Three-Dimensional Displacement Using Pre-Trained Physics Informed Neural Networks

A method comprising:

• providing a pre-trained Physics-Informed Neural Networks (PINNs);
• inputting one or more inputs into the one or more pre-trained PINNs, wherein the one or more inputs comprise a viscosity vector, a density vector, or both;
• generating predicted fluid velocity fields for a plurality of annular cross-sections of a wellbore;
• modifying one or more design parameters of a cementing operation based at least in part on the predicted fluid velocity fields;
• and
• performing the cementing operation based at least in part on the one or more modified design parameters.

A method comprising:

• training one or more Neural Networks with one or more physics-informed loss functions to form one or more pre-trained Physics-Informed Neural Networks (PINNs);
• inputting one or more inputs into the one or more pre-trained PINNs, wherein the one or more inputs comprise a viscosity vector, a density vector, or both;
• predicting fluid pressures for a plurality of annular cross-sections of a wellbore;
• modifying one or more design parameters of a cementing operation based at least in part on the predicted fluid pressures;
• and
• performing the cementing operation based at least in part on the one or more modified design parameters.

A method comprising:

• providing one or more pre-trained Physics-Informed Neural Networks (PINNs);
• providing one or more virtual design parameters for a cementing operation;
• generating a model of at least a portion of a wellbore by inputting at least the one or more virtual design parameters into the one or more pre-trained PINNs, wherein the generating is performed in a cloud computing environment;
• displaying the model in real-time on a display device from the cloud computing environment;
• after displaying the model, modifying at least one of the one or more virtual design parameters;
• after modifying, repeating the step of generating but with the one or more modified virtual design parameters to form an updated model;
• repeating the step of displaying but with the updated model;
• and
• performing the wellbore cementing operation based on the one or more modified virtual design parameters.