### Abstract

An algebraic technological function (ATF) is shown to exist for an aquifer whose flow to wells can be remodeled by Boussinesq's equation. Drawdown is shown to be an infinite power series in pumping values, and the ATF is provided by a finite sum of the power series. The number of terms necessary for the finite sum to provide a good approximation to the infinite series is shown to depend on a ratio of drawdown to saturated thickness. The ATF can be used in optimization techniques or as a method for predicting drawdowns from pumping.

Original language | English (US) |
---|---|

Pages (from-to) | 877-881 |

Number of pages | 5 |

Journal | Water Resources Research |

Volume | 10 |

Issue number | 4 |

State | Published - Aug 1974 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Aquatic Science
- Environmental Science(all)
- Environmental Chemistry
- Water Science and Technology

### Cite this

**NONLINEAR TECHNOLOGICAL FUNCTIONS FOR AQUIFERS WHOSE TRANSMISSIVITIES VARY WITH DRAWDOWN.** / Maddock, Thomas.

Research output: Contribution to journal › Article

*Water Resources Research*, vol. 10, no. 4, pp. 877-881.

}

TY - JOUR

T1 - NONLINEAR TECHNOLOGICAL FUNCTIONS FOR AQUIFERS WHOSE TRANSMISSIVITIES VARY WITH DRAWDOWN.

AU - Maddock, Thomas

PY - 1974/8

Y1 - 1974/8

N2 - An algebraic technological function (ATF) is shown to exist for an aquifer whose flow to wells can be remodeled by Boussinesq's equation. Drawdown is shown to be an infinite power series in pumping values, and the ATF is provided by a finite sum of the power series. The number of terms necessary for the finite sum to provide a good approximation to the infinite series is shown to depend on a ratio of drawdown to saturated thickness. The ATF can be used in optimization techniques or as a method for predicting drawdowns from pumping.

AB - An algebraic technological function (ATF) is shown to exist for an aquifer whose flow to wells can be remodeled by Boussinesq's equation. Drawdown is shown to be an infinite power series in pumping values, and the ATF is provided by a finite sum of the power series. The number of terms necessary for the finite sum to provide a good approximation to the infinite series is shown to depend on a ratio of drawdown to saturated thickness. The ATF can be used in optimization techniques or as a method for predicting drawdowns from pumping.

UR - http://www.scopus.com/inward/record.url?scp=0016091361&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016091361&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0016091361

VL - 10

SP - 877

EP - 881

JO - Water Resources Research

JF - Water Resources Research

SN - 0043-1397

IS - 4

ER -