Abstract
The experimental Poisson’s ratio prediction is time-consuming and expensive and resulted in discontinuous profile. Besides, the limited applicability of the existing empirical correlations highlights the application of artificial intelligence with its booming utilization in petroleum industry. The purpose of this work is to develop several artificial intelligence models for predicting real-time static Poisson’s ratio of complex lithology while drilling. The artificial neural network (ANN), adaptive neuro-fuzzy inference system (ANFIS), and support vector machine (SVM) techniques were utilized using the drilling parameters as inputs. Data points (1775) from a vertical well, containing sand, shale, and carbonate lithologies, were used to develop the models. The models were validated using different dataset from another well. New empirical correlation was extracted based on the optimized ANN approach. The three developed models predicted the static Poisson’s ratio at good matching accuracy. The correlation coefficient (R) and average absolute percentage error (AAPE) of the developed models range from 0.95 to 0.96 and 2.18 to 5.79% for training process, respectively, while in testing process, the R and AAPE values range from 0.92 to 0.93 and 5.81 to 6.74%. The validation process confirmed the reliability of the developed models with R values of 0.90, 0.91, and 0.90 and AAPE of 6.57, 7.25, and 8.12% for SVM, ANFIS, and ANN approaches, respectively. The developed ANN-based model was switched into a white box model with new empirical correlation, which is applicable with the extracted weights and biases. The constructed models can predict inexpensively the static Poisson’s ratio for multiple lithologies in real-time at reasonable accuracy.
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Abbreviations
- AAPE:
-
average absolute percentage error
- ACE:
-
alternating conditional expectation
- AI:
-
artificial intelligence
- ANFIS:
-
adaptive neuro-fuzzy inference system
- ANN:
-
artificial neural network
- DE:
-
differential evolution algorithm
- FL:
-
fuzzy logic
- FN:
-
functional networks
- newff:
-
feed forward neural network function
- ROP:
-
rate of penetration, ft/h
- RPM:
-
rotation speed, rotation per minute
- SPP:
-
standpipe pressure, psi
- SVM:
-
support vector machines
- T:
-
torque, klbf.ft
- tansig:
-
hyperbolic tangent sigmoid transfer function
- trainbr:
-
Bayesian regularization backpropagation training function
- WOB:
-
weight on bit, klbm
- a, b, c, and d :
-
different empirical constants
- b i :
-
biases of input layer
- i :
-
neuron index
- NN :
-
number of neurons
- Q :
-
pumping rate, gal/minute
- R :
-
correlation coefficient
- V P :
-
compressional-wave velocity, km/s
- V S :
-
shear-wave velocity, km/s
- V Sh :
-
shale volume factor
- v dyn :
-
dynamic Poisson’s ratio
- v st :
-
static Poisson’s ratio
- w 1 :
-
weights between input and hidden layers
- w 2 :
-
weights between hidden and output layers
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The authors would like to thank King Fahd University of Petroleum & Minerals (KFUPM) for employing its resources in conducting this work.
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Conceptualization: S. ElkatatnyMethodology: A. AhmedSoftware: A. AhmedFormal analysis: A. AhmedInvestigation: A. AbdulraheemData curation: S. ElkatatnyWriting - original draft preparation: A. AhmedWriting - review and editing: S. Elkatatny and A. AbdulraheemSupervision: S. Elkatatny and A. AbdulraheemAll authors have read and agreed to the published version of the manuscript.
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Ahmed, A., Elkatatny, S. & Abdulraheem, A. Real-time static Poisson’s ratio prediction of vertical complex lithology from drilling parameters using artificial intelligence models. Arab J Geosci 14, 436 (2021). https://doi.org/10.1007/s12517-021-06833-w
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DOI: https://doi.org/10.1007/s12517-021-06833-w