<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">JMMCE</journal-id><journal-title-group><journal-title>Journal of Minerals and Materials Characterization and Engineering</journal-title></journal-title-group><issn pub-type="epub">2327-4077</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jmmce.2015.31005</article-id><article-id pub-id-type="publisher-id">JMMCE-53196</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject><subject> Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Daqing Oilfield Liquid Phase Underbalanced Drilling Improving Drilling Speed Evaluation Method
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>hibin</surname><given-names>Li</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Penghao</surname><given-names>Wang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ligang</surname><given-names>Zhang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Oil and Gas Well Engineering, College of Petroleum Engineering, Northeast Petroleum University, Daqing, China</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>wph616@126.com(PW)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>26</day><month>12</month><year>2014</year></pub-date><volume>03</volume><issue>01</issue><fpage>37</fpage><lpage>40</lpage><history><date date-type="received"><day>13</day>	<month>November</month>	<year>2014</year></date><date date-type="rev-recd"><day>accepted</day>	<month>8</month>	<year>December</year>	</date><date date-type="accepted"><day>14</day>	<month>January</month>	<year>2015</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Factors affecting the drilling speed are very complex, such as formation factor (layers lithology, depth, porosity and reservoir pressure), fluid density, drilling parameters (bit pressure and speed), drill types, etc. Although liquid phase underbalanced drilling technology is to increase the penetration rate and shorten the drilling cycle, there is no evaluation model currently, so we cannot evaluate which factors can have a greater impact on speed. Based on the establishment of equivalent density and improvement of ROP (Rate of Penetration) calculation model, this paper is about the application of underbalanced drilling technology to improve drilling speed multiple sizes.
 
</p></abstract><kwd-group><kwd>Liquid Phase under Balanced Drilling</kwd><kwd> Evaluation</kwd><kwd> Improving Drilling Speed</kwd><kwd> Multiple</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Compared with conventional drilling technology, underbalanced drilling technology can improve ROP significantly. However, there are no quantitative methods of evaluating how much ROP the application of a certain kind of underbalanced drilling technology can improve. ROP factors include formation factor (layers lithology, depth, porosity and reservoir pressure), fluid density [<xref ref-type="bibr" rid="scirp.53196-ref1">1</xref>] , drilling parameters (bit pressure and speed), drill types [<xref ref-type="bibr" rid="scirp.53196-ref2">2</xref>] , etc. Evaluation model can be established by analyzing UBD (Underbalanced Drilling) ROP increased by exploring underbalanced drilling technology and the parameters of conventional drilling technology changes, so as to realize UBD improving ROP [<xref ref-type="bibr" rid="scirp.53196-ref3">3</xref>] , and furthermore, to provide quantitative data for the early evaluation of adaptation UBD.</p></sec><sec id="s2"><title>2. ROP Equation Preferred</title><p>Frequently-used ROP model mainly includes corrected Young ROP equation [<xref ref-type="bibr" rid="scirp.53196-ref4">4</xref>] , Moller drilling rate equation, Amoco drilling rate equation, Bingham drilling rate equation, multiple drilling rate equation, etc. One type of these equations is determined by laboratory rock drill and a full-size bench test to establish the drilling rate equation, but it cannot realistically simulate the actual situation in the field, and has little applicability for the prediction of ROP. Another drilling rate equation, whether it is a binary or diverse, is based on site drilling rate, which is restricted to be applicable in a particular area or similar geological conditions, without universal applicability.</p><p>Domestic drilling rate calculation equation has been established since the 1960s, by combining the two types of calculation method, doing large-scale and systemic experiments in the laboratory on rock drill, obtaining stratified statistics of drillability pole value of different geological ages, regressing according to a combination of cross-sectional area of the drilling depth of compaction law correction, we can establish a macro-gradient formula which can be used to drill in the area. Then apply the logging data, correct the experiment established ROP, analyze all the factors affecting the penetration rate of the drill, which include press, speed, bit type, hydraulic parameters, drilling performance and other aspects [<xref ref-type="bibr" rid="scirp.53196-ref5">5</xref>] . And establish drillability to form a common drilling rate equation. The equation has broad applicability, the error rate of which is less than 10% compared with the actual drilling.</p><p>Universal drilling rate equation [<xref ref-type="bibr" rid="scirp.53196-ref6">6</xref>] :</p><disp-formula id="scirp.53196-formula1075"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x5.png"  xlink:type="simple"/></disp-formula><p>Symbol description:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x6.png" xlink:type="simple"/></inline-formula>: Rate of penetration, m/h;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x7.png" xlink:type="simple"/></inline-formula>: Than the weight on bit, t/in;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x8.png" xlink:type="simple"/></inline-formula>: Speed, r/min;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x9.png" xlink:type="simple"/></inline-formula>: Than water power, kw/cm<sup>2</sup>;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x10.png" xlink:type="simple"/></inline-formula>: Index weight on bit;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x11.png" xlink:type="simple"/></inline-formula>: Index of the revolution;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x12.png" xlink:type="simple"/></inline-formula>: Formation water index;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x13.png" xlink:type="simple"/></inline-formula>: Drilling fluid density coefficient;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x14.png" xlink:type="simple"/></inline-formula>: Coefficient of formation drillability.