A Physics-Informed Neural Network Solution for Rheological Modeling of Cement Slurries

Understanding the rheological properties of fresh cement slurries is essential to maintain optimal pumpability, achieve dependable zonal isolation, and preserve long-term well integrity in oil and gas cementing operations and the 3D printing cement and concrete industry. However, accurately and effi...

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Main Authors: Huaixiao Yan, Jiannan Ding, Chengcheng Tao
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Fluids
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Online Access:https://www.mdpi.com/2311-5521/10/7/184
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author Huaixiao Yan
Jiannan Ding
Chengcheng Tao
author_facet Huaixiao Yan
Jiannan Ding
Chengcheng Tao
author_sort Huaixiao Yan
collection DOAJ
description Understanding the rheological properties of fresh cement slurries is essential to maintain optimal pumpability, achieve dependable zonal isolation, and preserve long-term well integrity in oil and gas cementing operations and the 3D printing cement and concrete industry. However, accurately and efficiently modeling the rheological behavior of cement slurries remains challenging due to the complex fluid properties of fresh cement slurries, which exhibit non-Newtonian and thixotropic behavior. Traditional numerical solvers typically require mesh generation and intensive computation, making them less practical for data-scarce, high-dimensional problems. In this study, a physics-informed neural network (PINN)-based framework is developed to solve the governing equations of steady-state cement slurry flow in a tilted channel. The slurry is modeled as a non-Newtonian fluid with viscosity dependent on both the shear rate and particle volume fraction. The PINN-based approach incorporates physical laws into the loss function, offering mesh-free solutions with strong generalization ability. The results show that PINNs accurately capture the trend of velocity and volume fraction profiles under varying material and flow parameters. Compared to conventional solvers, the PINN solution offers a more efficient and flexible alternative for modeling complex rheological behavior in data-limited scenarios. These findings demonstrate the potential of PINNs as a robust tool for cement slurry rheological modeling, particularly in scenarios where traditional solvers are impractical. Future work will focus on enhancing model precision through hybrid learning strategies that incorporate labeled data, potentially enabling real-time predictive modeling for field applications.
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spelling doaj-art-acb0fc53a4a34756beb998ccd98fa9f82025-08-20T03:32:32ZengMDPI AGFluids2311-55212025-07-0110718410.3390/fluids10070184A Physics-Informed Neural Network Solution for Rheological Modeling of Cement SlurriesHuaixiao Yan0Jiannan Ding1Chengcheng Tao2School of Construction Management Technology, Purdue University, 363 N. Grant Street, DUDL 4518, West Lafayette, IN 47907, USASchool of Construction Management Technology, Purdue University, 363 N. Grant Street, DUDL 4518, West Lafayette, IN 47907, USASchool of Construction Management Technology, Purdue University, 363 N. Grant Street, DUDL 4518, West Lafayette, IN 47907, USAUnderstanding the rheological properties of fresh cement slurries is essential to maintain optimal pumpability, achieve dependable zonal isolation, and preserve long-term well integrity in oil and gas cementing operations and the 3D printing cement and concrete industry. However, accurately and efficiently modeling the rheological behavior of cement slurries remains challenging due to the complex fluid properties of fresh cement slurries, which exhibit non-Newtonian and thixotropic behavior. Traditional numerical solvers typically require mesh generation and intensive computation, making them less practical for data-scarce, high-dimensional problems. In this study, a physics-informed neural network (PINN)-based framework is developed to solve the governing equations of steady-state cement slurry flow in a tilted channel. The slurry is modeled as a non-Newtonian fluid with viscosity dependent on both the shear rate and particle volume fraction. The PINN-based approach incorporates physical laws into the loss function, offering mesh-free solutions with strong generalization ability. The results show that PINNs accurately capture the trend of velocity and volume fraction profiles under varying material and flow parameters. Compared to conventional solvers, the PINN solution offers a more efficient and flexible alternative for modeling complex rheological behavior in data-limited scenarios. These findings demonstrate the potential of PINNs as a robust tool for cement slurry rheological modeling, particularly in scenarios where traditional solvers are impractical. Future work will focus on enhancing model precision through hybrid learning strategies that incorporate labeled data, potentially enabling real-time predictive modeling for field applications.https://www.mdpi.com/2311-5521/10/7/184rheologycement slurryPINNnon-Newtonian fluidsdeep learning
spellingShingle Huaixiao Yan
Jiannan Ding
Chengcheng Tao
A Physics-Informed Neural Network Solution for Rheological Modeling of Cement Slurries
Fluids
rheology
cement slurry
PINN
non-Newtonian fluids
deep learning
title A Physics-Informed Neural Network Solution for Rheological Modeling of Cement Slurries
title_full A Physics-Informed Neural Network Solution for Rheological Modeling of Cement Slurries
title_fullStr A Physics-Informed Neural Network Solution for Rheological Modeling of Cement Slurries
title_full_unstemmed A Physics-Informed Neural Network Solution for Rheological Modeling of Cement Slurries
title_short A Physics-Informed Neural Network Solution for Rheological Modeling of Cement Slurries
title_sort physics informed neural network solution for rheological modeling of cement slurries
topic rheology
cement slurry
PINN
non-Newtonian fluids
deep learning
url https://www.mdpi.com/2311-5521/10/7/184
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