2 Assessing the greenhouse impact of natural gas 3 L.M.Cathles,June6,2012 4 Abstract 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Theglobalwarmingimpactofsubstitutingnaturalgasforcoalandoiliscurrentlyin debate.Weaddressthisquestionherebycomparingthereductionofgreenhousewarming thatwouldresultfromsubstitutinggasforcoalandsomeoiltothereductionwhichcould beachievedbyinsteadsubstitutingzerocarbonenergysources.Weshowthatsubstitution ofnaturalgasreducesglobalwarmingby40%ofthatwhichcouldbeattainedbythe substitutionofzerocarbonenergysources.Atmethaneleakageratesthatare~1%of production,whichissimilartotoday’sprobableleakagerateof~1.5%ofproduction,the 40%benefitisrealizedasgassubstitutionoccurs.Forshorttransitionstheleakagerate mustbemorethan10to15%ofproductionforgassubstitutionnottoreducewarming, andforlongertransitionstheleakagemustbemuchgreater.Buteveniftheleakagewasso highthatthesubstitutionwasnotofimmediatebenefit,the40%‐of‐zero‐carbonbenefit wouldberealizedshortlyaftermethaneemissionsceasedbecausemethaneisremoved quicklyformtheatmospherewhereasCO2isnot.Thebenefitsofsubstitutionare unaffectedbyheatexchangetotheocean.CO2emissionsarethekeytoanthropogenic climatechange,andsubstitutinggasreducesthemby40%ofthatpossiblebyconversionto zerocarbonenergysources.Gassubstitutionalsoreducestherateatwhichzerocarbon energysourcesmustbeeventuallyintroduced. 22 Introduction 23 Inarecentcontroversialpaper,Howarthetal.(2011)suggestedthat,becausemethaneisa 24 farmorepotentgreenhousegasthancarbondioxide,theleakageofnaturalgasmakesits 25 greenhouseforcingasbadandpossiblytwiceasbadascoal,andtheyconcludedthatthis 26 underminesthepotentialbenefitofnaturalgasasatransitionfueltolowcarbonenergy 27 sources.Others(Hayhoeetal.,2009;Wigley,2011)havepointedoutthatthewarming 28 causedbyreducedSO2emissionsascoalelectricalfacilitiesareretiredwillcompromise 29 someofthebenefitsoftheCO2reduction.Wigley(2011)hassuggestedthatbecausethe 30 impactofgassubstitutionforcoalonglobaltemperaturesissmallandtherewouldbe 1 31 somewarmingasSO2emissionsarereduced,thedecisionoffueluseshouldbebasedon 32 resourceavailabilityandeconomics,notgreenhousegasconsiderations. 33 Someofthesesuggestionshavebeenchallenged.ForexampleCathlesetal.(2012)have 34 takenissuewithHowarthetal.forcomparinggasandcoalintermsoftheheatcontentof 35 thefuelsratherthantheirelectricitygeneratingcapacity(coalisusedonlytogenerate 36 electricity),forexaggeratingthemethaneleakagebyafactorof3.6,andforusingan 37 inappropriatelyshort(20year)globalwarmingpotentialfactor(GWP).Neverthelessit 38 remainsdifficulttoseeinthepublishedliteraturepreciselywhatbenefitmightberealized 39 bysubstitutinggasforcoalandtheuseofmetricssuchasGWPfactorsseemstocomplicate 40 ratherthansimplifytheanalysis.Thispaperseekstoremedythesedeficienciesby 41 comparingthebenefitsofnaturalgassubstitutiontothoseofimmediatelysubstituting 42 low‐carbonenergysources.Thecomparativeanalysisgoesbacktothefundamental 43 equationanddoesnotusesimplifiedGWPmetrics.Becauseitisanullanalysisitavoids 44 thecomplicationsofSO2,carbonblack,andthecomplexitiesofCO2removalfromthe 45 atmosphere.Itshowsthatthesubstitutionofnaturalgasforcoalandsomeoilwould 46 realize~40%ofthegreenhousebenefitsthatcouldbehadbyreplacingfossilfuelswith 47 lowcarbonenergysourcessuchaswind,solar,andnuclear.Inthelongtermthisgas 48 substitutionbenefitdoesnotdependonthespeedofthetransitionorthemethaneleakage 49 rate.Ifthetransitionisfaster,greenhousewarmingisless.Iftheleakageisless,the 50 reductionofwarmingduringthesubstitutionperiodisgreater,butregardlessoftherateof 51 leakageorthespeedofsubstitution,naturalgasachieves~40%ofthebenefitsoflow 52 carbonenergysubstitutionafewdecadesaftermethaneemissionsassociatedwithgas 53 productioncease.Thebenefitofnaturalgassubstitutionisadirectresultofthedecrease 54 inCO2emissionsitcauses. 