Chicopee,
To give an answer to your original inquiry, here are some thoughts to ponder:
1. Does the local municipality dictate where that invert is measured? For example, we have a one here that specifies that you give one invert, and that is at the center of the box. That, of course, would require that you determine a box invert based on pipe slope, wall thickness, etc, which I'll get into more in a moment. Others require an invert in and an invert out, some saying utilize no drop across the box, some saying utilize a minimum of 0.2' across the box, and others leaving it to the engineer's discretion.
2. In our area (Piedmont NC), it is quite typical that the inverts are required at the invert (of the pipe) in and (invert of the pipe) out. We can set the actual invert of the box at whatever we like to accomodate the wall thickness and slope of pipe, but we grout an invert from one pipe to the other to facilitate smooth flow. If there is more than one incoming pipe, each invert in is grouted to the invert out in a manner allowing for the best possible smooth transfer of flow.
A. To give a specific example, assume you have a 24" RCP (reinforced concrete pipe) coming in at 2% and another 24" RCP leaving at 5%. The box is precast with 4" sidewalls. Assume a 0.2' fall across the box with inverts grouted from one to the other. The pipe coming in has an invert of 100.00' (To keep calcs simple, we'll assume there is no pipe bell) The 24" RCP wall thickness is 2.6" or 0.22'. Minimum invert of the box would be 99.80'-0.22'(wall thickness) - [(5%x0.33') (pipe slope in box wall)]= 99.56'. To not take account of pipe slope in the box wall and pipe wall thickness would cause problems in casting of the box, though it could be done. By not doing so, you are 'pushing' the pipe down into the bottom of the box and casting that is difficult. Typically, these boxes arrive on site with knockouts larger than the pipe diameters and casting the box invert to the invert of the outlet pipe invert would cause problems in the field.
3. We typically do not put sumps in the boxes due primarily to possible problems with mosquitoes inbetween storm events. In concept, catchments are a smart idea, but if they are not maintained, then all a sump does is give you a little bit longer a time before a problem from debris occurs.
4. In 14 years, I don't think I've ever worked on a storm system that matched pipe crowns, though I would see it as a more optimum method, though possibly a bit more difficult to construct. We are required to maintain HGL within the box and below grade at all points between boxes, but not within the pipes. This puts pipe in pressure flow conditions at times, which can cause scour in misfitted pipe joints, but there has not been enough of this to cause a change in the rules. We provide a minimum of 0.5' of 'buffer' in our computations as a protection measure. PECPESC's comments on HGL and engineering practice are certainly worthy of note.
In summary, local conditions, regulations, pipe material, box construction, soil, etc. affect the overall design and the points made by all are worth consideration, but do not supercede. My comments reflect my own experience and are not meant to impune other's methods, experience or comments.
Hope this helps. Jeff Foster, PE
CE Group, Inc.
Apex, NC