{"id":904,"date":"2020-12-09T05:04:33","date_gmt":"2020-12-09T05:04:33","guid":{"rendered":"https:\/\/books.gw-project.org\/hydrogeologic-properties-of-earth-materials-and-principles-of-groundwater-flow\/?post_type=chapter&p=904"},"modified":"2020-12-30T04:43:36","modified_gmt":"2020-12-30T04:43:36","slug":"solution-to-exercise-9","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/hydrogeologic-properties-of-earth-materials-and-principles-of-groundwater-flow\/chapter\/solution-to-exercise-9\/","title":{"raw":"Solution to Exercise 9","rendered":"Solution to Exercise 9"},"content":{"raw":"9) A confined aquifer underlies a 10 km2<\/sup> area. The average water level in a number of wells penetrating the confined system rose 2.5 m from April through June. An overlying unconfined aquifer showed an average water table rise of 2.5 m over the same period of time.\r\nAssume the storativity for the confined system is 3.6 \u00d7 10-5<\/sup>, and specific yield is 0.12 for the unconfined system. How much water (in m3<\/sup>) recharged each aquifer based on the responses of each potentiometric surface?\r\n\r\nAssume the storativity, S<\/em>, for the confined system is 3.6 \u00d7 10-5<\/sup>, and specific yield, S<\/em>y<\/em><\/sub>, is 0.12 for the unconfined system. How much water (in m3<\/sup>) recharged each aquifer based on the responses of each potentiometric surface?\r\n\r\nUnconfined aquifer\r\nApplying Equation 48 in this book to compute the volume of water recharged:\r\n\r\n\r\n\r\n\r\n
Volume of Unconfined Water for a change in head<\/em> = S<\/em>y<\/em><\/sub>A<\/em>\u2206h<\/em><\/td>\r\n<\/tr>\r\n
Unconfined Volume = [latex]\\displaystyle 0.12\\ 10\\ \\textup{km}^2\\frac{1,000,000\\ \\textup{m}^2}{1\\ \\textup{km}^2}\\ 2.5\\ \\textup{m}=3\\times{10}^6\\ \\textup{m}^3[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nConfined aquifer\r\nApplying Equation 50 in this book to compute the volume of water recharged:\r\n\r\n\r\n\r\n\r\n
Volume of Confined Water for a change in head<\/em> = SA<\/em>\u0394h<\/em><\/td>\r\n<\/tr>\r\n
Confined Volume = [latex]\\displaystyle 3.6 \\times {10}^{-5}\\ 10\\ \\textup{km}^2\\frac{1,000,000\\ \\textup{m}^2}{1\\ \\textup{km}^2}\\ 2.5\\ \\textup{m}=900\\ \\textup{m}^3[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nThe unconfined aquifer received 3,333 times as much water as the confined aquifer.\r\n

Return to Exercise 9<\/a><\/p>","rendered":"

9) A confined aquifer underlies a 10 km2<\/sup> area. The average water level in a number of wells penetrating the confined system rose 2.5 m from April through June. An overlying unconfined aquifer showed an average water table rise of 2.5 m over the same period of time.
\nAssume the storativity for the confined system is 3.6 \u00d7 10-5<\/sup>, and specific yield is 0.12 for the unconfined system. How much water (in m3<\/sup>) recharged each aquifer based on the responses of each potentiometric surface?<\/p>\n

Assume the storativity, S<\/em>, for the confined system is 3.6 \u00d7 10-5<\/sup>, and specific yield, S<\/em>y<\/em><\/sub>, is 0.12 for the unconfined system. How much water (in m3<\/sup>) recharged each aquifer based on the responses of each potentiometric surface?<\/p>\n

Unconfined aquifer
\nApplying Equation 48 in this book to compute the volume of water recharged:<\/p>\n\n\n\n\n
Volume of Unconfined Water for a change in head<\/em> = S<\/em>y<\/em><\/sub>A<\/em>\u2206h<\/em><\/td>\n<\/tr>\n
Unconfined Volume = \"\displaystyle 0.12\ 10\ \textup{km}^2\frac{1,000,000\ \textup{m}^2}{1\ \textup{km}^2}\ 2.5\ \textup{m}=3\times{10}^6\ \textup{m}^3\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Confined aquifer
\nApplying Equation 50 in this book to compute the volume of water recharged:<\/p>\n\n\n\n\n
Volume of Confined Water for a change in head<\/em> = SA<\/em>\u0394h<\/em><\/td>\n<\/tr>\n
Confined Volume = \"\displaystyle 3.6 \times {10}^{-5}\ 10\ \textup{km}^2\frac{1,000,000\ \textup{m}^2}{1\ \textup{km}^2}\ 2.5\ \textup{m}=900\ \textup{m}^3\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

The unconfined aquifer received 3,333 times as much water as the confined aquifer.<\/p>\n

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