# US 12,215,570 B2 · Method of drilling string assembly for secondary opening of a productive formation

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- Number: US 12,215,570 B2
- Document ID: US12215570B2
- Status: Granted
- Kind: B2
- Application number: 17/530,605
- Filed: 2021-11-19
- Published: 2022-03-10
- Granted: 2025-02-04
- Earliest claimed: 2019-10-22
- Applicants: Ilia Liagov; Alexandr Lyagov; Marina Kachemayeva
- Inventors: Ilia Liagov; Alexandr Lyagov; Marina Kachemayeva
- Web page: https://patentgrep.com/patent/US12215570B2

## CPC

- E21B 41/00: Equipment or details not covered by groups E21B15/00 - E21B40/00
- E21B 44/00: Automatic control systems specially adapted for drilling operations, i.e. self-operating systems which function to carry out or modify a drilling operation without intervention of a human operator, e.g. computer-controlled drilling systems; Systems specially adapted for monitoring a plurality of drilling variables or conditions
- G01M 5/0025: {of elongated objects, e.g. pipes, masts, towers or railways (G01M5/0058 takes precedence)}
- G01M 5/0066: {by exciting or detecting vibration or acceleration (vibration testing of structures G01M7/00)}
- G01M 7/00: Vibration-testing of structures; Shock-testing of structures (G01M9/00 takes precedence)
- E21B 2200/20: Computer models or simulations, e.g. for reservoirs under production, drill bits
- E21B: EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- G01M: TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR

## Abstract

A method of a drilling string assembly for drilling small-diameter branched channels, including installation of operating elements arranged in a dynamically perturbed section of a loaded part of the drilling string. Moreover, a drilling string assembly, comprising oscillators arranged as coupled oscillators, a bit, a spindle section of a bottom-hole motor, power sections of a screw bottom-hole motor, assemblies of rigid and flexible pipes, as well as a device for regulating the axial load, are installed on a test bench. Bench tests are carried out according to modelled programs of possible emergency or non-emergency operating modes of the assembly, both as a whole and of the separate elements.

## Claims

### Claim 1

A method for drill string assembly as a technical dynamic system of connected oscillators for drilling branched channels of small diameter, including an assembly of operating components of various natural frequency positioned in a dynamically disturbed zone of the loaded part of the drill string,
wherein
a drill string assembly (DSA) including oscillators positioned as coupled units, a drill bit, a bearing section of the mud motor, power sections of the mud motor, rigid and coiled tubing assemblies with viscoelastic mechanical properties and different natural frequencies, and an axial load control unit, is mounted on a test bench
conducting tests following modeled programs of possible emergency and emergency-free operation modes for an assembly as a whole and its individual components,
measuring amplitude, vibration speed and vibration acceleration for longitudinal, transverse and torsional vibration are measured for drilling each kind of bed rock, trends for cumulative wave motion are obtained for oscillators moving with collective group speed,
analyzing said obtained values are analyzed to determine areas of dynamic stability at the test bench, displacement amplitude, determining vibration speed and vibration acceleration trends for longitudinal, transverse and torsional oscillations during test bench drilling,
conducting spectral analysis of the results, obtained by calculating of the spectral density of the operating components within the assembly; obtaining operating components trajectories for dynamic disturbance zone of the DSA in the phase plane,
determining the length of dynamically disturbed zone of the loaded part of a drill string based on the group velocity of the energy propagation for the monochromatic longitudinal, transverse and torsional waves batch, where waves differ in phase and frequency and propagate along the string with prevailing natural frequencies, different phase velocities at linear and nonlinear, stochastic oscillations that appear in the drill string due to running out of the formed “dynamic stability points”,
additionally, placing an axial thrust control unit in the “dynamic stability points”, adapted to operate at various damping ratios, with its prevailing natural frequency obtained based on statistical processing of the spectral density values and phase trajectories,
selecting the required mode of operation for the assembly and its operation characteristics: natural frequencies considering different bending and torsional rigidity values, damping properties of the axial load control units and their optimum placement.

### Claim 2 (depends on 1)

The method of claim 1, which includes calculating of the group velocity as a mathematical expectation of the obtained phase velocity values, with the weighing factor being the probability of the rate of registration of such values while the assembly is tested on the bench, and the mean value of the corresponding velocity as a random variable being equal to the sum of products of the random value and the probability of its occurrence, divided by their number.

### Claim 3 (depends on 1)

The method of claim 1, which includes calculating of the group velocity as a geometric mean of the phase velocities of the longitudinal, transverse and torsional vibrations measured at the bench.

### Claim 4 (depends on 1)

The method of claim 1, which includes calculating of the group velocity as an arithmetic mean, for a small difference in disturbing frequencies or for ungrouped data.

### Claim 5 (depends on 1)

The method of claim 1, which includes the test bench equipped with amplitude, vibration speed and vibration acceleration gauges for longitudinal, transverse and torsional vibrations of the assemblies when drilling rocks of various strength selected from the following: lime, dolomite, granite, marble or lime-cement block made according to API 19B.