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Integrated Drilling Geomechanics Analysis Using Poro-Elasto-Plastic
Finite Elements and Machine Learning
Osaki Lawson-Jack
Department of Physics and Geology, Federal University Otuoke, Bayelsa State, Nigeria
DOI: https://dx.doi.org/10.51244/IJRSI.2025.12110074
Received: 13 October 2025; Accepted: 22 October 2025; Published: 09 December 2025
ABSTRACT
This study will deal with the essential weaknesses of traditional elastic models to predict wellbore instability
that in most cases results in expensive drilling procedures. The aim of this study is to develop an integrated
drilling geomechanics analysis using Poro-Elasto-Plastic finite elements and machine learning. The objectives
are to, integrate drilling operations using a poro-elasto-plastic Finite Element Model; integrate drilling operations
using machine learning algorithms. The analysis evolves a synthesized framework that combines a poro-
elastoplastic Finite Element Model (FEM) and a Machine Learning (ML) to allow a dynamic and precise
geomechanical analysis. A Drucker-Prager yield criterion has been used in the FEM to model the effects of
plastic deformation and time-dependent effects of pore pressure around the wellbore in a realistic manner.
Afterward, the ML surrogate models are trained using the outputs of the FEM in order to provide fast real-time
predictions. Findings indicate that the hybrid model is able to properly measure the plastic yield zone and can
give a dynamically updated safe mud weight window, which is much better than the traditional methods of doing
so. The conclusion confirms that such integration forms a powerful digital twin, which allows making decisions
in advance to increase the safety of drilling, streamline operations, and minimize non-productive time, thereby
creating a new paradigm of wellbore stability management.
Keywords: Integrated Drilling Geomechanics, Pror-Elasto-Plastic, Machine Learning, and Agbami Oilfield.
INTRODUCTION
Geomechanical issues like instability of wellbore and breakouts of well-borings continue to be a leading reason
of non-productive time in the oil and gas sector and especially in intricate and profound oil reservoirs (Zhang et
al., 2022; Osaki et al 2025a). Conventional forms of analysis have difficulties in taking into account the
complexity of such problems which are time-dependent, and coupled thermal-hydraulic-mechanical processes.
However, Poro-elasto-plastic finite element modeling, which is an advanced numerical model, has proven to
have substantial potential in offering a more realistic simulation of wellbore response through modeling of plastic
deformation and failure of the rock the rock beyond the yield point (Gladious, et al., 2025). These high-fidelity
models are however computation intensive. At the same time, machine learning (ML) has become an effective
instrument in geotechnical engineering and can determine complex trends within big amounts of data to improve
predictive accuracy beyond the bounds of traditional techniques (Khan, et al., 2025).
In this study, a structure that enhances a fully coupled poro-elastoplastic finite element model was executed and
combined with machine learning algorithms. The task is to establish a strong and effective predictive tool that
can not only help to increase the accuracy of the forecast of wellbore stability, but also costs a lot less to compute,
which, in turn, will allow making real-time geomechanical decisions during the drilling process.
Aim and Objectives
The aim of this study is to develop an integrated drilling geomechanics analysis using Poro-Elasto-Plastic finite
elements and machine learning. The objectives are to;
1. integrate drilling operations using a poro-elasto-plastic Finite Element Model;
2. integrate drilling operations using machine learning algorithms.
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Location of the Study Area
Agbami Field is a great field to conduct research on integrated drilling geomechanics based on poroelasto-plastic
finite element based on machine learning. This large deep offshore field is at the central Niger Delta in Nigeria,
about 1,500 meters of water and with a complicated geology, containing a deep-water turbiditic sandstone
reservoir with a structural trap which is a four-way rollover anticline cored by a reverse fault and upwardly
mobile shale (Emudianughe et al., 2021). This is a geomechanically complex environment, which is enhanced
by factors such as seismic data constraints and thrust faults, making it a prime geomechanical environment to be
studied through an advanced method (Amadike et al., 2024;Osaki & Oghonyon, 2025b).
This setting is most appropriate with the application of a machine-learning-assisted poro-elasto-plastic Finite
Element Method (FEM) (Komijani, 2024). This combined method has the capability of dynamically forecasting
wellbore failure and revising safe mud weight margin through the processing of on-the-fly drilling information
and offset well information and thus overcoming the constraints of the traditional unchanging models. The model
would directly respond to geomechanical risks in Agbami Field, which would help to reduce unproductive time,
improve the safety and efficiency of drilling in this complicated deepwater setting (AlBahrani et al., 2021).
