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Real-time prediction of tensile and uniaxial compressive strength from artificial intelligence-based correlations

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Abstract

The study of the geomechanical parameters is necessary for field planning and development. Two of the most critical parameters used to describe the rock strength are the tensile (Ts) and the uniaxial compressive strength (UCS). Measuring these two parameters in the lab is time-consuming. Consequently, non-destructive methods have been developed to predict these parameters fast and reliable. Field drilling data can be reliable, continuous, and rapid technology in predicting UCS and Ts. Herein, an artificial neural intelligence network (ANN) predicts Ts and UCS from actual drilling data collected from two fields in the Middle East. The data include rate of penetration (ROP), weight on bit (WOB), torque (T), drilling fluid injection rate (Q), and the standpipe pressure (SPP). Several sensitivity analyses were conducted to optimize the models’ parameters and inputs, followed by extracting the weights and biases for develo** ANN-based relations for Ts and UCS. The results showed that the ANN was highly accurate during the training phase in predicting UCS with an AAPE of 0.28%, and Ts with an AAPE of 0.28%. The developed correlation effectively predicted Ts and UCS for an average AAPE of 0.59 % during the testing phase and only 0.65 % for the validation data set for both parameters. This method provides a real-time effective tool for predicting the strength parameters in continuous, fast, and reliable measurements from the drilling field data.

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Abbreviations

AI :

artificial intelligence

ANN :

artificial neural network

ANFIS :

adaptive neuro-fuzzy inference system

ML :

machine learning

FIS :

fuzzy inference system

SFS :

Stochastic Fractal Search

R :

correlation coefficient

AAPE :

absolute average percentage error

IWO :

invasive weed optimization

PSO :

particle swarm optimization

Rn :

Schmidt hammer rebound number

Vp :

p-wave velocity

Is50 :

point load strength index

BTS :

Brazilian tensile strength

BPI :

block punch index

RL :

lithology type

W :

weathering grade

CPI :

cylinder punch index

UCS :

unconfined compressive strength

Ts :

tensile strength

y i :

dependent parameter

x i :

independent parameter

σ x :

standard deviation of independent parameter

σ y :

standard deviation of independent parameter

μ x :

mean of independent parameter

μ y :

mean of dependent parameter

WOB :

weight on bit

ROP :

rate of penetration

Q :

drilling fluid injection rate

T :

torque

SPP :

standpipe pressure

SDI :

four cycle slake durability index

Id4 :

four-cycle SDI (%)

μ:

Poisson’s ratio

b:

dry unit weight kN/m3

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Acknowledgements

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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Correspondence to Salaheldin Elkatatny.

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Conflict of interest

The authors declare that that they have no competing interests.

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Responsible Editor: Santanu Banerjee

Appendix

Appendix

Unit conversion table

SI metric conversion factors

cP × 1*

E-03 = Pa s

(°F-32) × 5/9 + 273.15

E+00 = K

in. × 2.54*

E-02 = m

psi × 145.038

MPa

  1. *Conversion factor is exact
Table 10 A detailed sample of the collected data sets that have been used in the study

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Hiba, M., Ibrahim, A.F. & Elkatatny, S. Real-time prediction of tensile and uniaxial compressive strength from artificial intelligence-based correlations. Arab J Geosci 15, 1546 (2022). https://doi.org/10.1007/s12517-022-10785-0

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  • DOI: https://doi.org/10.1007/s12517-022-10785-0

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