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Procedure of solving problems for calibration of combined pressure and temperature sensors

Keywords:

A.Z. Sahabutdinov – Ph.D. (Phys.-Math.), Associate Professor, Department of «Radiophotonics and Microwave Technology», Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: kazanboy@yandex.ru D.F. Salahov - Engineer, JSC «Izhevsk Radio», Izhevsk. E-mail: d-f-s@irz.ru I.I. Nureev - Ph.D. (Eng.), Associate Professor, Department of «Radiophotonics and Microwave Technology», Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: n2i2@mail.ru O.G. Morozov – Dr.Sc. (Eng.), Professor, Head of Department of «Radiophotonics and Microwave Technology», Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: microoil@mail.ru


It is known that the external temperature influences the displacement of the center Bragg wavelength of the pressure sensor. To compensate for the temperature drift of the center wavelength of the pressure sensor, it is necessary to consider the combined system consisting of a pair of «pressure sensor and temperature sensor». In the combined system of «pressure sensor and temperature sensor» it is assumed that the ambient temperature near the both sensors is the same. Bragg temperature sensor in the pair is independent, and the pressure sensor response is corrected using temperature sensor response. Calibration of the pressure sensor lies in finding the unknown coefficients of the approximating surface. To determine the coefficients, the method of the least squares is used, so that the surface most accurately describes the behavior of the pressure sensor with the different sets of temperature and pressure. An natural experiment was performed in which a model of approximation of the temperature and pressure sensors was tested. Control measurements were performed for the combined temperature and pressure sensors Smart Fiber. The range of temperature changes was from 40°C to 150°C, the range of pressures was from 100 atm. to 600 atm. The described calibration procedure and the proposed version of the model approximations allow us to establish the foundations for the creation of metrological provision of integrated downhole telemetry systems based on nonlinear reflectometry effects and distributed acoustic sensor systems as well as dotted pressure measurement with compensation of temperature changes.
References:

 

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