Fig. 1: Map of Agbami Field Showing the Oil Field, Gas Field, Liquification Plant, FPSO, and African Oil Assert
Area (Beckman, 2024).
LITERATURE REVIEW
Linear-elastic assumption and analytical solutions are commonly used to describe the traditional wellbore
stability analysis and they do not work well to predict the complex, time-dependent Thermo-Hydro-Mechanical
(THM) coupled processes in rocks, thus resulting into non-productive time and inaccurate prediction (Jamshidi
et al., 2024). In order to overcome these shortcomings, the present-day research trend has changed to more
advanced computational models.
One of the major improvements is the creation of poro-elasto-plastic FEM models. The models model the
realistic mechanical behaviour of rocks that implicates plastic yielding and post failure behaviour which is
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important in the analysis of wellbore breakout. In addition, they use coupled THM processes to capture the most
important effects of redistribution of the pore pressure, and the thermal stresses caused by the temperature
difference between drilling fluid and the formation. These thermo-poroelastic effects have a major impact on
shear failure and the stable mud window and thus they play a vital role in the modern-day drilling activities
Pirhadi, et al., (2025).
Machine Learning has become one of the effective geomechanical analysis tools. Artificial Neural Networks
(ANNs), Random Forest (RF) and Support Vector Machines (SVR) are now commonly used as ML algorithms
to directly predict rock mechanical properties such as uniaxial compressive strength (UCS), cohesion and friction
angle using only drilling data (Liu et al., 2024; Osaki & Oghonyon, 2025). Khan, et al., (2025) noted that, the
main advantage of ML is that it can model non-linear, complex relationships that are computational, providing
an alternative to physics-based simulation that is fast. The latest line of research development is the combination
of these two directions. In a seminal work, AlBahrani et al. (2021) suggested an integrated scheme, such that a
poro-elasto-plastic FEM model is employed to produce training data to be used on the ML algorithms. This
hybrid model is a continuous updating of the safe mud weight window with real-time drilling data that makes
up a dynamic model of geomechanics that by far is more accurate than the traditional models of geomechanics
which is described as a pre-drilling model. The goals of this integration are to address the prohibitive cost of
high-fidelity FEM simulations as well as capitalize on the speed of ML to generate real-time decisions, which
will be a major milestone toward end-to-end intelligent and adaptive drilling optimization (Nautiyal & Mishra,
2023).
METHODOLOGY
Data Collection
Data Sourcing and Integration: The process of using Poro-Elasto-Plastic Finite Elements and Machine
Learning for Geomechanics analysis starts with the collection of a multi-scale dataset. These are geophysical
well logs (e.g., sonic, density, neutron), direct downhole measurements, such as Leak-off Tests (LOT) to calibrate
the stress, and laboratory analyses on core plugs to measure the statically rock strength and elastic properties.
One of them involves empirical correlations obtained through statistical analysis of laboratory and log data to
estimate at any given time parameters such as UCS and static Youngs modulus over the entire formation interval
(Chamanzad et al., 2025).
Pore Pressure and In-Situ Stress Determination: The pore pressure is calculated using a direct measurement
of tools such as the Modular Formation Dynamics Tester (MDT) when available. The in-situ stresses magnitudes
and direction are tuned by combining LOT data with measurements of wellbore failures (e.g. breakouts, tensile
fractures) to make the model reflect the real-world situation (Chamanzad et al., 2025).
Table 1: The Core Geomechanical Data and the Parameters used to Measure Them in Drilling Geomechanics
The following are the formulae for the geomechanical parameters;
𝜎
Young Modulus E = ………………………………………… i
𝜖
Geomechanical Data
Geomechanical P
arameters
Rock Properties
Young’s Modulus, Poisson’s Ratio, Unconfined Compressive Strength,
Cohesion, and Friction Angle.
In
-
Situ Stresses
Vertical Stress (Sv), Minimum & Maximum Horizontal Stresses (Shmin,
SHmax).
Pore Pressure
Pore Pressure
Source:
Sanei et al., (2023)
.
