# A Silicon Resonant Pressure Microsensor Based on Frequency-Ratio Measurement for High-Temperature Applications

## TL;DR

This paper introduces a high-temperature silicon pressure sensor that uses a frequency-ratio method to improve accuracy and reliability in extreme environments like deep well drilling.

## Contribution

The paper introduces a novel force-transmission structure and frequency-ratio measurement scheme for high-temperature pressure sensing.

## Key findings

- The sensor operates stably up to 175 °C and 175 MPa with a pressure sensitivity of 723.56 ppm/MPa.
- The frequency-ratio method achieves 0.02% FS accuracy at 125 °C using a low-stability oscillator.
- The design outperforms conventional methods in high-temperature and high-pressure conditions.

## Abstract

This paper presents a high-temperature silicon resonant pressure microsensor capable of stable operation up to 175 °C and 175 MPa, addressing the critical need for reliable pressure monitoring in deep well drilling and petroleum exploration. To overcome the inherent trade-off between pressure range and sensitivity in diaphragm-based sensors, the sensor incorporates V-shaped micro-beam supports that convert radial compressive stress into supplementary axial tensile stress on the resonant beams. This innovative force-transmission structure enhances both pressure resistance and positive stress sensitivity, enabling range extension while maintaining adequate sensitivity. A key feature of this work is the implementation of a frequency-ratio measurement scheme utilizing a dedicated pressure-insensitive reference resonator. This approach effectively eliminates the dependence on the stability of the external crystal oscillator frequency, a significant source of error in high-temperature environments where stable clock sources are costly or unavailable. Experimental results demonstrate that the fabricated sensor achieves a pressure sensitivity of 723.56 ppm/MPa for Resonator I and −436.60 ppm/MPa for Resonator II. The frequency-ratio output scheme maintains a measurement accuracy better than 0.02% FS (within the 0–36 MPa verification range) even when using a low-stability oscillator at 125 °C, significantly outperforming conventional direct-frequency measurement methods. The sensor’s combination of an extended pressure range, high-temperature capability, and robust frequency-ratio output offers a promising solution for high-precision pressure sensing in extreme downhole conditions.