At 60 air temp and 85 water temp, I estimate a heat loss of about 92,250 btu/hr.
If the heat pump puts out 100,000 btu/hr, the heat pump will need to run about 92% of the time to maintain the temp.
The formula for heating is estimated to be Y=87.07−27.07e^(−0.01702x), where Y is temp and X is time in hours.
You should get about 0.46 degrees per hour gain and the loss depends on the water temp.
The estimated time to heat to 85 is 151 hours.
Max temp is 87 degrees.
Note that due to heat loss, the time required to go up by one degree increases as the temp increases.
For example, the time to go from 60 to 61 degrees is 2.21 hours.
The time to go from 84 to 85 degrees is 23 hours, which is more than 10 times as long.

____________________________________________________________________________________________________________
Temperature = (1/3690) * Heat Loss + 60
Y = Temperature.
X= Heat Loss.
Y = 0.000271X + 60

____________________________________________________________________________________________________________
Y = Temperature.
X= Time in hours.
Y=87.07−27.07e^(−0.01702x)
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Pool Temperature vs. Time
Temperature (°F) | Time (hours) |
---|
60.00 | 0.00 |
61.00 | 2.21 |
62.00 | 4.51 |
63.00 | 6.90 |
64.00 | 9.39 |
65.00 | 12.00 |
66.00 | 14.72 |
67.00 | 17.58 |
68.00 | 20.58 |
69.00 | 23.75 |
70.00 | 27.09 |
71.00 | 30.64 |
72.00 | 34.41 |
73.00 | 38.45 |
74.00 | 42.78 |
75.00 | 47.46 |
76.00 | 52.54 |
77.00 | 58.10 |
78.00 | 64.25 |
79.00 | 71.11 |
80.00 | 78.88 |
81.00 | 87.84 |
82.00 | 98.42 |
83.00 | 111.33 |
84.00 | 127.89 |
85.00 | 151.05 |
86.00 | 189.82 |
87.00 | 350.04 |