55 ThecalculationmethodsusedherefollowWigley(2011),butarecomputedusing 56 programsofourowndesignfromtheequationsandparametersgivenbelow.Parameters 57 aredefinedthatconvertscenariosfortheyearlyconsumptionofthefossilfuelstothe 58 yearlyproductionofCO2andCH4.Thesegreenhousegasesarethenintroducedintothe 59 atmosphereandremovedusingacceptedequations.Radiativeforcingsarecalculatedfor 60 thevolumetricgasconcentrationsastheyincrease,theequilibriumglobaltemperature 2 61 changeiscomputedbymultiplyingthesumoftheseforcingsbytheequilibriumsensitivity 62 factorcurrentlyfavoredbytheIPCC,andtheincrementsofequilibriumtemperature 63 changeareconvertedtotransienttemperaturechangesusingatwolayeroceanthermal 64 mixingmodel. 65 Emission Scenarios 66 GreenhousewarmingisdrivenbytheincreaseintheatmosphericlevelsofCO2,CH4and 67 othergreehousegasesthatresultfromtheburningoffossilfuels.Between1970and2002, 68 worldenergyconsumptionfromallsources(coal,gas,oil,nuclear,hydroandrenewables) 69 increasedattherateof2.1%peryear.Intheyear2005sixandahalfbillionpeople 70 consumed~440EJ(EJ=exajoules=1018joules,1joule=1.055Btu;EIA,2011)ofenergy. 71 Oilandgassupplied110EJeach,coal165EJ,andothersources(hydro,nuclear,and 72 renewablessuchawindandsolar)55EJ(MiniCAMscenario,Clark,2007).In2100the 73 worldpopulationisprojectedtoplateauat~10.5billion.Iftheperpersonconsumption 74 thenisattoday’sEuropeanaverageof~7kWp‐1,globalenergyconsumptionin2100 75 wouldbe2300EJperyear(74TW).Westartwiththefuelconsumptionpatternat2005 76 ADandgrowitexponentiallysothatitreaches2300EJperyearattheendofa“transition” 77 period.Attheendofthetransitiontheenergyissuppliedalmostentirelybylowcarbon 78 sourcesinallcases,butinthefirsthalfofthetransition,whichwecallthegrowthperiod, 79 hydrocarbonconsumptioneitherincreasesonthecurrenttrajectory(the“business‐as‐ 80 usual”scenario),increasesatthesameequivalentratewithgassubstitutedforcoalandoil 81 (a“substitute‐gasscenario),ordeclinesimmediately(thelow‐carbon‐fastscenario).Coal 82 useisphasedoutatexactlythesamerateinthesubstitute‐gasandlow‐carbon‐fast 83 scenarios,sothatthereductionofSO2andcarbonblackemissionsisexactlythesamein 84 thesetwoscenariosandthereforisnotafactorwhenwecomparethereductionin 85 greenhousewarmingforthesubstitute‐gasandthelow‐carbon‐fastscenarios. 86 Figure1showsthethreefuelscenariosconsideredfora100yeartransition: 87 88 Infirsthalf(growthperiod)ofthebusiness‐as‐usualscenario(AinFigure1),fossil fuelconsumptionincreases2.9foldfrom440EJ/yrin2005to1265EJ/yroverthe 3 89 50yeargrowthperiod,andthendeclinesto205.6EJ/yrafterthefulltransition.The 90 mixofhydrocarbonsconsumedattheendofthetransitionproducesCO2emissions 91 atthesame4.13GtC/yrrateasattheendoftheotherscenarios.Thetotalenergy 92 consumptiongrowsat2.13%peryearinthegrowthperiod,andat1.2%overthe 93 declineperiod.Thegrowthperiodisashifted(tostartin2005),slightlysimplified, 94 exponentialversionoftheMiniCAMscenarioinClark(2007).Weincreasethe 95 hydrocarbonconsumptionbythesamefactorsasintheMiniCAMscenario,and 96 determinetherenewablegrowthbysubtractingthehydrocarbonenergy 97 consumptionfromthistotal.Thegrowth‐declinecombinationissimilartothebase 98 scenariousedbyWigley(2011). 