Method for determining the net torque and the instantaneous horsepower of a pumping unit

Claim 1

A method for determining the instantaneous net torque of a pumping unit having a polished rod and a crank arm wherein the pumping period is the time required for the crank arm to rotate 360* and wherein the polished rod loads and the counterbalance torque of the pumping unit have been determined, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals over the pumping period; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at particular angular positions of the crank arm over the pumping period; calculating torque factors from the dimensions of the pumping unit to obtain calculated torque factors at particular angular positions of the crank arm over a complete pumping period; comparing a particular measured polished rod displacement with the calculated polished rod displacements to determine a corresponding calculated polished rod displacement value; determining the calculated torque factor corresponding to the corresponding calculated polished rod displacement; and calculating the instantaneous net torque of the pumping unit utilizing the counterbalance torque, the polished rod loads, and the calculated torque factor corresponding to the corresponding calculated polished rod displacement.

Claim 2

A method for determining the instantaneous net torque of a pumping unit having a polished rod and a crank arm wherein the pumping period is the time required for the crank arm to rotate 360* and wherein the polished rod loads and the counterbalance torque of the pumping unit have been determined, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals over the pumping period; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at particular angular positions of the crank arm over the pumping period; calculating torque factors from the dimensions of the pumping unit to obtain calculated torque factors at particular angular positions of the crank arm over a complete pumping period; comparing a particular measured polished rod displacement with the calculated polished rod displacements to determine a corresponding calculated polished rod displacement value; determining the calculated torque factor corresponding to the corresponding calculated polished rod displacement; and calculating the instantaneous net torque of the pumping unit utilizing the counterbalance torque, the polished rod loads, and the calculated torque factor corresponding to the corresponding calculated polished rod displacement.

Claim 3

A method for determining the instantaneous net torque of a pumping unit having a polished rod and a crank arm wherein the pumping period is the time required for the crank arm to rotate 360* and wherein the counterbalance torque of the pumping unit has been determined, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals over the pumping period; measuring the polished rod load of the pumping unit at particular time intervals over the pumping period to obtain measured polished rod loads; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at particular angular positions of the crank arm over the pumping period; comparing a particular measured polished rod displacement with the calculated polished rod displacements to determine a corresponding calculated polished rod displacement value; determining the crank angle corresponding to the corresponding calculated polished rod displacement; calculating the calculated torque factor at the crank angle corresponding to the corresponding calculated polished rod displacement; and calculating the net torque of the pumping unit utilizing the counterbalance torque, the calculated torque factor and the measured polished rod load corresponding to the corresponding calculated polished rod displacement.

Claim 4

A method for determining the instantaneous net torque of a pumping unit having a polished rod and a crank arm wherein the pumping period is the time required for the crank arm to rotate 360* and wherein the counterbalance torque of the pumping unit has been determined, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals over the pumping period; measuring the polished rod load of the pumping unit at particular time intervals over the pumping period to obtain measured polished rod loads; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at particular angular positions of the crank arm over the pumping period; comparing a particular measured polished rod displacement with the calculated polished rod displacements to determine a corresponding calculated polished rod displacement value; determining the crank angle corresponding to the corresponding calculated polished rod displacement; calculating the calculated torque factor at the crank angle corresponding to the corresponding calculated polished rod displacement; and calculating the net torque of the pumping unit utilizing the counterbalance torque, the calculated torque factor and the measured polished rod load corresponding to the corresponding calculated polished rod displacement.

Claim 5

A method for determining the instantaneous net torque of a pumping unit having a polished rod and a crank arm wherein the pumping period is the time required for the crank arm to rotate 360* and wherein the polished rod loads and the counterbalance torque of the pumping unit have been determined, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals over the pumping period; normalizing each measured polished rod displacement; calculating from the dimensions of the particular pumping unit the calculated polished rod displacements at particular angular positions of the crank arm over the pumping period; normalizing each calculated polished rod displacement; calculating from the dimensions of a particular pumping unit the calculated torque factor at particular angular positions of the crank arm over the pumping period; scanning the calculated polished rod displacements to determine a calculated polished rod displacement corresponding to one predetermined measured polished rod displacement; determining the calculated torque factor corresponding to the calculated polished rod displacement corresponding to the one predetermined measured polished rod displacement; and calculating the instantaneous net torque of the pumping unit utilizing the counterbalance torque, the polished rod loads, and the calculated torque factor corresponding to the corresponding calculated polished rod displacement.

Claim 6

A method for determining the instantaneous net torque of a pumping unit having a polished rod and a crank arm wherein the pumping period is the time required for the crank arm to rotate 360* and wherein the polished rod loads and the counterbalance torque of the pumping unit have been determined, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals over the pumping period; normalizing each measured polished rod displacement; calculating from the dimensions of the particular pumping unit the calculated polished rod displacements at particular angular positions of the crank arm over the pumping period; normalizing each calculated polished rod displacement; calculating from the dimensions of a particular pumping unit the calculated torque factor at particular angular positions of the crank arm over the pumping period; scanning the calculated polished rod displacements to determine a calculated polished rod displacement corresponding to one predetermined measured polished rod displacement; determining the calculated torque factor corresponding to the calculated polished rod displacement corresponding to the one predetermined measured polished rod displacement; and calculating the instantaneous net torque of the pumping unit utilizing the counterbalance torque, the polished rod loads, and the calculated torque factor corresponding to the corresponding calculated polished rod displacement.

