Cement Job Fluid Forecasting with DMD Surrogate Models
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Solution Overview
Problem
Existing three-dimensional computer modeling techniques for predicting cement behavior in wellbores are computationally expensive and time-consuming, especially for complex geometries, making it difficult to accurately predict fluid displacement during cementing operations.
Innovation Solution
Utilizing dynamic mode decomposition (DMD) to create a data-driven surrogate model that identifies dominant features in transient fluid positions, allowing for fast and accurate prediction of fluid displacement in wellbores by reducing computational time and retaining 3D displacement physics.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If three-dimensional computer modeling techniques are used to predict cement behavior, then prediction accuracy is improved, but computational time and cost increase significantly
Solution Approach 1:
The patent creates a simplified surrogate model that copies the essential physics of the complex 3D displacement model. This surrogate model uses reduced-order dynamics to replicate the behavior of the full model without requiring its computational resources, enabling fast predictions while maintaining reasonable accuracy for design purposes
Solution Approach 2:
The surrogate model serves as a computationally inexpensive alternative to the expensive 3D model. It can be rapidly executed multiple times during design iterations without the prohibitive computational cost of the full 3D model, effectively replacing it for tasks where extreme precision is not critical
2Measurement precision
If three-dimensional computer modeling techniques are used for complex wellbore geometries, then prediction accuracy is improved, but computational complexity increases
Solution Approach 1:
The patent extracts the dominant dynamic modes from the complex 3D model and uses only these essential features in the surrogate model. By taking out and retaining only the most significant dynamic characteristics, the model achieves reasonable accuracy without the full computational complexity of the original 3D model
Solution Approach 2:
The patent transforms the high-dimensional 3D model into a low-dimensional surrogate model by changing the parameter representation. Instead of solving full 3D partial differential equations, the surrogate model uses a small number of dynamic modes with time-varying parameters, dramatically reducing computational complexity
Data Source
AI summary
A method may include: providing a cement job design comprising a pump schedule and wellbore data, wherein the pump schedule comprises a pumping rate and a volume for a plurality of wellbore fluids; identifying intrinsic dynamics of the cement job design by first forming a modified cement job design by modifying the cement job design such that the pumping rate for each of the plurality of wellbore fluids is equal and then inputting the modified cement job design into a computational fluid dynamics simulator, and generating intrinsic dynamics matrices corresponding to wellbore fluid concentration; identifying input effects of the cement job design by first forming one or more additional modified cement job design by modifying the cement job design by varying at least one of a pumping rate or a volume of the plurality of wellbore fluids and then inputting the one or more additional modified cement job design into the computational fluid dynamics simulator, and generating intrinsic dynamics matrices corresponding to wellbore fluid concentration; performing dynamic mode decomposition on the intrinsic dynamics matrices to estimate eigen values of the intrinsic dynamics matrices and performing dynamic mode decomposition on the input effects matrices to estimate eigen vectors of the input effects matrices; calculating a concentration of a fluid in an annulus using at least the pump schedule, the eigen values of the intrinsic dynamics matrices, and the eigen vectors of the input effects matrices; and performing a wellbore cementing operating according to the cement job design if the concentration of the fluid meets the cement job design.