Fractional Brownian motion (fBm) is one of the most popular stochastic fractal models. It is parameterized by a Hurst exponent, H, which measures its self-similarity degree and long-range dependence properties. This process displays everywhere the same local regularity (H), thus does not suit to model real signals characterized by irregular behavior varying in time/space as are most geophysical signals. To get rid of this limitation, multifractional Brownian motion (mBm) was introduced as an extension of fBm. Unlike fBm, mBm allows to describe phenomena whose sample paths display a time/space-dependent regularity. Multifractional Brownain motion has gained acceptance in many research areas: geophysics, signal and image processing, financial data series, network traffic phenomena, and biomedicine.

This session is devoted to demonstrate the contribution of mBm in geosciences. Researchers are invited to submit papers dealing with the following applications of this process and other relevant topics:

- Well logging;
- Petrophysical characterization of oil/gas reservoir;
- Analysis of the geomagnetic activity;
- Signal and image processing analysis of geological/geophysical data;
- Probabilistic and statistical properties of mBm of interest in
Geosciences;