</p><p>1) Then (than) bit pressure is calculated as:</p><disp-formula id="scirp.53196-formula1076"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x15.png"  xlink:type="simple"/></disp-formula><p>Symbol description:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x16.png" xlink:type="simple"/></inline-formula>: Bit pressure, kN;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x17.png" xlink:type="simple"/></inline-formula>: The bit diameter, cm.</p><p>2) Drill bit computing power than water formula:</p><disp-formula id="scirp.53196-formula1077"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x18.png"  xlink:type="simple"/></disp-formula><p>Symbol description:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x19.png" xlink:type="simple"/></inline-formula>: Bit of water power: kw/cm<sup>2</sup>.</p><p>3) Drill water power calculation formula:</p><disp-formula id="scirp.53196-formula1078"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x20.png"  xlink:type="simple"/></disp-formula><p>Symbol description:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x21.png" xlink:type="simple"/></inline-formula>: Drilling fluid density, g/cm<sup>3</sup>;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x22.png" xlink:type="simple"/></inline-formula>: Mud displacement, L/s;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x23.png" xlink:type="simple"/></inline-formula>: Nozzle flow coefficient (a fixed constant);</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x24.png" xlink:type="simple"/></inline-formula>: The equivalent nozzle area, m<sup>2</sup>.</p><p>4) Equation (4) into (3) to obtain:</p><disp-formula id="scirp.53196-formula1079"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x25.png"  xlink:type="simple"/></disp-formula></sec><sec id="s3"><title>3. Establish the Effect of Liquid Underbalanced Drilling Speed Evaluation Methods</title><p>The common equation used to calculate the liquid underbalanced drilling speed, if <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x26.png" xlink:type="simple"/></inline-formula> is used to represent underbalanced drilling penetration rate, you can Equation (1) transform as follows:</p><disp-formula id="scirp.53196-formula1080"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x27.png"  xlink:type="simple"/></disp-formula><p>Symbol description:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x28.png" xlink:type="simple"/></inline-formula>: Under the underbalance of penetration, m/h;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x29.png" xlink:type="simple"/></inline-formula>: Underbalanced conditions than bit pressure, t/in;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x30.png" xlink:type="simple"/></inline-formula>: Speed, r/min;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x31.png" xlink:type="simple"/></inline-formula>: Underbalanced than water power, kw/cm<sup>2</sup>.</p><p>When underbalanced than water power [<xref ref-type="bibr" rid="scirp.53196-ref7">7</xref>] :</p><disp-formula id="scirp.53196-formula1081"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x32.png"  xlink:type="simple"/></disp-formula><p>Symbol description:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x33.png" xlink:type="simple"/></inline-formula>: Underbalance drilling the actual mud density required, g/cm<sup>3</sup>;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x34.png" xlink:type="simple"/></inline-formula>: Underbalanced mud displacement, L/s.</p><p>Evaluation of the effect of underbalanced drilling speed can be balanced drilling conditions due to changes in the parameters of the liquid through discussion deduced speed factor formula [<xref ref-type="bibr" rid="scirp.53196-ref8">8</xref>] .</p><p>Set speed multiples, the speed factor is calculated as:</p><disp-formula id="scirp.53196-formula1082"><label>(8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x35.png"  xlink:type="simple"/></disp-formula><p>Daqing oilfield eastern changyuan carried out in recent years, dozens of wells in liquid underbalanced drilling, drill press, speed, drilling fluid displacement [<xref ref-type="bibr" rid="scirp.53196-ref9">9</xref>] , borehole size, the corresponding section of rock wells can be drilled and used drill type are the same as compared to conventional drilling.</p><p>Therefore, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x36.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x37.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x38.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.53196-ref10">10</xref>] and therefore Equations (1) (6) into (8) can be calculated as a multiple of the speed obtained:</p><disp-formula id="scirp.53196-formula1083"><label>(9)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x39.png"  xlink:type="simple"/></disp-formula><p>The (5) (7) into Equation (9), a multiple speed final formula is obtained:</p><disp-formula id="scirp.53196-formula1084"><label>(10)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-2710274x40.png"  xlink:type="simple"/></disp-formula><p>Before drilling, through knowing formation of designs can be drilled hole section coefficient K<sub>d</sub>, conventional drilling fluid density adjacent wells and underbalanced drilling fluid density design, and applying Formula (10) can calculate speed multiple theory. Effect evaluation of accelerating was carried out by selecting 8 underbalanced wells, the concrete data were shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>As can be seen from <xref ref-type="table" rid="table1">Table 1</xref>, the errors of the calculation speed and the actual speed multiples, and in engi- neering practice such errors are acceptable.