99 Inthesubstitute‐gasscenario(BinFigure1),gasreplacescoalandnewoil 100 consumptionoverthegrowthperiod,andisreplacedbylowcarbonfuelsinthe 101 declineperiod.Gasreplacescoalonanequalelectricity‐generationbasis 102 (∆Hgas=∆HcoalRcoal/Rgas=234EJy‐1,seeTable1),andgasreplacesnewoil(165EJy‐1) 103 onanequalheatcontentbasis.Gasuseattheendofthegrowthperiodisthus729 104 EJy‐1,ratherthan330EJy‐1inthebusiness‐as‐usualscenario.Thegrowthof 105 renewableenergyconsumptionisgreaterthanin(A).Overtheensuingdecline 106 period,oilconsumptiondropsto75EJy‐1andgasto175EJy‐1. 107 Inthelow‐carbon‐fastscenario(CinFigure1),lowcarbonenergysourcesreplace 108 coal,newgas,andnewoiloverthegrowthperiod,andgasusegrowsandoiluse 109 decreasessothattheconsumptionattheendisthesameasinthesubstitute‐gas 110 scenario. 111 Thesescenariosareintendedtoprovideasimplebasisforassessingthebenefitsof 112 substitutinggasforcoal;theyareintendedtobeinstructiveandrealisticenoughtobe 113 relevanttofuturesocietaldecisions.Thequestiontheyposeis:Howfarwillsubstituting 114 gasforcoalandsomeoiltakeustowardthegreenhousebenefitsofanimmediateandrapid 115 conversiontolowcarbonenergysources. 4 2500 A. Business as Usual 2000 1500 165 1000 55 500 330 110 110 55.6 75 75 330 0 165 2500 EJ per year 2094.4 440 d erio P e clin e D B. Subst i ute Gas 2000 1500 1000 w Gro 500 riod 371 e P th 2050 729 175 165 0 2500 1500 75 2300 EJ C. Low Carbon Fast 2000 no C Coal Gas Oil 1265 EJ 2050 1000 990 440 EJ 500 0 0 175 75 75 100 years af er 2005 116 117 118 119 120 121 122 123 124 125 25 110 165 50 Figure1Threefuelconsumptionscenarioscomparedinthispaper:(A)Fossilfueluseinthebusiness‐as‐usual scenariocontinuesthepresentgrowthinfossilfuelconsumptionintheinitial50yeargrowthperiodbeforelow carbonenergysourcesreplacefossilfuelsinthedeclineperiod.(B)Inthesubstitute‐gasscenario,gasreplaces coalsuchthatthesameamountofelectricityisgenerated,andsubstitutesfornewoilonanequalheatenergy basis.(C)Inthelow‐carbon‐fastscenario,lowcarbonenergysourcesimmediatelysubstituteforcoalandnewoil andgasinthegrowthperiod,andgasusedeclinesandsubstitutesforoilinthedeclineperiod.Numbersindicate theconsumptionofthefuelsinEJperyearatthestart,midpoint,andendofthetransitionperiod.Thetotal energyuseisthesameinallscenariosandisindicatedatthestart,midpoint,andendbytheboldblacknumbers in(C). 5 126 127 Table1.Parametersusedinthecalculations.Iistheenergycontentofthefuel,Rtheefficiencyofconversionto electricity,andandthecarbonandmethaneemissionsfactors.Seetextfordiscussion. I[EJGt‐1] R[EJeEJ‐1] ξ[GtCEJ‐1] ζ[GtCH4EJ‐1] Gas 55 0.6 0.015 1.8x10‐4foraleakageof1%ofproduction Oil 43 0.020 0.32 0.027 1.2x10‐4for5m3/t Coal 29 128 129 Computation Method and Parameters 130 Table1summarizestheparametersusedinthecalculations.I[EJGt‐1],givestheheat 131 energyproducedwheneachfossilfuelisburnedinexajoules(1018joules)pergigaton(109 132 tons)ofthefuel.Thevaluesweusearefromhttp://www.natural‐ 133 gas.com.au/about/references.html.Theenergydensityofcoalvariesfrom25‐37GJ/t, 134 dependingontherankofthecoal,but29GJ/tisconsideredagoodaveragevaluefor 135 calculations. 136 R[EJeEJ‐1]istheefficiencywithwhichgasandcoalcanbeconvertedtoelectricityin 137 exajoulesofelectricalenergyperexajouleofheat.Gascangenerateelectricitywithmuch 138 greaterefficiencythancoalbecauseitcandriveagasturbinewhoseeffluentheatcanthen 139 beusedtodriveasteamgenerator.Lookingforward,olderlowefficiencycoalplantswill 140 likelybereplacedbyhigherefficiencycombinedcyclegasplantsofthiskind.Theelectrical 141 conversionefficienciesweadoptinTable1arethoseselectedbyHayhoeetal.(2002,their 142 TableII). 143 Thecarbonemissionfactorsingigatonsofcarbonreleasedtotheatmosphereperexajoule 144 ofcombustionheat,ξ[GtCEJ‐1],listedinthefourthcolumnofTable1arethefactors 145 compiledbytheEPA(2005)andusedbyWigley(2011). 