This chapter explores applications of the ideas which we explored in chapter 7 and developed in chapter 9. It presents tools for applications and demonstrates some applications through field and numerical studies. This section discusses the statistics of particle displacements in heterogeneous flow fields. Some applications of these statistics are discussed in sections 7.1 and 9.2. We will show later in this chapter that they can also be used for computing dispersion coefficients (sections 10.2-10.5) and travel time statistics (section 10.6), which will be used later (sections 10.7) for modeling reactive transport, and for conditional modeling of transport (section 10.8). An experimental database for the Lagrangian velocity VL (9.1) is difficult but not impossible to obtain (cf. Wilson and Linderfelt, 1994, Woodbudy and Rubin, 2000). But the next best thing for an insight of the nature of VL is to compute its statistics either numerically or analytically. The emphasis in this section will be on low-order analytical approximations. Although some results are of limited applicability, they are of a fundamental nature in terms of the insight they provide.
Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media
