1 of Use the figure below to determine the substitute horizontal & substitute vertical hydraulic conductivity for the entire formation. Be sure to write out the equations with units first. Final answers need to include units. ho 16 m 0 K= 4 m/day K= 8 m/day- K= 6 m/day. 3 m- 2m L 100 m hL 14 m
1 of Use the figure below to determine the substitute horizontal & substitute vertical hydraulic conductivity for the entire formation. Be sure to write out the equations with units first. Final answers need to include units. ho 16 m 0 K= 4 m/day K= 8 m/day- K= 6 m/day. 3 m- 2m L 100 m hL 14 m
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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Transcribed Image Text:**Title:** Determining Substitute Hydraulic Conductivity
**Overview:**
Use the figure below to determine the substitute horizontal and substitute vertical hydraulic conductivity for the entire formation. Be sure to write out the equations with units first. Final answers need to include units.
**Diagram Description:**
- The diagram illustrates a cross-section of an underground formation composed of three distinct layers, each with different hydraulic conductivities.
- The layers are distinguished by their hydraulic conductivity (K) values, given in meters per day (m/day), and their respective thicknesses.
**The Layers:**
1. **Top Layer:**
- Thickness: 3 meters
- Hydraulic Conductivity: \( K = 4 \, \text{m/day} \)
2. **Middle Layer:**
- Thickness: 7 meters
- Hydraulic Conductivity: \( K = 8 \, \text{m/day} \)
- Contains a horizontal direction arrow indicating flow.
3. **Bottom Layer:**
- Thickness: 2 meters
- Hydraulic Conductivity: \( K = 6 \, \text{m/day} \)
**Total Height and Length:**
- **Initial Head (\( h_0 \)):** 16 meters
- **Final Head (\( h_L \)):** 14 meters
- **Length (\( L \)):** 100 meters
**Instructions:**
- Calculate both substitute horizontal and vertical hydraulic conductivities considering the entire formation.
- Conduct calculations step-by-step, ensuring all units are consistent.
**Graphical Elements:**
- Arrows and labeled dimensions guide the understanding of water flow and the spatial layout of the subsurface layers.
- The vertical arrangement shows the combined effect of all three layers, aiding in visualizing the flow dynamics through heterogeneous materials.
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