Summary The precision error of the Brillouin optical time domain reflectometry (BOTDR)‐based distributed fiber optic strain measurement is normally evaluated based on strain change from the initial zero strain state. In many structural health monitoring applications, however, there is initial strain caused by the installation process of a fiber optic sensor cable to a structure. Engineers are interested in the incremental strain profile from the initial strain profile to assess the performance of the structure. The initial strain profile is often not constant throughout the cable length due to the manner that the fiber optic cables are installed (e.g., gluing, clamping, or embedding). This uneven strain distribution causes precision error in the strain incremental values, which in turn leads to difficulty in data interpretation. This paper discusses why large initial strain variation (or initial strain gradient) increases the precision error of the subsequent incremental strain reading and how to evaluate the magnitude of such precision error. A relationship between strain gradient and precision error is demonstrated. A sectional shift method is proposed to minimize the precision error. Results from laboratory tests and a field case study show that the method can reduce the precision error approximately 50% when the strain gradient is large.

An optical model to simulate the distributed fiber optical sensor based on spontaneous Brillouin spectrum is derived. The reliability of this model is validated with experimental measurements. Using this analytical expression, parametric studies are conducted to investigate impacts of key factors including fiber loss, signal to noise ratio, bandwidth and scanning step on the optical fiber sensor measurement error. The simulation results exhibit good agreement with previous published calculation results. Applying this novel model into the data interpretation, measurement error of distributed fiber optical sensor based on spontaneous Brillouin scattering can be better controlled.

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A location deviation compensation algorithm based on maximum cross correlation is proposed for optical frequency domain reflectometry. The characteristic change of fiber under test and the auxiliary interferometer induced by strain/temperature causes location deviation in the optical frequency domain reflectometry system, which in turn leads to demodulation errors. Compared to current available compensated methods, this algorithm simultaneously compensates the location deviation caused by the fiber under test and the auxiliary interferometer. The temperature variation experiments of the fiber under test and the auxiliary interferometer were carried out, respectively, and results show that the algorithm minimized the demodulation errors introduced by the location deviation.