ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.
-
Upload
allyson-may -
Category
Documents
-
view
212 -
download
0
Transcript of ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.
![Page 1: ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e885503460f94b8c04b/html5/thumbnails/1.jpg)
ST-589: Climate Change and Carbon Sequestration
Final ProjectEarl Reynolds
![Page 2: ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e885503460f94b8c04b/html5/thumbnails/2.jpg)
Goal
• A flexible project that can be adapted to multiple problems and levels of mathematics, ranging from Pre-Algebra to Algebra II, which applies mathematics standards to the problems of CO2 sequestration.
![Page 3: ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e885503460f94b8c04b/html5/thumbnails/3.jpg)
Basic PremiseA coal power plant produces ____ Gt of CO2 each year. This CO2 must be sequestered. Figure out how this can be done at minimum cost.
![Page 4: ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e885503460f94b8c04b/html5/thumbnails/4.jpg)
Pre-Algebra
• CO2 transported by pipeline, constructed at fixed cost per mile
• Only one site is used• Sites have volumes easily expressed by formulas (e.g. cube,
prism, half sphere)• All but one site is too small; one site is more than large
enough.• Main question: How much will it cost to sequester the CO2 in
the appropriate reservoir?• Extra credit: cheaper to sequester in one site or multiple
sites?
![Page 5: ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e885503460f94b8c04b/html5/thumbnails/5.jpg)
Algebra I
• Two sequestration sites of adequate size can be used, of variable investment costs (possibly land rights, difficult terrain, etc.).
• These costs sum to a total initial cost. The cost of a pipeline varies with each site (e.g., $1000 per mile for site one, $5000 per mile for site two).
• Main question: Students must figure out which site to use for a given time period (e.g. 10 years, 50 years). Solutions are found by solving a system of equations.
• Decide if one site is always cheaper than the other, if it is worthwhile to build pipelines to both sites, etc.
![Page 6: ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e885503460f94b8c04b/html5/thumbnails/6.jpg)
Algebra II
• Students will solve a basic linear programming problem, with the following constraints:– Cost of pipeline construction– Capacity of each reservoir (fixed volume
calculated from porosity)– Permeability of each reservoir (if applicable)– Total CO2 to be sequestered
• The project must meet all constraints, and must include the optimal solution.
![Page 7: ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e885503460f94b8c04b/html5/thumbnails/7.jpg)
Resources for project expansion• “Carbon Dioxide Capture and Storage: summary for policy makers
– http://www.ipcc.ch/pdf/special-reports/srccs/srccs_summaryforpolicymakers.pdf• Provides general information and useful data tables that can be incorporated into the
assignments for the sake of authenticity. Numbers include: Coal Plant emission stats, cost of CO2 capture
• “Carbon in Underland”– http://www.youtube.com/watch?v=gr9cznZFuIc
• Short, cheesy animation explaining the basic processes of geologic CO2 sequestration
• “Geologic Sequestration”– http://www.southwestcarbonpartnership.org/GeoSeq.html
• SWP’s website illustrating geologic sequestration, including an animated applet demonstrating the sequestration of CO2 from a coal plant over time at varying percentages.
• “Simulation and Risk Assessment Focus Area”– http://www.netl.doe.gov/technologies/carbon_seq/corerd/simulation.html
• The DOE’s collection of simulation information, useful for student research in more open-ended adaptations of the project
![Page 8: ST-589: Climate Change and Carbon Sequestration Final Project Earl Reynolds.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e885503460f94b8c04b/html5/thumbnails/8.jpg)
Standards Correlation
• All levels: 9-12.A.3.1 Model real-world phenomena using linear equations and linear inequalities interpret resulting solutions, and use estimation to detect errors.
• Algebra I: 9-12.A.3.4 Solve systems of linear equations in two variables algebraically and graphically
• Algebra II: 9-12.A.1.17 Solve linear equations and inequalities in one variable including those involving the absolute value of a linear function.