What trends do you mean exactly? Since I do not remember any investigations in your papers for developing or modifying trends. If so, please let me know.
I suggest you to take a look at following papers which also were used in our paper:
Dvorkin, J., N. Derzhi, E. Diaz, and Q. Fang. 2011, Relevance of computational rock physics. Geophysics, 76, no. 5,E141-E153.
Dvorkin, J., and N. Derzhi. 2012, Rules of upscaling for rock physics transforms: Composites of randomly and independently drawn elements. Geophysics, 77, no. 3,WA129-WA139.