A method and system are disclosed for measuring pressure and other physical data, such as the temperature, elongation, torsion and bending at any point along the length of an elongate carrier tube by means of one or more coiled optical fibers that are embedded in the wall the tube such that deformation of the carrier tube induces strain in each optical fiber. In use a pulsed laser light source transmits a sequence of light pulses of a selected wavelength from an upstream end of each fiber into a coiled substantially uniform light guide channel provided by the optical fiber and a light sensor assembly detects any shift in wavelength of the light pulses backscattered from various locations along the length of the light guide channel. A signal processing assembly then calculates a strain pattern along the length of the fiber, and a pressure difference between the interior and exterior of the tube, at various locations along the length of the carrier tube. Preferably several fibers are wound at different pitch angles and in different directions and at different diameters in the wall of the carrier tube and the signal processing assembly calculates bending, torsion and both radial and axial deformation of the carrier tube on the basis of a comparison of the strain patterns induced on different optical fibers.