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Where E = Young Modulus
𝜎 = Stress
𝜖 = Strain
𝜖𝑙𝑎𝑡𝑒𝑟𝑎𝑙
Poisson’s Ratio = v = ………………………………… ii
𝜖𝑎𝑥𝑖𝑎𝑙
Where v = Poisson ratio
𝜖𝑙𝑎𝑡𝑒𝑟𝑎𝑙 = Lateral strain
𝜖𝑎𝑥𝑖𝑎𝑙 = Axial strain
𝑃𝑚𝑎𝑥
Unconfined Compressive Strength (UCS) = ………………… iii
𝐴𝑜
Where 𝑃𝑚𝑎𝑥 = The maximum axial load
Ao = The initial cross-sectional area of the specimen before testing
Friction Angle τ= c+ 𝜎
n
tanφ…………………………………... iv
Where τ = shear strength
C = cohesion
𝜎
n
= Normal Stress φ =
Angle of Internal Friction
C. Poro-Elasto-Plastic Finite Element Analysis
Model Setup and REV Analysis: A 3D finite element model of wellbore and reservoir section is drawn. A
Representative Elementary Volume (REV) analysis were done to control the cost of computation. This is to make
sure that the simulated volume is large enough to be representative of the entire formation and yet
computationally efficient. The calibrated in-situ stresses, pore pressure and rock properties are included in the
model (Lindqwister et al., 2025).
Constitutive Model and Simulation: The most important one is a poro-elasto-plastic constitutive model. The
model takes into consideration both the time-dependent, fluid-coupled (poro-elastic) creep-deformation of the
rock and its passage to irreversible (plastic) failure, which is critical to the successful prediction of wellbore
collapse and fracture initiation. A set of simulations are performed in order to produce a rich set of well-boring
responses in different conditions that underlie the training of the MLs (Li et al., 2019).
D. Machine Learning Model Development
Artificial Neural Network: An Artificial Neural Network (ANN) is a computer-based model that learns
complex nonlinear relationships between geotechnical data to be able to forecast soil and rock behavior,
including settlement or strength, that is usually challenging to model using conventional models (Al-Haddad et
al., 2025).
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Fig. 2: Artificial Neural Network Showing the Layers fit for Integrating Drilling Geomechanics Analysis
Random Forest Regression: On heterogeneous tabular drilling and geomechanics datasets, such as those with
missing values, mixed numeric features, and nonlinear interactions between geology, drilling parameters, and
FE-derived predictors include tree methods, which are, Random Forest, XGBoost, and LightGBM that perform
exceptionally well. They offer interpretable feature importance and partial-dependence analysis, which are
helpful for determining which stress-or-pore parameters have the greatest influence on instability, along with
strong baseline predictive accuracy for regression (borehole deviation, ROP) and classification (wellbore
stability states). Gradient-boosted trees can be combined with FE outputs as engineered features to capture
signals that are informed by physics, and they frequently achieve higher accuracy after careful hyperparameter
tuning (Yan et al., 2023).
Fig. 3. Random Forest Algorithm Model (Zhang et al., 2021).
Gaussian Process Regression: For risk assessment drilling decisions, Gaussian Process Regression offers a
probabilistic stand-in for FE outputs that directly measures predictive uncertainty e.g., confidence intervals on
predicted pore-pressure increase or fracture risk. Due to its nonparametric versatility, GPR can be used as an
emulator for costly poro-elasto-plastic simulations in Bayesian calibration or active learning loops, as well as to
model smooth spatial/parameter fields such as stiffness and permeability. Contemporary sparse GPR variants
allow integrated workflows for sensitivity, inversion, and optimal data acquisition while scaling to larger datasets
while maintaining uncertainty estimates (Nguyen et al., 2025).
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Fig. 4: Gaussian Process Regression (Nguyen et al., 2025).
RESULT AND DISCUSSION
F. Poro-Elasto-Plastic Finite Element
In order to use Poro-Elasto-Plastic Finite Element in integrated drilling operations in Agbami oil field, the
precision and consistency of three distinct coupling schemes on the pore pressure and displacement were tested
with a variety of permeability, elastic modulus, and Biot coefficient. It is expedient to show that the fixed stress
schemes can work with a similar precision like the fully coupled scheme in a computationally efficient manner.
