# US 11,898,443 B2 · Method for perforation clusters stimulation efficiency determination

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- Number: US 11,898,443 B2
- Document ID: US11898443B2
- Status: Granted
- Kind: B2
- Application number: 17/199,114
- Filed: 2018-12-06
- Published: 2021-12-23
- Granted: 2024-02-13
- Earliest claimed: 2018-12-06
- Assignees: Halliburton Energy Services, Inc.
- Applicants: Halliburton Energy Services, Inc.
- Inventors: Tirumani N. Swaminathan; Dinesh Ananda Shetty; Vladimir Nikolayevich Martysevich; Jianfu Ma
- Web page: https://patentgrep.com/patent/US11898443B2

## CPC

- E21B 49/008: {by injection test; by analysing pressure variations in an injection or production test, e.g. for estimating the skin factor (measuring pressure E21B47/06)}
- E21B 43/26: by forming crevices or fractures
- E21B 47/06: Measuring temperature or pressure
- G06F 17/17: Function evaluation by approximation methods, e.g. inter- or extrapolation, smoothing, least mean square method ({G06F17/18 takes precedence } ; interpolation for numerical control G05B19/18)
- E21B: EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- G06F: ELECTRIC DIGITAL DATA PROCESSING (computer systems based on specific computational models G06N)

## Abstract

A method may comprise identifying one or more pressure dissipation mechanisms that drop pressure within a fluid handling system, identifying one or more open flowpath elements, performing a matching algorithm with an information handling system, and initializing the matching algorithm with an estimate of a coefficient. A system may comprise a fluid handling system and an information handling system. The fluid handling system may comprise a fluid supply vessel, wherein the fluid supply vessel is disposed on a surface, pumping equipment, wherein the pumping equipment is attached to the fluid supply vessel and disposed on the surface; a wellbore supply conduit, wherein the wellbore supply conduit is attached to the pumping equipment and disposed in a formation, and a flowpath element, wherein the flowpath element fluidly couples the wellbore supply conduit to the formation.

## Claims

### Claim 1

A method, comprising:
conducting a pumping operation comprising pumping a treatment fluid into a subterranean formation;
creating at least one fracture in the subterranean formation;
obtaining pressure measurements from a pressure sensor during the pumping operation;
identifying one or more pressure dissipation mechanisms within a fluid handling system from at least the pressure measurements, wherein the one or more pressure dissipation mechanisms comprise a perforation resistance and a tortuosity resistance;
identifying one or more active flowpath elements from the pressure dissipation mechanisms;
performing a matching algorithm with an information handling system using the pressure dissipation mechanisms; and
initializing the matching algorithm with an estimate of a coefficient.

### Claim 2 (depends on 1)

The method of claim 1, wherein the one or more pressure dissipation mechanisms further comprise a wellbore friction or an in-situ stress.

### Claim 3 (depends on 1)

The method of claim 1, wherein the matching algorithm is a trust region reflective algorithm or a dogleg algorithm with a rectangular trust region.

### Claim 4 (depends on 1)

The method of claim 1, further comprising changing a pumping schedule.

### Claim 5 (depends on 1)

The method of claim 1, further comprising examining a pumping schedule to identify at least one period of constant operation.

### Claim 6 (depends on 1)

The method of claim 1, further comprising identifying one or more phases in which one or more flowpath elements are constant.

### Claim 7 (depends on 6)

The method of claim 6, wherein the identifying the one or more phases is performed by examining a pumping schedule, creating a probability distribution, or creating a graph of a pressure in view of a flow rate.

### Claim 8 (depends on 7)

The method of claim 7, wherein the graph of the pressure in view of the flow rate records one or more constant flow elements.

### Claim 9 (depends on 1)

The method of claim 1, further comprising dividing the one or more pressure dissipation mechanisms among one or more flowpath elements.

### Claim 10 (depends on 9)

The method of claim 9, wherein the dividing the one or more pressure dissipation mechanisms among one or more discrete elements is found with
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wherein Psection is a measured or a calculated pressure drop, Q is a total flow rate, n is a number of open flowpath elements, and f is a resistance coefficient.

### Claim 11

A system comprising:
a fluid handling system comprising:
a fluid supply vessel, wherein the fluid supply vessel is disposed on a surface;
pumping equipment, wherein the pumping equipment is attached to the fluid supply vessel and disposed on the surface;
a wellbore supply conduit, wherein the wellbore supply conduit is attached to the pumping equipment and disposed in a formation; and
a flowpath element, wherein the flowpath element fluidly couples the wellbore supply conduit to the formation;
a pressure sensor, wherein the pressure sensor obtains pressure measurements during a pumping operation; and
an information handling system configured to:
identify one or more pressure dissipation mechanisms in the fluid handling system from at least the pressure measurements, wherein the one or more pressure dissipation mechanisms comprise a perforation resistance and a tortuosity resistance;
identify one or more active flow elements from the pressure dissipation mechanisms;
perform a matching algorithm with the information handling system using the pressure dissipation mechanisms; and
initialize the matching algorithm with an estimate of a coefficient.

### Claim 12 (depends on 11)

The system of claim 11, wherein the one or more pressure dissipation mechanisms further comprise a wellbore friction or an in-situ stress.

### Claim 13 (depends on 11)

The system of claim 11, wherein the matching algorithm is a trust region reflective algorithm or a dogleg algorithm with a rectangular trust region.

### Claim 14 (depends on 11)

The system of claim 11, wherein the information handling system is further configured to change a pumping schedule.

### Claim 15 (depends on 11)

The system of claim 11, wherein the information handling system is further configured to examine a pumping schedule to identify at least one period of constant operation.

### Claim 16 (depends on 11)

The system of claim 11, wherein the information handling system is further configured to identify one or more phases in which one or more flowpath elements are constant.

### Claim 17 (depends on 16)

The system of claim 16, wherein the information handling system is further configured to examine a pumping schedule, create a probability distribution, or create a graph of a pressure in view of a flow rate.

### Claim 18 (depends on 17)

The system of claim 17, wherein the graph of the pressure in view of the flow rate records one or more constant flow elements.

### Claim 19 (depends on 11)

The system of claim 11, wherein the information handling system is further configured to divide the one or more pressure dissipation mechanisms among one or more flowpath elements.

### Claim 20 (depends on 19)

The system of claim 19, wherein the information handling system is further configured to use
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wherein Psection is a measured or a calculated pressure drop, Q is a total flow rate, n is a number of open flowpath elements, and f is a resistance coefficient.