Research Papers: Petroleum Engineering

Discrete Vibration Stability Analysis With Hydromechanical Specific Energy

[+] Author and Article Information
Ankit A. Mirani

Petroleum Engineering,
Well Engineering Research Center for
Intelligent Automation (WeRcia),
University of Houston,
Houston, TX 77004
e-mail: miraniankit09@gmail.com

Robello Samuel

Houston, TX 77072
e-mail: robello.samuel@halliburton.com

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received December 12, 2016; final manuscript received June 1, 2017; published online October 4, 2017. Editor: Hameed Metghalchi.

J. Energy Resour. Technol 140(3), 032904 (Oct 04, 2017) (8 pages) Paper No: JERT-16-1501; doi: 10.1115/1.4037899 History: Received December 12, 2016; Revised June 01, 2017

Drill-bit vibrations and bit wear have been identified as the two major causes for premature polycrystalline diamond-compact (PDC) bit failure and difficulty in accurately predicting PDC bit performance. The objective of this paper is to present a new approach to drilling optimization by developing an algorithm that defines and generates a constrained stable rotary speed (RPM)–weight-on-bit (WOB) working domain for a given system as opposed to the traditional RPM–WOB charts. The algorithm integrates the dynamic-stability model for bit vibrations with the bit-performance model for degraded bits. This study addresses the issues of dynamic-bit stability under torsional and lateral vibrations coupled with bit wear. The approach presented in this paper involves performing two separate analyses: vibration stability and bit-wear performance analysis. The optimum operating conditions are estimated at each depth of the drilling interval, taking into consideration the effect of bit wear and bit vibrations. Because the bit wears continuously while penetrating the rocks, discretization of depth is necessary for effective simulation. Discretization is done by dividing the drilling interval into subintervals of the desired length. Vibration-stability analysis and bit-wear performance analysis are preformed separately at every subinterval and then integrated over the discrete interval. For every subinterval, a WOB–RPM domain is determined within which the given system is dynamically stable (for vibrations), and the bit wear does not exceed the maximum allowable wear (MAW) for the section of the drilling interval selected. A unique concept to relate the fractional change in hydromechanical specific energy (HMSE) to the fractional change in bit wear has also been put forward that further constraints the WOB–RPM stable working domain. The new coupled vibration-stability chart, including the maximum rate of penetration (ROP), narrows down the conventional chart and provides different regions of operational stability. It has also been found that as the compressive strength of the rock increases, the bit-gauge friction factor also increases, which results in a compressed or reduced allowable working domain, both from the vibration-stability analysis and bit-performance analysis. Simple guidelines have been provided using the new stability domain chart to estimate the operating range for real-time optimization.

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Fig. 2

RPM–WOB stability chart for torsional vibrations with base-case parameters, as shown in Table 1

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Fig. 3

RPM–WOB stability chart for lateral vibrations with base-case parameters, as shown in Table 1

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Fig. 1

Schematic representation of corresponding mechanical models for bit vibrations: (a) torsional model, (b) lateral model, and (c) coupled torsional–lateral model

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Fig. 12

Influence of bit-gauge friction factor on allowable working domain

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Fig. 13

Influence of bottomhole assembly length on allowable working domain

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Fig. 10

ROP optimization chart for depth = 7014 ft and rock compressive strength = 20,119 psi

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Fig. 9

Figure showing optimized ROP variation with depth (simulation results for a base-case parameter given in Table 1)

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Fig. 11

ROP optimization chart for depth = 8000 ft and rock compressive strength = 7894 psi

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Fig. 4

RPM–WOB chart for bit-wear performance analysis with base-case parameters, as shown in Table 1

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Fig. 5

Coupled RPM–WOB stability chart for ROP optimization for base-case parameters, as shown in Table 1

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Fig. 6

Actual variation of ROP with WOB and RPM based on field-data results

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Fig. 7

Fractional change in bit wear and fractional change in HMSE with WOB at a value of N = 100 rpm

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Fig. 8

Modified stability chart (Mirani–Samuel stability plot) or ROP optimization chart

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Fig. 14

An ideal PDC bit showing R, δ, δo, and Δ



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