I see your post was 2 years ago and I'm sure you figured out something, I had this problem and I just called the county and told them their design of my street was illegally dumping water into my driveway and they came and made a street bump for free and it works fine.... then again I am one of those "she who figures out how to make other people fix their mistakes on their dime since they caused the problem."
man, i am going to try as exactly how you phrased it -I TAKE THE WATER from the roadway and take it ALL & how this place was laid out there is the "pit" the size of an olympic swimming pool that has on occasion OVERFLOWED to the back acreage belonging to another who is THANKFULLY UNDERSTANDING. mygawd, the folksies that have moved here to an AG zone are fussy and were concerned about mosquitos etc neglecting to THINK whatthehell would happen IF I BLOCK IT ALL OFF. we have had what the realtors COULD list as a "seasonal brook" running right into here. IT remains the problem of how their road was laid out. Unlike the person posting,i simply took old lumber and braced it with gravel,the red clay dirt and a tiny bit of sand and made the improvised "hump" diverting the water away from the house but still running into the "pit"- and being I am left handed and see things differently--what would happen IF this person simply cut a ditch right where it's needed and pours his concrete mix right there,shapes it and cures it ? LOL !! if it cannot be worked out w/the highway guys,-then-when i can, that's exactly what i'm a gonna do. i think it can work. the ditch IS the form, etc...
Boy, talk about a Rube Goldberg project! As a civil engineer very familiar with concrete work, I think you over thought this project to much, and maybe too little. To much on the mix, not enough on the properties on concrete. However, it is repairable, and much cheaper than hiring a contractor to replace. The problem I see is believed to be stress cracks. Concrete strength is only fifteen percent in tensile strength of the rated compression strength. Perhaps you should have put in a little re bar to hold it all together. You can buy rebar at any local Home Depot or Lowes buy the piece. Also, over the long length, perhaps an expansion joint would have been best. But, you learn by doing, and no construction project ever goes perfect. From what I see, I would just add some caulk rated for concrete driveways. You will be fine. For a deluxe job, you could chisel in an expansion joint. The whole thing should cost about $20 for all the above and take about two more hours. In construction we are always repairing things that don't just right the first time. I give you credit for trying, and don't give up so easily. Good Luck.
Do you have pictures of the speed bump?
I would add a strip of 6x6x6 wire the width of the berm Use a concrete adhesive in the mix and apply some directly to the existing concrete. Use a high strength concrete but would suggest making it up to 4” taper on both sides to 12” overall So 4” x 12” Good luck and I have a similar problem
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