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To analyze a hydraulic jump in a rectangular channel with a flow speed of 6 meters per second, follow these steps:Calculate Effective Upstream Velocity:When the downstream gate closes, a hydraulic jump forms, traveling upstream at 2 meters per second. This wave speed combines with the initial channel flow velocity, creating an effective upstream velocity.Identify Flow Velocities Before and After the Hydraulic Jump:Upstream of the hydraulic jump, the effective flow velocity includes both the...
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Basin-scale transmissivity and storativity estimation using hydraulic tomography.

Kristopher L Kuhlman1, Andrew C Hinnell, Phoolendra K Mishra

  • 1Department of Hydrology and Water Resources, University of Arizona, Tucson, AZ 85721, USA.

Ground Water
|June 5, 2008
PubMed
Summary

Hydraulic tomography (HT) effectively estimates basin-wide aquifer properties by integrating multiple tests. This advanced method surpasses traditional Theis analysis for large-scale groundwater resource assessment.

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Area of Science:

  • Hydrogeology
  • Geophysics
  • Numerical modeling

Background:

  • Tomographic inversion is established for lab/field scales.
  • Scaling hydraulic tomography (HT) to basin-scale presents challenges.
  • Traditional methods like Theis analysis have limitations for large, complex systems.

Purpose of the Study:

  • To apply hydraulic tomography (HT) to a synthetic basin.
  • To demonstrate the superiority of HT over traditional Theis analysis for basin-scale aquifer testing.
  • To assess the robustness of the sequential successive linear estimator (SSLE) algorithm.

Main Methods:

  • Application of the hydraulic tomography (HT) concept.
  • Joint interpretation of four multiwell aquifer tests.
  • Estimation of transmissivity and storativity using the geostatistically based sequential successive linear estimator (SSLE) inverse solution method.

Main Results:

  • HT inversion effectively integrates data from disparate aquifer tests for basin-wide property estimation.
  • The SSLE algorithm shows robustness against noisy data and varied initial conditions.
  • HT and SSLE provide more accurate groundwater flow velocities and storage estimates compared to Theis analysis.

Conclusions:

  • Hydraulic tomography is a superior approach for basin-scale aquifer characterization.
  • The SSLE method is robust and effective for large-scale inverse problems.
  • This study highlights the advantages of HT for regional groundwater management and modeling.