https://doi.org/10.1016/j.jhydrol.2013.08.035

Demuth H, Beale M, Martin H. Neural Network Toolbox Users Guide. Version 6. The Mathworks, Inc. 2009;906.

Aalst WMP, Rubin V, Verbeek HMW, Van Dongen BF, Kindler E, Günther CW. Process mining: A two-step approach to balance between underfitting and overfitting. Software Systems Modelling. 2010;9(1):87–111. DOI: 10.1007/s10270-008-0106-z

Shadravan A, Amani M. HPHT 101: What Every Engineer or Geoscientist Should Know about High Pressure High Temperature Wells; 2012. DOI: 10.2118/163376-MS

Highoose Limited. Health and Safety Executive. High pressure, high temperature evelopments in the United Kingdom Continental Shelf. Aberdeen AB 15 9LJ, UK; 2005.

Available:https://www.hse.gov.uk/research/rrpdf/rr409.pdf

Ibeh CS. Investigation on the effects of ultra-high pressure and temperature on the rheological properties of oil-based drilling fluids. Master's thesis, Texas A&M University; 2007.

Available:https://hdl.handle.net/1969.1/ETD-TAMU-2569

Oriji AB. A New Approach to drilling fluids engineering in HPHT Environments. LAP Lambert Academic Publishing, Deutschland, Germany; 2015. Available:https://www.bol.com/nl/nl/p/a-new-approach-to-drilling-fluids-engineering-in-hpht-environments/9200000050010006/

Auwalu IM, Zahra IZ, Adamu MB, Usman AL, Sulaiman AD. Effectiveness of Simulations on Well Control during HPHT Well Drilling. Paper presented at the SPE Nigeria Annual International Conference and Exhibition, Lagos, Nigeria; August 2015. DOI: https://10.2118/178281-MS

Joel O, Oriji A. Accurate estimation of equivalent circulating density during high pressure High Temperature (HPHT) Drilling Operations. Society of Petroleum Engineers Journal; 2012.

Vajargah A, Fard F, Parsi M, Buranaj Hoxha B. Investigating the impact of the tool joint effect on equivalent circulating density in deep-water wells. Society of Petroleum Engineers - SPE Deepwater Drilling and Completions Conference; 2014. Available:https://10.2118/170294-MS

Gamal H, Abdelaal A, Elkatatny S. Machine learning models for equivalent circulating density Prediction from Drilling Data. ACS Omega 2021;6(41):7430–27442. Available:https://10.1021/acsomega.1c04363

Rommetveit R, Bjorkevoll KS. Temperature and pressure effects on drilling fluid rheology and ECD in Very Deep Wells. Society of Petroleum Engineers; 1997. Available:https://10.2118/39282-MS

Ahmadi MA, Shadizadeh SR, Shah K, Bahadori A. An accurate model to predict drilling fluid density at wellbore conditions. Egyptian Journal of Petroleum. 2018; 27(1):1–10.

Available:https://10.1016/j.ejpe.2016.12.002

Abdelgawad KZ, Elzenary M, Elkatatny S, Mahmoud M, Abdulraheem A, Patil S. New approach to evaluate the equivalent circulating density (ECD) using artificial intelligence techniques. Paper presented at the SPE Kingdom of Saudi Arabia Annual Technical Symposium and Exhibition, Dammam, Saudi Arabia; 2019, April 2018. DOI: https://doi.org/10.2118/192282-MS

Shruti M. AI vs Machine Learning vs Deep Learning: Know the Differences. Simpli Learn; 2023. Available:https://www.simplilearn.com/tutorials/artificial-intelligence-tutorial/ai-vs-machine-learning-vs-deep-learning

Agwu OE, Akpabio JU, Alabi SB, Dosunmu A. Artificial intelligence techniques and their applications in drilling fluid engineering: A review, Journal of Petroleum Science and Engineering. 2018; 167(2018):300-315.

ISSN 0920-4105. Available:https://doi.org/10.1016/j.petrol.2018.04.019 Available:https://www.sciencedirect.com/science/article/pii/S0920410518303255

West DM, Allen JR. Brookings. How artificial intelligence is transforming the world. Tuesday; April 24, 2018. Available:https://www.brookings.edu/research/how-artificial-intelligence-is-transforming-the-world/

Alkinani HH, Al-Hameedi A, Dunn-Noman S, Al-Alwani MA, Mutar RA, Al-Bazzaz W. Data-Driven Neural Network Model to Predict Equivalent Circulation Density ECD. Presented at the SPE Gas and Oil Technology Showcase and Conference, Dubai, UAE; Society of Petroleum Engineers. 21-23 October, 2019;SPE-198612:1−9. Available:https://10.2118/198612-MS

Available:https://onepetro.org/SPEGOTS/proceedings-abstract/19GOTS/2-19GOTS/D021S010R001/218266

Alsaihati A, Elkatatny S, Abdulraheem A. Real-Time Prediction of Equivalent Circulation Density for Horizontal Wells Using Intelligent Machines. ACS Omega. 2021;6(1):934–942.

Available:https://10.1021/acsomega.0c05570

Adamowski J, Chan HF, Prasher SO, Sharda VN. Comparison of multivariate adaptive regression splines with coupled wavelet transform artificial neural networks for runoff forecasting in Himalayan micro-watersheds with limited data. Journal of Hydrodynamics. 2012;14(3):731–744.

Available:https://doi.org/10.2166/hydro.2011.044

Badrouchi F, Rasouli V, Badrouchi N. Impact of hole cleaning and drilling performance on the equivalent circulating density. Journal of Petroleum Science and Engineering. 2022;211:110150.

Available:https://10.1016/j.petrol.2022.110150

Galliano C. What is ECD? A Primer on What Affects Equivalent Circulating Density; 2012.

Available:https://www.linkedin.com/pulse/20141209152635-8836585-what-is-ecd-a-primer-on-what-affects-equivalent-circulating-density/

Al-Rubaii M, Al-Shargabi M, Aldahlawi B, Al-Shehri D, Minaev KM. A Developed Robust Model and Artificial Intelligence Techniques to Predict Drilling Fluid Density and Equivalent Circulation Density in Real Time. Sensors. 2023 Jul 21;23(14):6594.

Kandil A, Khaled S, Elfakharany T. Prediction of the equivalent circulation density using machine learning algorithms based on real-time data. AIMS Energy. 2023 May 1;11(3).

Abdelaal A, Elkatatny S, Gamal H, Ziadat W. Drilling Data Based Approach for Equivalent Circulation Density Prediction While Drilling. In57th US Rock Mechanics/ Geomechanics Symposium; 2023 Jun 25. One Petro.