146 Finally,themethaneemissionfactors,ζ[GtCH4EJ‐1]inthelastcolumnofTable1are 147 computedfromthefractionofmethanethatleaksduringtheproductionanddeliveryof 148 naturalgasandthevolumeofmethanethatisreleasedtotheatmosphereduringmining 149 andtransportofcoal: 6 150 gas [Gt CH4 EJ -1 ] L[Gt CH4-vented Gt -1CH4-burned ] I [EJ Gt -1CH4-burned ] 151 -1 -3 -1 coal [Gt CH4 EJ -1 ] V [m 3CH4 t coal - mined ] CH4 [t CH 4 m CH4 ] I [ EJ Gt coal-burned ] 152 Thedensityofmethanein(1b)CH4=0.71x10‐3tonsperm3.Wetreatthemethanevented 153 totheatmosphereduringtheproductionanddistributionofnaturalgas,L,parametrically 154 inourcalculations.Thenaturalgasleakage,L,isdefinedasthemassfractionofnaturalgas 155 thatisburned. 156 Weassumeinourcalculationsthat5m3ofmethaneisreleasedpertonofcoalmined.The 157 leakageofmethaneduringcoalmininghasbeenreviewedindetailbyHowarthetal. 158 (2011)andWigley(2011).Combiningleakagesfromsurfaceanddeepmininginthe 159 proportionsthatcoalisextractedinthesetwoprocesses,theyarriveat6.26m3/tand4.88 160 m3/trespectively.Thevalueweuseliesbetweenthesetwoestimates,andappearstobea 161 reasonableestimate(e.g.,seeSaghafietal.,1997),althoughsomehaveestimatedmuch 162 highervalues(e.g,Hayhoeetal.,2002,suggest~23m3/t). 163 TheyearlydischargeofCO2(measuredintonsofcarbon)andCH4totheatmosphere, 164 QC[GtCy‐1]andQCH4[GtCH4y‐1],arerelatedtotheheatproducedinburningthefuels,H[EJy‐ 165 1]inFigure1: 166 QC [Gt C y -1 ] H [EJ y -1 ] [Gt C EJ -1 ] (2a) 167 QCH 4 [Gt C y -1 ] H [ EJ y -1 ] [Gt CH4 EJ -1 ] (2b) (1a) . (1b) 168 169 170 ThevolumefractionsofCO2andCH4addedtotheatmosphereinyeartiby(1)are: X CO 2 t i [ ppmv y 1 ] X CH 4 t i [ ppbv y 1 ] WCO 2 Wair VCO 2 WC WCO 2 Vair M atm t QC [Gt C y -1 ]1015 QCH 4 [Gt CH4 y -1 ]1018 M atm t Wair VCH 4 WCH 4 Vair 7 . (3a) (3b) 171 HereMatm[t]=5.3x1015tonsisthemassoftheatmosphere,WCO2isthemolecularweightof 172 CO2(44g/mole),andVCO2isthemolarvolumeofCO2,etc.In(2a)thefirstmolecularweight 173 ratioconvertstheyearlymassadditionofcarbontotheyearlymassadditionofCO2,and 174 thesecondmassfractionratioconvertsthistothevolumefractionofCO2inthe 175 atmosphere.WeassumethegasesareidealandthusVCO2=Vair. 176 Eachyearlyinputofcarbondioxideandmethaneisassumedtodecaywithtimeasfollows: 177 178 X CO 2 t i t X CO 2 t i f CO 2 t f CO 2 t 0.217 0.259 e t 172.9 0.338 e X CH 4 t i t X CH 4 t i f CH 4 t f CH 4 t e t , t 18.51 0.186 e t (4a) 1.186 (4b) 12 179 wheretistimeinyearsaftertheinputofayearlyincrementofgasatti.Thesedecayrates 180 arethoseassumedbytheIPCC(2007,Table2.14).The12yeardecaytimeformethanein 181 (4b)isaperturbationlifetimethattakesintoaccountchemicalreactionsthatincrease 182 methane’slifetimeaccordingtotheIPCC(2007,§2.10.3.1).ThedecayofCO2describedby 183 (4a)doesnotaccountforchangeswithtimeinthecarbonate‐bicarbonateequilibrium 184 (suchasdecreasingCO2solubilityasthetemperatureoftheoceansurfacewaters 185 increases)whichbecomeimportantathigherconcentrationsofatmosphericCO2(seeNRC, 186 2011;Ebyetal.,2009).Equation(4a)thusprobablyunderstatestheamountofCO2that 187 willberetainedintheatmospherewhenwarminghasbecomesubstantial. 188 Theconcentrationofcarbondioxideandmethaneintheatmosphereasafunctionoftimeis 189 computedbysummingtheadditionseachyearandthedecayedcontributionsfromthe 190 additionsinpreviousyears: i 1 X CO 2 t i X CO 2 t i X CO 2 t j f CO 2 t i t j j 1 191 i 1 X CH 4 t i X CH 4 t i X CH 4 t j f CH 4 t i t j , j 1 8 (5) 192 where X CO2 ti and X CH 4 t i arevolumetricconcentrationofCO2andCH4inppmvandppbv 193 respectively,irunsfrom1tottotwherettotisthedurationofthetransitioninyears,andthe 194 sumtermsontherighthandsidesdoesnotcontributeunlessi≥2. 