Interactive engineering model
Muskingum prism and wedge storage
Follow a Gaussian teaching flood wave through stable Muskingum subreaches. Inspect prism and signed wedge storage in the final subreach alongside total storage summed over the full cascade.
Preparing the 3D model...
The drawing represents the final routed subreach, using its own inflow, outflow and storage time Ks. Its tapered blue water body preserves the model's prism Ks times O and signed wedge Ks times X times (I minus O) volume ratio before longitudinal display compression. Teal marks added wedge water; orange dashed outlines mark missing water below the gray prism reference during recession. X equal to zero gives a level surface. There is no artificial minimum water film, and extremely small depths are omitted from the drawing only. Separate readouts sum storage across all routed subreaches, while the hydrograph compares the full cascade's Gaussian inflow and final outflow.
Diagram labels
Numbers match the callouts in the view. Drag to inspect the model; crowded callouts remain listed here.
Focus the 3D view and use the arrow keys to orbit, plus or minus to zoom, and Home to reset the view.
Text explanation and non-WebGL fallback
The drawing represents the final routed subreach, using its own inflow, outflow and storage time Ks. Its tapered blue water body preserves the model's prism Ks times O and signed wedge Ks times X times (I minus O) volume ratio before longitudinal display compression. Teal marks added wedge water; orange dashed outlines mark missing water below the gray prism reference during recession. X equal to zero gives a level surface. There is no artificial minimum water film, and extremely small depths are omitted from the drawing only. Separate readouts sum storage across all routed subreaches, while the hydrograph compares the full cascade's Gaussian inflow and final outflow.
The numeric controls and readouts remain usable if WebGL is unavailable. Drag or swipe the 3D view to orbit and use a wheel or pinch gesture to zoom. With the 3D view focused, use the arrow keys to orbit, plus or minus to zoom, and Home to reset. The complete numeric lesson is also keyboard-accessible in the adjacent controls and readouts. This model is an educational aid and does not replace applicable design standards or professional review.