Claim 7

A method for determining the instantaneous net torque of a pumping unit having a polished rod and a crank arm wherein the pumping period is the time required for the crank arm to rotate 360* and wherein the counterbalance torque of the pumping unit has been determined, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals over the pumping period; measuring the polished rod load of the pumping unit at particular time intervals over the pumping period to obtain measured polished rod loads; normalizing each measured polished rod displacement; calculating from the dimensions of the particular pumping unit the calculated polished rod displacements at particular angular positions of the crank arm over the pumping period; normalizing each calculated polished rod displacement; scanning the normalized calculated polished rod displacements to determine a normalized calculated polished rod displacement corresponding to one predetermined normalized measured polished rod displacement; determining the angular position of the crank arm corresponding to the normalized calculated polished rod displacement corresponding to the one predetermined normalized measured polished rod displacement; calculating from the dimensions of a particular pumping unit the calculated torque factor at the particular angular position of the crank arm corresponding to the corresponding normalized calculated polished rod displacement; and calculating the instAntaneous net torque of the pumping unit utilizing the counterbalance torque, the measured polished rod load and the calculated torque factor corresponding to the corresponding calculated polished rod displacement.

Claim 8

A method for determining the instantaneous net torque of a pumping unit having a polished rod and a crank arm wherein the pumping period is the time required for the crank arm to rotate 360* and wherein the counterbalance torque of the pumping unit has been determined, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals over the pumping period; measuring the polished rod load of the pumping unit at particular time intervals over the pumping period to obtain measured polished rod loads; normalizing each measured polished rod displacement; calculating from the dimensions of the particular pumping unit the calculated polished rod displacements at particular angular positions of the crank arm over the pumping period; normalizing each calculated polished rod displacement; scanning the normalized calculated polished rod displacements to determine a normalized calculated polished rod displacement corresponding to one predetermined normalized measured polished rod displacement; determining the angular position of the crank arm corresponding to the normalized calculated polished rod displacement corresponding to the one predetermined normalized measured polished rod displacement; calculating from the dimensions of a particular pumping unit the calculated torque factor at the particular angular position of the crank arm corresponding to the corresponding normalized calculated polished rod displacement; and calculating the instAntaneous net torque of the pumping unit utilizing the counterbalance torque, the measured polished rod load and the calculated torque factor corresponding to the corresponding calculated polished rod displacement.

Claim 9

A method for determining the torque factor to be utilized in calculating various parameters of a pumping unit requiring a determination of the torque factor of the pumping unit, having a polished rod and a crank arm, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at particular angular positions of the crank arm; calculating torque factors from the dimensions of the pumping unit to obtain calculated torque factors at particular angular positions of the crank arm; comparing a particular measured polished rod displacement with the calculated polished rod displacements to determine a corresponding calculated polished rod displacement value; and determining the calculated torque factor corresponding to the corresponding calculated polished rod displacement.

Claim 10

A method for determining the torque factor to be utilized in calculating various parameters of a pumping unit requiring a determination of the torque factor of the pumping unit, having a polished rod and a crank arm, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at particular angular positions of the crank arm; calculating torque factors from the dimensions of the pumping unit to obtain calculated torque factors at particular angular positions of the crank arm; comparing a particular measured polished rod displacement with the calculated polished rod displacements to determine a corresponding calculated polished rod displacement value; and determining the calculated torque factor corresponding to the corresponding calculated polished rod displacement.

Claim 11

A method for determining the torque factor to be utilized in calculating various parameters of a pumping unit requiring a determination of the torque factor of the pumping unit, having a polished rod and a crank arm, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at a particular angular position of the crank arm; comparing a particular measured polished rod displacement with the calculated polished rod displacements to determine a corresponding calculated polished rod displacement value; determining the crank angle corresponding to the corresponding calculated polished rod displacement; and calculating the calculated torque factor at the crank angle corresponding to the corresponding calculated polished rod displacement.

Claim 12

A method for determining the torque factor to be utilized in calculating various parameters of a pumping unit requiring a determination of the torque factor of the pumping unit, having a polished rod and a crank arm, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at a particular angular position of the crank arm; comparing a particular measured polished rod displacement with the calculated polished rod displacements to determine a corresponding calculated polished rod displacement value; determining the crank angle corresponding to the corresponding calculated polished rod displacement; and calculating the calculated torque factor at the crank angle corresponding to the corresponding calculated polished rod displacement.

Claim 13

A method for determining the torque factor to be utilized in calculating various parameters of a pumping unit requiring a determination of the torque factor of the pumping unit, having a polished rod and a crank arm, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals; normalizing the measured polished rod displacements; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at particular angular positions of the crank arm; normalizing the calculated polished rod displacements; comparing a particular normalized measured polished rod displacement with the normalized calculated polished rod displacements to determine a corresponding normalized calculated polished rod displacement value; determining the crank angle corresponding to the corresponding normalized calculated polished rod displacement; and calculating the calculated torque factor at the crank angle corresponding to the corresponding normalized calculated polished rod displacement.

Claim 14

A method for determining the torque factor to be utilized in calculating various parameters of a pumping unit requiring a determination of the torque factor of the pumping unit, having a polished rod and a crank arm, the method comprising: measuring actual polished rod displacements of the pumping unit to obtain measured polished rod displacements at particular time intervals; normalizing the measured polished rod displacements; calculating polished rod displacements from the dimensions of the pumping unit to obtain calculated polished rod displacements at particular angular positions of the crank arm; normalizing the calculated polished rod displacements; comparing a particular normalized measured polished rod displacement with the normalized calculated polished rod displacements to determine a corresponding normalized calculated polished rod displacement value; determining the crank angle corresponding to the corresponding normalized calculated polished rod displacement; and calculating the calculated torque factor at the crank angle corresponding to the corresponding normalized calculated polished rod displacement.