195 Theradiativeforcingsforcarbondioxideandmethane,∆FCO2[Wm‐2]and∆FCO2[Wm‐2]are 196 computedusingthefollowingformulaegivenintheIPCC(2001,§6.3.5): FCO 2 W m 2 5.35 ln 197 X CO 2 ti X CO 2 t 0 X CO 2 t 0 FCH 4 W m 2 0.036 CH 4 X CH 4 ti X CH 4 0 X CH 4 0 f X CH 4 ti X CH 4 0 , N o f X CH 4 0 , N o f M , N 0.47 ln 1 2.01 10 5 MN 5.31 MN 15 M NM 5 1.52 (6) 198 Westartourcalculationswiththeatmosphericconditionsin2005:XCO2[t=0]=379ppmv, 199 XCH4[t=0]=1774ppbv,andtheN2Oconcentration,No=319ppbv.ψCH4isafactorthat 200 magnifiesthedirectforcingofCH4totakeintoaccounttheindirectinteractionscausedby 201 increasesinatmosphericmethane.TheIPCC(2007)suggeststheseindirectinteractions 202 increasethedirectforcingfirstby15%andthenbyanadditional25%,withtheresultthat 203 ψCH4=1.43.Shindelletal.(2009)havesuggestedadditionalindirectinteractionswhich 204 increaseψCH4to~1.94.ThereiscontinuingdiscussionofthevalidityofShindelletal.’s 205 suggestedadditionalincrease(seeHultmanetal.,2011).WegenerallyuseψCH4=1.43in 206 ourcalculations,butconsidertheimpactofψCH4to~1.94whereitcouldbeimportant. 207 Theradiativeforcingofthegreenhousegasadditionsin(6)drivesglobaltemperature 208 change.Theultimatechangeinglobaltemperaturetheycauseis: 209 T equil TCO 2 TCH 4 S1 FCO 2 FCH 4 , 210 where S1 istheequilibriumclimatesensitivity.WeadopttheIPCC,2007value S1 0.8 , 211 whichisequivalenttoassumingthatadoublingofatmosphericCO2[ppmv]causesa3°C 212 globaltemperatureincrease. 213 Theheatcapacityoftheoceandelaysthesurfacetemperatureresponsetogreenhouse 214 forcing.Assuming,followingSolomonetal(2011),atwolayeroceanwherethemixed 215 layerisinthermalequilibriumwiththeatmosphere: 9 (7) 216 Tmix equil s Tmix Tmix Tmix Tdeep t . Tmix C deep Tmix Tdeep t C mix (8) 217 Hereistheheattransfercoefficientfortheflowofheatfromthemixedlayerintothedeep 218 layerinWK‐1m‐2,andsistheheattransfercoefficientintothemixedlayerfromthe 219 atmosphere(andtheinverseoftheequilibriumclimatesensitivity).CmixandCdeeparethe 220 heatstoragecapacitiesperunitsurfaceareaofthemixedanddeeplayersinJK‐1m‐2. 221 equil equil Tmix Tmix Tdeep , t t mix ,and mix C mix s 1 ,wecan Defining Tmix Tmix , Tdeep 222 write: 223 t 224 Fortheimpositionofasuddenincreaseingreenhouseforcingthatwillultimatelyproduce 225 equil asdescribedby(7),thesolutionto(8)is: anequilibriumtemperaturechangeof Tmix 226 equil Tmix Tmix 1 a exp t e 1 1 a exp t e 1 . m mix d mix 227 Hereemandedarethemagnitudesoftheeigenvaluesofthematrixin(9),andthe 228 coefficient,a,isdeterminedbytheinitialconditionthatthelayersarenotthermally 229 perturbedbeforetheincrementofgreenhouseforcingisimposed. 230 Insightisprovidedbynotingthattheeigenvaluesandparameterain(10)arefunctionsof 231 1 theratiosofheattransferandheatstorageparameters s 1 and C deep C mix only,andcanbe 232 approximatedtowithin±10%: s 1 1 Tmix T 1 C C 1 deep s mix deep Tmix . 1 T s 1 C mix C deep deep s 1 (9) (10) a 0.483 0.344 1 s 1 , 0.2 s 1 1 233 em1 1 ed1 1 1 s 1 2C deep C mix . 1 0.7 s 10 (11) 234 Itisunlikelythatthatheatwillbetransferredoutthebaseofthemixedlayermore 235 efficientlythanitisintothetopofthemixedlayerbecausethetransferwillbemostly 236 drivenbywindsandcoolingoftheoceansurface.Forthisreasontheheattransfer 237 coefficientratio s 1 isalmostcertainly≤1andthereductionoftemperatureisgreatestfor 238 s 1 1 .For s 1 1 ,theinitialtemperaturechangeinthemixedlayerwillbeabouthalf 239 thechangethatwilloccurwhentheoceanlayersarefullywarmed,andtheresponsetime 240 requiredtoreachthisequilibriumchange(thetimerequiredtoreach2/3rdsofthe 241 1 equilibriumvalue)willbeabout½oftheresponsetimeofthemixedlayer(e.g., emix 1 ). 