http://www.ens-lyon.fr/DI/wp-content/uploads/2009/07/LopesBetrouni.pdf

Fractal and multifractal analysis: a review.

A solution is presented for the change in water level in a well of finite diameter after a known volume of water is suddenly injected or withdrawn. A set of type curves computed from this solution permits a determination of the transmissibility of the aquifer.

Response of a finite-diameter well to an instantaneous charge of water. Paper No. H-21

http://members.unine.ch/philippe.renard/articles/renard2013.pdf

Connectivity metrics for subsurface flow and transport

Preparing the books to read every day is enjoyable for many people. However, there are still many people who also don't like reading. This is a problem. But, when you can support others to start reading, it will be better. One of the books that can be recommended for new readers is dynamics and modelling of ocean waves. This book is not kind of difficult book to read. It can be read and understand by the new readers.

Dynamics and Modelling of Ocean Waves

/pdf/expanding-the-role-of-reactive-transport-models-in-critical-58g4lxduwx.pdf

Expanding the role of reactive transport models in critical zone processes

Usage of infinitesimals in the Menger’s Sponge model of porosity

[1] Two fixed-size algorithms were used to investigate natural river networks: the box-counting method and the sandbox method. The first produces good results for nonnegative moment orders, q, but suffers from border effects. The second solves border problems and is particularly adapted to negative moment orders for the reconstruction of the right side of the multifractal spectrum, f(α). In the box-counting applications the influence of the mesh number was investigated in the range 20 to 100, for moment orders from 0 to 10, showing that the error in the assessment of the generalized fractal dimensions is not greater than 3%. The sandbox method was applied to the river networks for the first time, and the theoretical expression of the information entropy was derived. Results were obtained also for negative moment orders, showing that the analyzed river networks are multifractal and non-plane-filling structures. The sandbox method avoids border effects, as verified through an application to a square portion extracted from a river network. Result analysis suggests a dependence of the f(α) spectra from the lithologic characteristics of the source rocks.

Multifractal analysis of river networks: Sandbox approach

Estimated generalized dimensions of river networks

Solute transport takes place in heterogeneous porous formations, with the log conductivity, Y = ln K, modeled as a stationary random space function of given univariate normal probability density fu ...

https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2009WR008590

An indirect assessment on the impact of connectivity of conductivity classes upon longitudinal asymptotic macrodispersivity

Sensitivity analysis is an approach to recognising the behaviour of models and relative importance of causative factors. In this paper, behaviours of six pier scour depth empirical formulae are evaluated on the basis of an analytical method. The sensitivity of predicted scour depth is analysed with respect to the following independent parameters: approach flow depth, riverbed slope and median sediment size. Also their combined influence is studied examining the relative importance of each parameter with respect to the total variation of the maximum scour depth. Results show that: (1) sensitivity significantly depends on flow intensity for most of the selected formulae, whereas for the others it is a constant value or depends on other influencing parameters; (2) different formulae demonstrate various level of sensitivity to the input variables, so that, for a certain error in the input variables, the error in the results may vary consistently; (3) some formulae are very sensitive to the input parameters under some conditions, hence an error in an input variable may be amplified in the output results; and (4) most of the formulae are more sensitive to the variations of the influencing parameters in clear-water than in live-bed conditions.

Samuele De Bartolo

Papers

Usage of infinitesimals in the Menger’s Sponge model of porosity

Multifractal analysis of river networks: Sandbox approach

Estimated generalized dimensions of river networks

An indirect assessment on the impact of connectivity of conductivity classes upon longitudinal asymptotic macrodispersivity

Sensitivity analysis of bridge pier scour depth predictive formulae