0 5 for the bound fluid for each distribution the net result is that the bound fluid in the two distributions is identical and computed using all of the data from both experiments and 2 the weight applied to shell 1 data equals one for the free fluid from the shell 1 distribution and zero for the free fluid from the shell 4 distribution similarly the weight applied to shell 1 data is zero for the free fluid from the shell 4 distribution and one for the free fluid from the shell 4 distribution the net result is that the free fluid from the shell 1 distribution is computed using the shell 1 data and the free fluid from the shell 4 distribution is computed using the shell 4 data thus the two distributions have independent free fluids but identical bound fluids the signal to noise ratio is dramatically increased for the bound fluid with a small but positive effect on the free fluid note the weighting factors for the bound fluid were equal in this example but the invention is not so constrained echo u2062 u2062 1 echo u2062 u2062 2 w u2062 u2062 1 kernel u2062 u2062 1 w u2062 u2062 2 kernel u2062 u2062 1 w u2062 u2062 2 kernel u2062 u2062 2 w u2062 u2062 1 kernel u2062 u2062 2 u2062 sol u2062 u2062 1 sol u2062 u2062 2 here echo 1 and echo 2 describe the echo data of shell 1 and shell 4 w 1 and w 2 are diagonal matrices with the weighting functions described above in the main diagonal.