2 242 For s 1 1 ,theresponsetimeofthedeeplayeristwicetheheatstoragecapacityratio 243 1 mix . timestheresponsetimeofthemixedlayer: 2C deep C mix 244 Thetransienttemperaturechangecanbecomputedfromtheequilibriumtemperature 245 changein(7)byconvolvinginafashionsimilartowhatwasdonein(5): 246 i 1 t i t j t t j 1 a exp 1i , T t i T equil t j 1 a exp 1 j 1 e m mix ed mix (12) 247 wherei≥j.Wedonotusetheapproximationsofequation(11)whenwecarryoutthe 248 convolutionin(12).Ratherwesolvefortheactualvaluesoftheeigenvaluesand 249 parameterafromthematrixin(9)ateachyearlyincrementintemperaturechange.For 250 mix=5years,Tmixwillreach0.483Tmixequilwithadecaytimeof2.5yearsandriseto 251 Tmixequilwithadecaytimeof200years. 252 Thecurrentconsensusseemstobethat s 1 1 andthetransientthermalresponseis 253 abouthalfthefullequilibriumforcingvalue(NRC,2011,§3.3).Theratiooftheheatstorage 254 1 capacityofthedeeptomixedlayer, C deep C mix isprobablyatleast20,avalueadoptedby 255 Solomonetal.(2011).Schwartz(2007)estimatedthethermalresponsetimeofthemixed 256 layerat~5yearsfromthetemporalautocorrelationofseasurfacetemperatures.Thismay 257 bethebestestimateofthisparameter,butSchwartznotesthatestimatesrangefrom2to 258 30years.Fortunatelythemoderationoftemperaturechangebytheoceansdoesnot 11 259 impactthebenefitofsubstitutinggasforcoalandoilatall.Itisofinterestindefiningthe 260 coolingthatsubstitutionwouldproduce,however.Wecalculatethetransienttemperature 261 changesforthefullrangeofoceanmoderationparameters. 262 Equations(1)to(10)plus(12),togetherwiththeparametersjustdiscusseddefine 263 completelythemethodsweusetocalculatetheglobalwarmingcausedbythefueluse 264 scenariosinFigure1. 200 year transition Carbon Dioxide [ppmv] 500 A Concentration Change [ppmv carbon dioxide] Business as usual 434 ppmv 100 year transition 50 year transition Substitute gas 327 st Low carbon fa 190 258 194 154 115 66 113 0 0 100 Methane [ppbv] Concentration Change [ppbv methane] 500 428 ppbv 359 470 ppbv 404 368 397 108 200 115 Su bs tit Bu ute sin ga s es sa su su al st Low carbon fa B 120 0 0 200 time [years] since 2005 265 266 267 268 269 100 Figure2Changesin(A)carbondioxideand(B)methaneconcentrationscomputedforthethreefuelscenarios showninFigure1andthreedifferenttransitionintervals(50100and200years).Inthisandsubsequentfigures thebluecurvesindicatethebusiness‐as‐usualfuelusescenario,thegreencurvesindicatethesubstitute‐gas scenario,andtheredcurvesthelow‐carbon‐fastscenario.Thenumbersindicatethechangeinconcentrationsof 12 270 271 CO2andmethanefromthe379ppmvforCO2and1774ppbvforCH4levelspresentintheatmospherein2005. 272 Results 273 Figure2showstheadditionsofCO2inppmvandmethaneinppbvthatoccurforthe 274 differentfuelconsumptionscenariosshowinFigure1forthethreetransitionperiods(50, 275 100and200years).Themethaneleakageisassumedtobe1%ofconsumption.Fivecubic 276 metersofmethaneareassumedtoleaktotheatmosphereforeachtonofcoalmined.The 277 atmosphericmethaneconcentrationstrackthepatternofmethanereleasequiteclosely 278 becausemethaneisremovedquicklyfromtheatmospherewithanexponentiallydecay 279 constantof12years(equation4b).Ontheotherhand,becauseonlyaportionoftheCO2 280 introducedintotheatmospherebyfuelcombustionisremovedquickly(seeequation4a), 281 CO2accumulatesacrossthetransitionperiodsand,aswewillshowbelow,persistsfora 282 longtimethereafter. Radiative Forcing [W m-2] ThecalculationisbasedonL=1%ofgasconsumptionandV=5m3methanepertonofcoalburned. 