This invention discloses a measurement method and
system suitable for horseshoe-shaped tunnel curves. Addressing the challenges of complex measurement operations and difficulty in judging over-excavation and under-excavation in curved sections, it employs a polar coordinate model. Based on the tunnel center, starting point, and measured point coordinates, it automatically calculates the polar
diameter and polar angle, and derives parameters such as curve length, offset, mileage, and elevation. According to the
measurement point location zones (upper, middle, and lower arc areas), it calls the corresponding geometric model to perform over-excavation and under-excavation calculations, achieving precise control. Combining the
turning radius and cyclic advance, it calculates the borehole direction deviation, guiding on-site adjustments to the direction line and reserving construction space. It has auxiliary dimension calculation functions, outputting the tunnel width and height in real time to assess equipment
accessibility. It can be integrated into calculators or electronic devices for rapid calculation, improving measurement efficiency and construction accuracy. It is applicable to various horseshoe-shaped curved tunnel measurements and has strong practicality.