A Vibrating Edge Supported Plate, Fabricated by the Methods of Micro Electro Mechanical System for the Simultaneous Measurement of Density and Viscosity:  Results for Methylbenzene and Octane at Temperatures between (323 and 423) K and Pressures in the Range (0.1 to 68) MPa

In the petroleum industry, measurements of the density and viscosity of petroleum reservoir fluids are required to determine the value of the produced fluid and production strategy. These thermophysical properties are also useful for the design of separators and process equipment and to control production processes. To measure the density and viscosity of petroleum fluids requires a transducer that can operate up to reservoir conditions and, to guide value and exploitation calculations with sufficient rigor, provide results with an accuracy of about ± 1 % in density and ± 10 % in viscosity. Necessarily, these specifications place robustness as a superior priority to accuracy for the design. In this paper, we describe a Micro Electrical Mechanical System (MEMS) that is capable of providing both density and viscosity of fluids in which it is immersed at the desired operating conditions. This transducer is based on a vibrating plate, with dimensions of about 1 mm and mass of about 0.12 mg, clamped along one edge. The measured resonance frequency of the first bending mode in a vacuum at a temperature of 298 K is about 12 kHz with a quality factor about 2600. Measurements of the resonance frequency and quality factor of the first-order bending mode were combined with semiempirical working equations and the mechanical properties of the plate to determine the density and viscosity when immersed in methylbenzene at temperatures of (323 and 373) K and octane at temperatures between (323 and 423) K both at pressures below 68 MPa where the density varies between (619 and 890) kg·m-3 and the viscosity varies from (0.205 to 0.711) mPa·s. The measurements in methylbenzene at pressures between (0.1 and 68) MPa and a temperature of 323 K were used to determine the adjustable parameters in the semiempirical working equations. The expanded (k = 2) (twice the standard deviation) uncertainty, including the calibration, in density is about ± 0.2 % and in viscosity is about ± 2.5 %; at a temperature of 423 K, the expanded uncertainty in viscosity is about 6 %. The results obtained at temperatures below 423 K differed by less than ± 0.3 % for density and less than ± 5 % for viscosity from either accepted correlations of literature values or results documented by others with experimental techniques that utilize different principles and have quite different sources of systematic error. These differences are within a reasonable multiple of the relative combined expanded uncertainty