Shake, Rattle and Roll The Fallin Oil Company (FOC) owns 6 oil-producing wells in a region of
Question:
Shake, Rattle and Roll The Fallin Oil Company (FOC) owns 6 oil-producing wells in a region of Oklahoma that has been beset by a lot of seismic activity (specifically, earthquakes). While the scientific evidence is limited with regard to whether the well operation enhances the seismic activity, FOC is a good environmental citizen and has offered these six wells to be operated based upon a USGS-determined optimization model meant to simultaneously consider factors such as production, cost and risk to the environment (specifically, enhancing the likelihood for earthquakes). The model?s use is experimental, and thus, FOC gets a sizeable grant from the State of Oklahoma to trial its use.
Each of the six wells (which have female nicknames: Abigail, Delana, Evelyn, Kelsey, Lucinda and Marissa) possess operational parameters relevant to the study:
- Flow per hour operated (in barrels) - Cost of operation per hour operated (Units)
- EQ ? An EarthQuake enhancement measure ? higher value means the more likely that the continued operation of this will cause enhanced earthquakes.
- MAX ? The maximum hours that this well can be operated during the next operational period.
- Region ? The sub region where the wells are located.
- Safety ? the environmental ?safety? of the well operation. (Higher is better than lower, scale of 1-100).
Create a LP model that determines the optimal number of hours to run each well that minimizes cost while providing at least 1100 barrels of oil. Other requirements of the well production plan:
- Each well cannot operate more than its predefined MAX hours as stated.
- Additionally, each well ALONE cannot account for more than 30% of the total well production hours.
- Based on time (hours), the average EQ across the six wells cannot exceed 6.44. (This is a weighted average based upon hours used times the EQ measure).
- Based on time (hours), the average ?safety? of oil produced must be at least 89. (Similar to above).
- Finally, each region cannot account for more than 55% of the total hours necessary to meet the production output requirements. Hours MUST be whole numbers.
University Physics with Modern Physics
ISBN: 978-0321501219
12th Edition
Authors: Hugh D. Young, Roger A. Freedman, Lewis Ford