Distance From Observation Well To Image Well Calculator

Formula Used:

\[ r_i = r_r \times \sqrt{\frac{t_i}{t_r}} \]

Distance from Observation Well to Real Well:

Time of Drawdown caused by Image Well:

Time of Drawdown caused by Real Well:

Distance from Observation Well to Image Well:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Distance from Observation Well to Image Well?

Distance from Observation Well to Image Well is the hydraulic distance to boundaries from the analysis of aquifer-test data. It represents the calculated distance to an imaginary well that accounts for boundary effects in aquifer analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_i = r_r \times \sqrt{\frac{t_i}{t_r}} \]

Where:

\( r_i \) — Distance from Observation Well to Image Well (m)
\( r_r \) — Distance from Observation Well to Real Well (m)
\( t_i \) — Time of Drawdown caused by Image Well (s)
\( t_r \) — Time of Drawdown caused by Real Well (s)

Explanation: This formula calculates the hydraulic distance to boundaries using the square root relationship between distance and time of drawdown in aquifer analysis.

3. Importance of Distance Calculation

Details: Accurate calculation of distance to image well is crucial for proper aquifer boundary analysis, groundwater modeling, and understanding the hydraulic properties of aquifers with boundary conditions.

4. Using the Calculator

Tips: Enter distance from observation well to real well in meters, time of drawdown caused by image well in seconds, and time of drawdown caused by real well in seconds. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an image well in hydrogeology?
A: An image well is an imaginary well used in aquifer analysis to account for boundary effects such as impermeable barriers or constant head boundaries.

Q2: Why is the square root function used in this formula?
A: The square root function represents the relationship between distance and time in groundwater flow, following the principles of Theis solution for radial flow to a well.

Q3: What units should be used for input values?
A: Distance should be in meters (m) and time should be in seconds (s) for consistent results. Ensure all units are consistent throughout the calculation.

Q4: When is this calculation typically used?
A: This calculation is used in pumping test analysis when dealing with bounded aquifers to determine the location and effect of aquifer boundaries.

Q5: What are the limitations of this approach?
A: This method assumes ideal conditions and may not account for complex aquifer heterogeneity or multiple boundary interactions.