| CPC G01V 1/52 (2013.01) [E21B 47/00 (2013.01); G01D 5/268 (2013.01); G01V 1/50 (2013.01); G01V 8/16 (2013.01)] | 19 Claims |

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1. A vibration sensor system comprising:
a light pulse generator configured to provide a plurality of optical pulses;
an optical fiber having a plurality of modes and a predetermined length and configured to guide the optical pulses; and
a sensor optically coupled to the optical fiber and configured to determine a location and frequency of a vibration of the optical fiber at a location along the optical fiber, based on a collection of distortion parameters that are descriptive of intermodal distortion effects of intermodal coupling within the optical fiber, wherein determining the location and frequency comprises:
receiving a plurality of distorted backscattered Rayleigh signals from the optical fiber, wherein the plurality of distorted backscattered Rayleigh signals are based on an original backscattered Rayleigh signal backscattered by a vibration of the optical fiber at a vibration frequency and a vibration amplitude at a vibration location along the optical fiber and distorted by intermodal coupling among the plurality of modes; and
transforming, by a processor, the plurality of distorted backscattered Rayleigh signals into an undistorted backscattered Rayleigh signal based on the collection of distortion parameters, wherein the undistorted backscattered Rayleigh signal is substantially a recovered version of the original backscattered Rayleigh signal.
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