This invention provides a prediction model, method, and device for
wellhead backpressure
waves and their velocities. The prediction method includes: S1, determining the liquid type and flow state of the single-phase fluid in the annulus; S2, determining the starting time T to be calculated. a Termination time T b The initial depth h of the medium k liquid section k,a Termination depth h k,b Initial flow Q k and initial
back pressure P k0 S3. Discretize the computational domain in time and space to form X×Y grid nodes, where X=((T b -T a ) / Δt)+1,Y=((h k,b -h k,a ) / Δz)+1, calculate the position of a point in the region at time t j The spatial coordinates at time (t) j , z i S4. Based on the prediction model of the annular pressure field, all positions in the annular
liquid phase section are obtained through iterative calculation at T. a ~T b Pressure values within a time period. This invention uses a
discretization method to iteratively calculate the pressure values at all
discrete points of the single-phase liquid within the annulus, ensuring the accuracy of annular
pressure wave prediction.