This paper presents an effective Levenberg–Marquardt procedure for modeling accelerometers used in the energy industry. The proposed procedure applies the results of accelerometer calibration methods commonly used in engineering practice using stationary or portable calibrators. These methods are extended here to more advanced solutions, which will constitute the basis for further research (both practical and theoretical) for improving the accuracy of accelerometers, which play an extremely important diagnostic function in the operation of machines, devices, and the wide range of components used in the energy industry. The research results presented in this article were obtained using MathCad 15 and MATLAB R2024a software.