2. Level Circuit LS Adjustment

For the leveling circuit in Figure B-1

Figure B-1 Level Circuit

and these observed elevation differences

what are the elevations of points Q and R?

A traditional simple adjustment is difficult to apply in this situation. Because point Q is connected to four benchmarks and point R to three, any simple adjustment attempted will result in multiple elevations for each point.

With a small network like this, a Brute Force approach might be feasible. Using the observed elevation differences, compute all possible elevations for points Q and R, then simply average them.

Point Q elevations and their average are:

Similarly, for point R:

Compute S_o

Compute residuals using the adjusted elevations and the individually computed elevations used for the averages.

There are seven observations (m) and two unknown elevations (n).