Analytic models of distributed acoustic sensing data for straight and helical fibre

Heather K. Hardeman-Vooys, Michael P. Lamoureux

We discuss the process of acquiring seismic data using distributed acoustic sensing. We then describe the analytic model used to depict this process mathematically. We find the strain tensor for the full-waveform by separating the problem in to the case for the P-wave strain tensor and the S-wave strain tensor. We show examples of the model for the P-wave response of the fibre in two different media. We compare the results of the S-wave response for helical and straight fibre. Finally, we examine the full-waveform response of the fibre and consider the results using different gauge lengths.