(Solution) - A well at a distance d from an impermeable boundary -(2025 Original AI-Free Solution)

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A well at a distance d from an impermeable boundary at a flow rat Q. The head and any point (x, y) is given by the following equation:

Where C is a constant, r1 is the straight line distance from the well to the point (x, y), and r2 is the distance from the image well to the point (x, y). The y-axis lies along the impregnable boundary. Use Darcy's law to show that the flow across the boundary (y-axis) is indeed zero?