Математическая модель трехосевого микромеханического акселерометра для инклинометрической системы контроля и ориентации скважин

Abstract

RU: Разработана математическая модель инклинометра на основе блока трехосевого акселерометрического преобразователя для систем контроля и ориентации объектов, в матричном и скалярном виде. Получены формулы для вычисления зенитного угла и угла установки отклонителя от сигналов с первичных акселерометрических преобразователей с учетом перекосов осей измерения инклинометра с осями измерения блока трехосевого микромеханического акселерометра. Учет в математической модели инструментальной погрешности позволит на порядок повысить точность при измерении зенитного угла и угла установки отклонителя.

EN: In the conditions of intensive development of directional and horizontal drilling there are much growing requirements to the accuracy of hole making in required area of producing zone [1].

In many respects the accuracy of hole making is determined by metrological performance of control devices of dimensional orientation of a borehole — directional devices including accelerometer sensing devices.

Being high–precision sensing devices, particularly ADXL accelerometers permit to measure accelerations over the range to with threshold of sensitivity [8].

However, in spite of high–precision performance, some errors can emerge measuring inclination angle and the angle of setting of deflector of controlled objects caused by setting inaccuracy of accelerometer transducers inclinometer case.

Algorithmic correction of measurement results is proposed i.e. in mathematical model of three–axis accelerometer transducer unit for inclinometer it is necessary to take into consideration misalignment of inclinometer sensitive axes with sensitive axes of three–axis micromechanical accelerometer unit.

The work deals with the development of mathematical model of inclinometer on the base of three–axis accelerometer transducer unit for control and orientation system of objects, in matrix and scalar view.

We have gained the formulas for inclination angle calculation and the calculation of the angle of deflector setting from sensing accelerometer devices signals taking into account the misalignment of inclinometer sensitive axis with sensitive axes of three–axis micromechanical accelerometer unit.

Calculation in mathematical model of instrumental error permits to increase accuracy measuring inclination angle and angle of deflector setting by far.