5 business as usual Carbon Dioxide substitute gas 41% n low carbo 40% fast 42% Methane 0 0 200 time [years] 283 284 285 286 287 288 100 Figure3RadiativeforcingscalculatedforthecarbondioxideandmethaneadditionsshowninFigure2using equation(6)andassumingΨCH4=1.43.Thebluecurvesindicatethebusinessasusualscenarioforthe50,100 and200yeartransitionperiods,thegreenthesubstitute‐gasscenario,andtheredthelow‐carbon‐fastscenario. ThenumbersindicatethereductioninCO2forcingachievedbysubstitutinggas,expressedasapercentageofthe reductionachievedbythelow‐carbon‐fastscenario. 13 289 Figure3showstheradiativeforcingscorrespondingtotheatmosphericgasconcentrations 290 showninFigure2usingequation(6).ThemethaneforcingisafewpercentoftheCO2 291 forcing,andthusisunimportantindrivinggreenhousewarmingforagasleakagerateof 292 1%. 293 Figure4showstheglobalwarmingpredictedfromtheradiativeforcingsinFigure3for 294 variousdegreesofheatlosstotheocean.Wetaketheequilibriumclimatesensitivity s 1 = 295 0.8(e.g.,adoublingofCO2causesa3°Cofglobalwarming).Thefastertransitionsproduce 296 lessglobalwarmingbecausetheyputlessCO2intotheatmosphere.Thethermal 297 modulationoftheoceanscanreducethewarmingbyuptoafactoroftwo.Forexample, 298 Figure4Ashowstheglobalwarmingthatwouldresultfromthebusiness‐as‐usualscenario 299 iftherewerenoheatlossestotheoceanrangesfrom1.5°Cforthe50yeartransitionto 300 3.3°Cforthe200yeartransition.Figure4Cindicatesthatheatexchangetotheoceans 301 couldreducethiswarmingbyafactoroftwoforthelongtransitionsandthreeforthe50 302 yeartransition.Awarmingreductionthislargeisunlikelybecauseitassumesextreme 303 parametervalues:adeepoceanlayerwithaheatstorage50timestheshallowmixedlayer, 304 andalongmixingtimefortheshallowlayer(mix=50years).Figure4Bindicatesthemore 305 likelyoceantemperaturechangemoderationbasedonmid‐rangedeeplayerstorage 306 1 ( C deep C mix =20)andmixedlayerresponsetime(mix=5years)parametervalues. 307 Theimportantmessageofthisfigureforthepurposesofthispaper,however,isnotthe 308 amountofwarmingthatmightbeproducedbythevariousfuelscenariosofFigure1,but 309 theindicationthatthereductioningreenhousewarmingfromsubstitutinggasforcoaland 310 oilisnotsignificantlyaffectedbyheatexchangewiththeoceanorbythedurationofthe 311 transitionperiod.Thesamepercentreductioninglobalwarmingfromsubstitutinggasfor 312 coalandoilisrealizedregardlessofthedurationofthetransitionperiodorthedegreeof 313 thermalmoderationbytheocean.Thebenefitofsubstitutinggasisapercentorsolessfor 314 theshorttransitions,andtheoceanmoderationreducesthebenefitbyapercentorso,but 315 thebenefitinallcircumstancesremains~38%.Heatlossintotheoceansmayreducethe 316 warmingbyafactoroftwo,butthebenefitofsubstitutinggasisnotsignificantlyaffected. 14 317 4 1% gas leakage no ocean mixing 3 business as usual 3.3 C A. substitute gas 2.7 C 39% 2.3 C 2 n fast 1.8 C low carbo 38% 1 Temperature Change [C] 39% 1.5 C 0 3 Cd/Cm=20, mix=5 yrs B. 2.4 C 2.0 C 38% 2 1.4 C 1 37% 0 3 1.3 C 38% 0.8 C Cd/Cm=50, mix=50 yrs C. 2 1.7 C 1.4 C 38% 1.1 C 1 0.5 C 0.9 C 37% 36% 0 0 100 150 time [years] 318 319 320 321 322 323 324 325 326 327 50 200 Figure4.GlobalwarmingproducedbytheforcingsinFigure3computedusingequations(7,10,and12).The bluecurvesindicatetemperaturechangesunderthebusiness‐as‐usualscenariofor50,100and200year transitiondurations,andthegreenandredcurvesindicatethetemperaturechangesforthesubstitute‐gasand low‐carbon‐fastscenarios.Thecolorednumbersindicatethetemperaturechanges,andtheblacknumbersthe reductionintemperatureachievedbythesubstitute‐gasscenarioexpressedasafractionofthetemperature reductionachievedbythelow‐carbon‐fastscenario.(A)Thewarmingwhenthereisnothermalinteractionwith theocean(ortheoceanlayersthermallyequilibrateveryquickly).