Performing a geophysical survey beneath a surface obstruction, or around a fixed object or formation. At least some of the example embodiments include: programming a towing pattern into an autonomous underwater vehicle; and towing a sensor streamer under the surface obstruction, or around the fixed object or formation by the autonomous underwater vehicle. In some of the embodiments, the sensor streamer comprises a distributed sensor in the form of an optical fiber. In some of the embodiments, the optical fiber is encapsulated in an outer covering of resilient material, the resilient material exposed to the water during the towing.