</p></sec><sec id="s4"><title>4. Conclusions</title><p>1) By comparing the actual drilling data validation, evaluation methods of underbalanced drilling speed in this</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> The eastern part of the refracture underbalanced well speed-up effect evaluation</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Well No.</th><th align="center" valign="middle" >Underbalance interval m</th><th align="center" valign="middle" >Underbalanced drilling fluid density g/cm<sup>3</sup></th><th align="center" valign="middle" >Adjoining well conventional drilling fluid density g/cm<sup>3</sup></th><th align="center" valign="middle" >Coefficient of formation drillability <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/5-2710274x41.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" >Calculate multiples r</th><th align="center" valign="middle" >Adjoining well conventional actual drilling rate of penetration m/h</th><th align="center" valign="middle" >Under-balanced drilling the actual rate of penetration m/h</th><th align="center" valign="middle" >The actual ratio</th><th align="center" valign="middle" >Calculate multiples ratio and the actual error rate</th></tr></thead><tr><td align="center" valign="middle" >SongShen101#</td><td align="center" valign="middle" >2974 - 3480</td><td align="center" valign="middle" >0.92</td><td align="center" valign="middle" >1.15</td><td align="center" valign="middle" >5.24</td><td align="center" valign="middle" >1.77</td><td align="center" valign="middle" >1.16</td><td align="center" valign="middle" >2.27</td><td align="center" valign="middle" >1.95</td><td align="center" valign="middle" >9.2%</td></tr><tr><td align="center" valign="middle" >WeiShen5#</td><td align="center" valign="middle" >3087 - 3610</td><td align="center" valign="middle" >0.94</td><td align="center" valign="middle" >1.15</td><td align="center" valign="middle" >5.16</td><td align="center" valign="middle" >1.78</td><td align="center" valign="middle" >1.25</td><td align="center" valign="middle" >2.46</td><td align="center" valign="middle" >1.97</td><td align="center" valign="middle" >9.6%</td></tr><tr><td align="center" valign="middle" >WeiShen501#</td><td align="center" valign="middle" >3098 - 3457</td><td align="center" valign="middle" >0.92</td><td align="center" valign="middle" >1.15</td><td align="center" valign="middle" >5.67</td><td align="center" valign="middle" >1.76</td><td align="center" valign="middle" >1.33</td><td align="center" valign="middle" >2.60</td><td align="center" valign="middle" >1.95</td><td align="center" valign="middle" >9.7%</td></tr><tr><td align="center" valign="middle" >ZhaoShen11#</td><td align="center" valign="middle" >3170 - 3410</td><td align="center" valign="middle" >0,93</td><td align="center" valign="middle" >1.10</td><td align="center" valign="middle" >5.48</td><td align="center" valign="middle" >1.80</td><td align="center" valign="middle" >1.02</td><td align="center" valign="middle" >1.92</td><td align="center" valign="middle" >1.91</td><td align="center" valign="middle" >5.8%</td></tr><tr><td align="center" valign="middle" >XuShen1#</td><td align="center" valign="middle" >3187 - 3960</td><td align="center" valign="middle" >0.94</td><td align="center" valign="middle" >1.12</td><td align="center" valign="middle" >5.84</td><td align="center" valign="middle" >1.78</td><td align="center" valign="middle" >1.56</td><td align="center" valign="middle" >2.88</td><td align="center" valign="middle" >1.84</td><td align="center" valign="middle" >3.3%</td></tr><tr><td align="center" valign="middle" >XuShen3#</td><td align="center" valign="middle" >3625 - 4763</td><td align="center" valign="middle" >0.92</td><td align="center" valign="middle" >1.10</td><td align="center" valign="middle" >6.23</td><td align="center" valign="middle" >1.81</td><td align="center" valign="middle" >1.14</td><td align="center" valign="middle" >1.95</td><td align="center" valign="middle" >1.71</td><td align="center" valign="middle" >5.9%</td></tr><tr><td align="center" valign="middle" >XuShen5#</td><td align="center" valign="middle" >3338 - 4057</td><td align="center" valign="middle" >0.92</td><td align="center" valign="middle" >1.15</td><td align="center" valign="middle" >5.89</td><td align="center" valign="middle" >1.77</td><td align="center" valign="middle" >1.04</td><td align="center" valign="middle" >1.88</td><td align="center" valign="middle" >1.82</td><td align="center" valign="middle" >2.7%</td></tr></tbody></table></table-wrap><p>paper can be used in underbalanced drilling east of Daqing Changyuan, and the accuracy of speed is relatively high;</p><p>2) For the wells to use liquid underbalanced drilling technology, we can use underbalanced speed theoretical models and evaluation methods for pre-underbalanced drilling technology. We can calculate the speed factor theory, and calculate the application of underbalanced drilling technology to shorten the drilling cycle and the resulting economic profits, quantitatively evaluating the speeding effects of underbalanced drilling technology.</p></sec><sec id="s5"><title>Funding</title><p>The national natural science foundation of China “based on stress-seepage-much damage field coupling of reservoir and fracture mechanism of water filter research (51274069)”.</p></sec></body><back><ref-list><title>References</title><ref id="scirp.53196-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Qu, Y.Z., Sun, J.S. and Su, Y.N. (2006) Rapid Advances in Drilling Fluid Technology. Journal of Drilling Fluid and Completion Fluid, 23, 68-70.</mixed-citation></ref><ref id="scirp.53196-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Sugden, S. 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