Notes: An analytical solution and its application to compute 2-D geoid anomalies, based on Brun's formula (Heiskanen & Moritz 1967), was developed by Chapman (1979). In this paper we present the derived solution from a thorough review of Chapman's algorithm. Apart from some typographical errors in the mathematical expressions, we have found that some of the precautions given by the author are not necessary when the algorithm is applied, in particular those regarding the unit system, topography and density contrast.

Notes: We present new images of the lower crust and Moho beneath the Valencia Trough—a young rift basin in the western Mediterranean. These images were obtained from a two-ship, wide-aperture reflection experiment and show several features not distinguishable on previously available conventional single-ship reflection profiles.The Moho, which was previously only seen intermittently, can now be confidently traced throughout the basin. We have constructed a present-day depth-to-Moho map and estimated the degree of crustal thinning for the whole basin. Crustal thinning is at a maximum in the centre of the basin, where β values reach 3.15 ± 0.25. At the margins of the basin the β value decreases to 1.5 ± 0.1.The reflective character of the lower crust and Moho is different beneath different parts of the basin. We have been able to correlate these differences with the amount of stretching. We therefore interpret the variations of the observed lower crustal reflectivity as having been caused by the most recent (Neogene) stretching event that opened the Valencia Trough. Along the Iberian margin there is well-developed lower crustal reflectivity consisting of 1-2s two-way time (TWT) of 1-4 km long, near-horizontal reflectors underlain by a more continuous, although not significantly stronger, reflector interpreted to be the reflection Moho. Offshore, this lower crustal reflective unit thins rapidly, such that it is undetectable 40-50 km from the coastline where the crust has been stretched by a factor of 1.7 ± 0.1. As the lower crustal reflectivity becomes undetectable the reflection Moho becomes a robust, continuous event. Where β exceeds 2.4 ± 0.2, however, the Moho is a weak event and difficult to trace. We infer that either the extension itself or associated melting significantly weakened or even destroyed the lower crustal reflectivity in the centre of the basin and enhanced the Moho where extension was moderate.The Balearic margin is somewhat anomalous in that there appears to have been flexural loading of the crust due to thrusting and folding that occurred at the same time as extension in the Valencia Trough. The lower crust shows evidence of weak, but locally variable lower crustal reflectivity. It is possible that the lower crustal reflectivity was preserved simply because the Moho was flexed downward and so decompression, and hence melting, of the upper mantle was restricted. This suggests that the melting itself rather than the extension is the primary mechanism of lower crustal modification.