Modeling explicitly the effect of small scale heterogeneities using traditional deterministic approaches is considered impractical. The alternative is to utilize a small number of scattered samples to estimate the variability of parameters in a statistical framework. That is, the spatial variation of a hydraulic property is characterized by its probability distribution estimated from samples. Watch the related videos, answer short questions, and re-create the animations/models using IGW-NET. Also, perform a sensitivity analysis of the random field model with respect to key parameters characterizing the random field.

(Stochastic Flow & Transport Modeling- 15)

Hydraulic conductivity values vary significantly in space, although the variation is not entirely random, but correlated in space. Such a correlated nature implies that the parameter values are not statistically independent in space and they must be treated as a stochastic process, instead of as a single random variable. Watch the related videos, answer short questions, and re-create the animations/models using IGW-NET.

(Stochastic Flow & Transport Modeling- 15)

Aquifers are inherently heterogeneous at various observation scales. Characterizing the heterogeneity at a scale of our interest generally requires information of hydrological properties at every point in the aquifer. Such a detailed hydraulic property distribution in aquifers requires numerous measurements, considerable time, and great expense, and is generally considered impractical and infeasible. The alternative is to utilize a small number of samples to estimate the variability of parameters in a statistical framework. Watch the related videos, answer the short questions, and re-create the animat

(Stochastic Flow & Transport Modeling- 15)

This problem considers the movement of a benzene plume in a stochastically stratified confined aquifer toward a lake used for recreation and drinking water supply. Using IGW-NET, asses the risk, or probability of the contaminant concentration exceeding the MCL at the aquifer-lake interface.

(Stochastic Flow & Transport Modeling- 15)

Perform a statistical analysis for a core of aquifer material, sectioned and tested on a permeameter. Consider frequency distributions, autocorrelations, and crosscorrelations.

(Stochastic Flow & Transport Modeling- 15)

A transition probability-based geostatistical approach caled T-PROGS can be used to o analyze spatial variability and generate realizations of geologic units or facies. Importantly, the realizations attempt to honor existing data and display consistency with the spatial variability evident in data or other geologic observations. Watch the videos for some examples of transition probability-based geological modeling using borehole lithologic data. Then use IGW-NET to develop a TP-based geological model for a few sites in Michigan.

(Stochastic Flow & Transport Modeling- 15)

This problem considers the movement of a benzene plume in a confined aquifer toward a lake used for recreation and drinking water supply. Using IGW-NET, asses the risk, or probability of the contaminant concentration exceeding the MCL at the aquifer-lake interface. Analyze and compare the following situations i) a homogeneous aquifer; ii) a stratified aquifer; and iii) a stochastically stratified aquifer.

(Stochastic Flow & Transport Modeling- 15)