S U M M A R Y Source inversion is a widely used practice in seismology. Magnitudes, moment tensors, slip distributions are now routinely calculated and disseminated whenever an earthquake occurs. The accuracy of such models depends on many aspects like the event magnitude, the data coverage and the data quality (instrument response, isolation, timing, etc.). Here, like in any observational prob...

In this article we study the fan-beam Radon transform Dm of symmetrical solenoidal 2D tensor fields of arbitrary rank m in a unit disc D as the operator, acting from the object space L2(D;Sm) to the data space L2([0, 2π) × [0, 2π)). The orthogonal polynomial basis s (±m) n,k of solenoidal tensor fields on the disc D was built with the help of Zernike polynomials and then a singular value decomp...

One of the most challenging problems of electromagnetic (EM) geophysical methods is developing three-dimensional (3-D) EM inversion techniques. This problem is of utmost importance in practical applications because of the 3-D nature of the geological structures. The main difficulties in 3-D inversion are related to (1) limitations of 3-D forward modeling codes available and (2) ill-posedness of...

where Mkk represents the trace components of the moment tensor,  and  are Lame constants. These results imply that the damage evolution and the accumulation of relative crack volume are also estimated from the moment tensor analysis. From moment tensors determined in bending tests of concrete specimens with a notch [Ohtsu & Ohtsuka 1998], the damage and the accumulation of crack volume were e...

The inversion of the teleseismic P-wave receiver functions was employed to determine structure crust under Anbar broadband seismic station. Some computer programs in seismology were used analyze nine earthquakes. Results show that crustal (Moho depth) beneath ANB1 station is 44 km. sedimentary cover thickness (basement at 12km. In general, obtained and thicknesses are consistent with results so...

Three commonly used methods to determine the principal moments of inertia of a plane area and their directions are based on: (i) the stationarity condition for the axial moment of inertia, (ii) the eigenvalue analysis, and (iii) Mohr’s circle. In this paper we provide two new derivations, which are based on: (a) the matrix diagonalization and the invariant tensor properties, and (b) the conjuga...

In 2 experiments, participants haptically estimated length and heaviness of handheld rods while wielding without seeing them. The sets of rods had been constructed such that variation of static moment and the 1st eigenvalue of the inertia tensor (I1) were separated. Consistent with previous findings, perceived rod length correlated strongly with I1. However, multiple regressions on current data...