Yoon et al., (2022) opined that, the fixed stress scheme needs the refined numerical tolerance to attain a target
accuracy at low permeable cases. However, this study revealed that, the fixed stress scheme is numerically far
more stable than the fully coupled scheme in the low permeable cases where the fully coupled scheme employs
finite elements with the same order interpolation elements in both displacement and pore pressure. One special
case of Terzaghi problem of two layers was examined after three base benchmark problems. The fixed stress
schemes work relatively well (Figure 5a&b) and extremely well (Figure 5c-d) as indicated in Figure 3. In the
cases in Figure 5a&b, the permeability of saline aquifer (A) is less than sandstone (S) and the pressure has to
dissipate slowly to the top boundary. This leads to the loss of numerical accuracy, which needs the fine tolerance
in specific cases of the fixed stress scheme. It can be stated that the fixed stress scheme is numerically sound and
stable as shown in this work. Therefore, this plan will be of great value to very nonlinear problems.
Fig 5: Pore pressure profile for two-layer Terzaghi problem at mid-point of each layer for (a-b) saline aquifer
(A) top layer and sandstone (S) base layer and (c-d) sandstone (S) top layer and saline aquifer (A) base layer.
Permeability (m
2
) and elastic modulus (GPa) for saline aquifer and sandstone are 3×10
-14
m
2
and 20 GPa, and
3×10
-12
and 16 GPa, respectively. FC, FS1, and FS2 represent the fully coupled, fixed stress scheme implemented
in Sierra/Aria simulation code, and fixed stress scheme implemented in Sierra/ Aria and Sierra/SM, respectively.
G. Elasto-plasticity
This is to test the fidelity of Sierra/Aria and Sierra/SM simulation codes on elasto-plasticity beyond the yield
point where elasticity is in force, the behavior of plastic is nonlinear. In the case of 1D Terzaghi problem, we
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employed a new analytical solution that Liu and Huang (2021) had developed in which plasticity is applied at
the drainage boundary and propagates to the undrained end. Another reason why Sierra/Aria lacks a plastic
material model is because we can test the coupling solution with Sierra/Arpeggio where Sierra/Aria is resolved
in pore pressure and Sierra/SM is resolved in the displacement as stated above. In the case of plasticity,
DruckerPrager model was applied. In the case of 2D plate problem, the analysis of elasto-plastic behavior is
conducted in the Galin plate with a hole in the center. The pore pressure is passive and hence, only Sierra/SM is
employed to solve the mechanics. Plasticity begins at the edges of the hole in the centre and this extends to the
plate. Numerical results were compared to analytical solution and the pore pressure, displacement, and the
location of elasto-plastic interface are well predicted. Good accuracy of numerical solutions of the 2D plate
problem is also evident, although not mentioned here. In the process of validation, the 2D elasto-plastic problem
with the wellbore breakout test in which the pore pressure is passive and the wellbore in Mancos shale has a
breakout, demonstrating the development of material failure, is also developed. Finalization of failure surface is
considered to be the development of plasticity to be compared with the model.
Fig. 6: Comparison of numerical results (Sierra/Arpeggio) with the Analytical solution. a) Time history of the
pore pressure at 10m from the drainage boundary, b) Time history of displacement at the drainage boundary (z
= 0), and c) Time history of the location of the elasto-plastic interface, showing its progression along the height
of the column over time. A schematic of 1D Terzaghi problem is shown in (c).
H. Machine Learning
The machine learning algorithm used to integrate the drilling geomechanics was based on the artificial neural
network (ANN) which can learn and model complex and non-linear relationships and is reported to create good
fitting functions. ANNs are a group of artificial neurons, which are constructed in a way that they communicate
through signals on the communicational connections. The input layer nodes do not alter the data, however, pass
them to the hidden layer. At the hidden layers, certain form of transformations is done to the input data using
some weight functions and then connected to the output layer that is related to the results we need.
To eliminate the impact of bad data (e.g., null value, bad log measurements) available data were filtered. The
model was built by creating a three-layer feed forward neural network with hidden neurons having sigmoid
functions and output neurons having linear functions. Training of the network was done using the
LevenbergMarquardt backpropagation algorithm.
The reason for this conversion is due to the difference in the measurement condition. Uniaxial compressive
strength (UCS) and friction angle (φ) were also estimated based on Plumb’s correlation. Calculated rock
properties for Well-1 are presented in figure 7.
