System and method for changing proppant concentration
Disclosed are systems and methods utilizing multiple parallel pumps to deliver a mixture of the proppant and clean fluid via a manifold trailer. One method of providing a step-change in proppant concentration includes selecting a first flow rate for a first pump connected between a first input node and first output node, calculating a first transit time for a flow of a fluid at the first flow rate through a first flow path extending from the first inlet node, through the first pump, and to the first outlet node, and calculating a second flow rate for a second pump connected between the first input node and the first output node such that a second transit time for a flow of the fluid through a second flow path extending from the first inlet node, through the second pump, and to the first outlet node is equal to the first transit time.
1. A method of providing a step-change in proppant concentration, the method comprising:
selecting a first flow rate for a first pump connected between a first inlet node and first outlet node;
calculating a first transit time for a flow of a fluid at the first flow rate through a first flow path extending from the first inlet node, through the first pump, and to the first outlet node; and
calculating a second flow rate for a second pump connected between the first inlet node and the first outlet node such that a second transit time for a flow of the fluid through a second flow path extending from the first inlet node, through the second pump, and to the first outlet node is equal to the first transit time.
2. The method of claim 1 , further comprising simultaneously operating the first and second pumps respectively at the first and second flow rates.
3. The method of claim 1 , wherein calculating the first transit time comprises calculating a first fluid volume within the first flow path and dividing the first fluid volume by the first flow rate.
4. The method of claim 1 , wherein calculating the second flow rate comprises calculating a second fluid volume within the second flow path and dividing the second fluid volume by the first transit time.
5. The method of claim 1 , wherein the second flow path does not pass through any portion of the first flow path.
6. The method of claim 1 , further comprising:
determining a calculated total flow rate by summing at least the first and second flow rates;
determining a ratio of a desired total flow rate to the calculated total flow rate; and
calculating first and second adjusted flow rates by respectively multiplying the first and second flow rates by the ratio.
7. The method of claim 6 , further comprising simultaneously operating the first and second pumps respectively at the first and second adjusted flow rates.
8. The method of claim 7 , further comprising pumping the fluid into a wellbore using the first and second pumps, wherein the fluid comprises a fracturing fluid.
9. The method of claim 1 , further comprising:
calculating a third transit time for a flow of the fluid at the first flow rate through a third flow path extending from a second inlet node, through the first inlet node, through the first pump, through the first outlet node, and to a second outlet node; and
calculating a third flow rate for a third pump connected between the second inlet node and the second outlet node such that a fourth transit time for a flow of fluid through a fourth flow path extending from the second inlet node, through the third pump, and to the second outlet node is equal to the first transit time.
10. The method of claim 9 , wherein the fourth flow path does not pass through any portion of the first, second, or third flow paths.
11. The method of claim 9 , further comprising simultaneously operating the first, second, and third pumps, respectively, at the first, second, and third flow rates.
12. The method of claim 11 , further comprising pumping the fluid into a wellbore using the first, second, and third pumps, wherein the fluid comprises a fracturing fluid.
13. The method of claim 9 , further comprising:
calculating a fifth transit time for a flow of the fluid at the first flow rate through a fifth flow path extending from a third inlet node, through the second inlet node, through the first inlet node, through the first pump, through the first outlet node, through the second outlet node, and to a third outlet node; and
calculating a fourth flow rate for a fourth pump connected between the third inlet node and the third outlet node such that a sixth transit time for a flow of fluid through a sixth flow path extending from the third inlet node, through the fourth pump, and to the third outlet node is equal to the fifth transit time.
14. The method of claim 13 , wherein the sixth flow path does not pass through any portion of the first, second, third, fourth, or fifth flow paths.
15. The method of claim 13 , further comprising simultaneously operating the first, second, third, and fourth pumps, respectively, at the first, second, third, and fourth flow rates.
16. The method of claim 15 , further comprising pumping the fluid into a wellbore using the first, second, third, and fourth pumps, wherein the fluid comprises a fracturing fluid.