A New Wave Equation Formulation with A Focus On Deviated Well Applications Derived From Downhole Dynamometer Measured Data

Dynamic sucker rod sucker rod modeling in deviated wells has proven difficult. Wave equation solutions – when applied to measured surface cards - have generally produced dubious pump cards. Recently acquired measurements collected from deviated wells using downhole dynamometers have inspired a new wave equation formulation and a modern finite difference implementation. The new model produces pump cards which are generally consistent with data measured downhole. The new model has been implemented in a commercial rod pump controller.