Patent Document ID: 10145230
Application ID: 14827559
Patent Flag: 1

Claim One:
1. A method for monitoring downhole pump conditions in real-time, the method comprising: coupling a load sensor and a position sensor to a rod pump provided at a surface of a well; gathering surface load data and position data from the load and position sensors of the rod pump; estimating downhole load and downhole position in real-time throughout a pump stroke utilizing the surface load data, the surface position data, and a nonhomogenous viscous damped wave equation, wherein the downhole load and the downhole position is determined by estimating a static downhole position and a static downhole load utilizing a static solution σ(x) of the nonhomogenous viscous damped wave equation, estimating a dynamic downhole load and a dynamic downhole position utilizing a dynamic solution γ(x, t) transformed into a function of complex frequency that is integrated over all frequencies (ω) and time (t), and determining a total solution ψ(x, t) from the static and the dynamic solutions, wherein the downhole load is determined from the static downhole load and the dynamic downhole load, and the downhole position is determined from the static downhole position and the static downhole position; and plotting the downhole load and the downhole position in real-time to provide a plot of the downhole position v. the downhole load.