Estimation of pipe friction and stage resistance based on pressure temporal gradient
AssigneeHalliburton Energy Services, Inc.
InventorsDerek Shelby Bale, Zhijie Sun
Life of this patent
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Abstract
A method for evaluating one or more properties of a wellbore. The method may include generating a tube wave in a wellbore, measuring a pressure created by the tube wave at a wellhead and creating a time-domain model based at least in part on the pressure. The method may further include identifying a Darcy factor and a stage resistance based at least in part on the time-domain model.
Claims20
A method comprising:
- generating a tube wave in a tubular of a wellbore;
- measuring a pressure created by the tube wave at a wellhead;
- creating a time-domain model based at least in part on the pressure;
- and
- identifying a Darcy factor, wherein the Darcy factor is found using
- α
- =
- fLQ
- 0
- 2
-
- V
- w
-
- DA
- ,
- where the α is a pipe friction, f is a friction factor, L is a length of one or more tubulars in the wellbore, Qo is a flow rate, Vw is a speed of the tube wave in the tubular, D is a diameter of the tubular, and A is an a cross sectional area of the tubular:
- and a stage resistance based at least in part on the time-domain model.
A non-transitory machine-readable medium having data stored therein representing a software executable by a computer, the software executable comprising instructions configured to:
- recording from a transducer one or more measurements a pressure created by a tube wave in a tubular of a wellbore at a wellhead;
- creating a time-domain model based at least in part on the pressure;
- and
- identifying a Darcy factor and a stage resistance based at least in part on the time-domain model, wherein the stage resistance is found using
- R
- =
- RA
- ρ
- 0
-
- V
- w
- ,
- where R is the stage resistance, R is a resistance in a tubular, A is a cross sectional area of the tubular, ρ0 is a fluid density, and Vw is a speed of the tube wave in the tubular.
A system comprising:
- a transducer to measure a pressure created by a tube wave at a wellhead;
- and
- an information handling system connected to the transducer and configured to:
- create a time-domain model based at least in part on the pressure;
- and
- identify a Darcy factor and a stage resistance based at least in part on the time-domain model, wherein the stage resistance is found using
- R
- =
- RA
- ρ
- 0
-
- V
- w
- ,
- where R is the stage resistance, R is a resistance in the tubular, A is a cross sectional area of the tubular, ρ0 is a fluid density, and Vw is a speed of the tube wave in the tubular.
Dependencies are inferred from the claim text.