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Fig. 7: Various elastic parameters for Well-1 after predicting the DTS; First track is showing: DT and DTS in
μs/ft along with RHOB (density) in g/cc, Second track is showing: Dynamic and static Young’s modulus in MPsi,
Third track is showing: Dynamic and static Poissons Ratio along with Biot’s coefficient, Forth track is showing:
Dynamic and static Bulk and shear Modulus in MPsi.
Fig. 8: In-situ stresses of Well-1 of Agbami field. The first track is showing: Poisson’s Ratio, Biot’s coefficient
and Young’s modulus, the second track is showing: Vertical stress, minimum horizontal stress, maximum
horizontal stress along with the pore pressure, the third track is showing friction angle and horizontal stress
azimuth.
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I. Comparative Performance
The comparative performance of the traditional and hybrid methods are presented in table 2 below.
Table 2: Comparative Performance Table Showing the Advantages of Hybrid Method over Traditional Method
Attribute
Traditional
Hybrid
Core methodology
Depends on a single modelling
technique, like the independent Finite
Element Method (FEM) for
geomechanical analysis.
Incorporates several approaches. For example,
Poro-Elasto-Plastic FEM and Machine
Learning (ML) algorithms are combined in one
known hybrid approach to produce an integrated
model.
Model Integration
and Workflow
Employs sequential, segregated
solution processes in which distinct
problem components, such as soil
deformation and fluid flow are
resolved independently.
Strives for a system that is more cohesive. The
hybrid model is intended to be an "Integrated
Drilling Geomechanics Model" in the drilling
context, combining FEM and ML.
Objective and Result
focusses on using well-established
physical models to forecast soil
response and pore pressure coupling
under load.
aims for real-time application and improved
predictive capabilities. The combined FEM-ML
model is appropriate for a real-time setting and
is used to forecast failure limits for new wells.
Flexibility and
Adaptability
The model is based on constitutive
relations (like Mohr-Coulomb) and
fixed physical parameters. It can take a
lot of computing power to update the
model with new data.
Through the use of machine learning, the model
may be able to learn from data and gradually
enhance its predictions, becoming more flexible
when dealing with fresh field data.
Implementation and
Efficiency
For complex, real-time scenarios,
highfidelity traditional FEM can be
computationally demanding, despite
its effectiveness in forecasting
reasonable soil responses.
The efficient prediction capabilities of the
hybrid FEM and ML approach suggest that the
ML component could aid in optimizing
computational resources for tasks such as real-
time forecasting.
CONCLUSION AND RECOMMENDATION
The study shows that poro-elasto-plastic Finite Element Modeling (FEM) and Machine Learning (ML) are the
next generation in the paradigm in drilling geomechanics. The FEM physics model is good at modeling complex
time-dependent behaviour of wellbores, such as plastic yield and pore pressure, and stretches past the limitations
of simplistic elastic models. ML algorithms optimally convert this high-fidelity output into real-time predictive
tools that can be used rapidly on wellbore stability.
The combination of such technologies forms a strong digital twin, which allows dynamically updated safe mud
window, which reacts to the real downhole conditions. This is a direct transfer to safer drilling, more efficient
mud programs, and a huge decrease in non-productive time due to instability of the wellbore. This combined
strategy is creating a new standard of preparation-driven and economical well building by closing the disconnect
between complicated simulation and operational decision-making, initiating the process of autonomous drilling
geomechanics in hard-to-reach locations.
The following recommendations are hereby made;
High-Fidelity Data Acquisition and Curation: Accuracy of the model is purely based on quality of the data.
It is important to develop a multi-well database of the Niger Delta that will be systematized and comprise logs,
core tests, and drill events. Removal of extraneous data and ability to extreme features is sensitive towards
training strong, dependable machine learning programs.
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Development and Validation of Real-Time Model Updating Protocols: The theoretical framework has to be
converted into an operational tool in the present time. There should be a design of automated processes in which
LWD data (e.g. pore pressure, wellbore shape) is automatically fed into the FEM and ML model. This gives rise
to a dynamic digital twin of the wellbore to be used in proactive decision-making.
Implement Advanced Hybrid Modeling Techniques: To overcome computational limits, there should be a
development of a hybrid modeling framework. Here, the high-fidelity FEM generates massive training datasets
for a faster, surrogate ML model (e.g., a deep neural network). This surrogate can then be deployed for instant,
real-time predictions at the rig site.
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