(B)Warmingunderalikelyoceaninteraction. (C)Warmingwithaveryhighoceanthermalinteraction.Theoceanmixingparametersareindicatedin(B)and (C).Allcalculationsassumegasleakageis1%ofconsumptionandtheIPCCmethaneclimatesensitivity. 15 328 Figure5comparesthemethaneforcingofthesubstitute‐gasscenariototheCO2forcingof 329 thebusiness‐as‐usualscenarioforthe50and100yeartransitiondurations.Theforcing 330 forthe1%methanecurvesarethesameasinFigure3,butiscontinuedoutto200years 331 assumingthefueluseremainsthesameasattheendoftheofthetransitionperiod. 332 Similarlythebusiness‐as‐usualcurveisthesameasinFigure3continuedoutto200years. 333 Thefigureshowsthatthemethaneforcingincreasesasthepercentmethaneleakage 334 increases,andbecomesequaltotheCO2forcinginthebusiness‐asusualscenariowhenthe 335 leakageis~15%ofconsumptionforthe50yeartransitionand30%ofconsumptionforthe 336 100yeartransition.Attheendofthetransitionthemethaneradiativeforcingsfalltothe 337 levelthatcanbesteadilymaintainedbytheconstantmethaneleakageassociatedwiththe 338 smallcontinuednaturalgasconsumption.TheCO2forcingunderthebusiness‐as‐usual 339 scenariofallabitandthenriseataslowsteadyrate,reflectingtheproscriptionthat26%of 340 theCO2releasedtotheatmosphereisonlyveryslowlyremovedand22%isnotremovedat 341 all(equation3a).ThisslowriseemphasizesthatevenverylowreleasesofCO2canbeof 342 concern.Themethaneintheatmospherewouldrapidlydisappearinafewdecadesifthe 343 methaneventingwerestopped,whereastheCO2curveswouldflattenbutnotdrop 344 significantly.Finally,Figure5Ashowsthatthegreatermethaneclimatesensitivity 345 proposedbyShindelletal(2009)(CH4=1.94)wouldmakea10%methaneventing 346 equivalenttoa15%ventingwithCH4=1.43(theIPCCmethaneclimatesensitivity). 16 A. 50 year transition 2.5 20% 2.0 Leakage rate [% of consumption] ss a Busine 15% 1.5 10% Substitute Gas 1.0 Radiative Forcing [W m-2] l s Usua 5% 0.5 1% 0 100 year transition 30% Business as Usual 25% 3.0 B. 20% 2.5 15% 2.0 10% Substitute Gas 1.5 5% 1.0 0.5 1% 0 0 50 time [years] 347 348 349 350 351 352 353 354 355 356 150 100 200 Figure5.RadiativeforcingsofCO2forthebusinessasusualscenario(bluecurves)andforCH4forvariousgas leakageratesinthesubstitute‐gasscenario(greencurves).The1%methanecurvesandthebusinessasusual curvesarethesameasinFigure3excepttheverticalscaleisexpandedandthecurvesareextendedfromtheend ofthetransitionto200yearsassumingthegasemissionsarethesameasattheendofthetransitionpast100 years.Themethaneforcingsplateauatthelevelscorrespondingtotheatmosphericconcentrationsupportedby thesteadyCH4emissions.TheCO2forcingincreasesbecauseanappreciablefractionoftheCO2emissionsare removedslowlyornotatallfromtheatmosphere.ThemethaneforcingsallassumetheIPCCmethaneclimate sensitivity(CH4=1.43)exceptthesingleredcurve,whichassumesthemethaneclimatesensitivitysuggestedby Shindelletal.(2009)(CH4=1.94). 17 Cd/Cm=20, mix=5 yrs C. 200 yr Transition 3.48 C B. 100yr Transition 2.05 C 35% Substit ute Ga s Busine Ca ss as U rrb sual on Fa st A. 50yr Transition 1% 20% 1.30 C -6% 15% Lo w 1.84 C 1.19 C 17% 5% -1% 2.69 C 10% 10% 39% 1.07 C Temperature Change [C] 21% 5% 40% 40% 0 0 0 0 50 0 100 time [years] 357 1.5 1% 0.96 C 1% 1% 1.60 C 1.5 1.5 0 200 358 359 360 361 362 363 Figure6.Impactofmethaneleakageonglobalwarmingfortransitionperiodsof(A)50,(B)100,and(C)200 364 Figures6illustrateshowthebenefitsofsubstitutinggasforcoalandoildisappearasthe 365 methaneleakageincreasesabove1%oftotalmethaneconsumption.Thefigureshowsthe 366 globalwarmingcalculatedfortheoceanheatexchangeshowinFigure4B.Asthemethane 367 leakageincreases,thegreensubstitute‐gasscenariocurvesrisetowardandthenexceedthe 368 bluebusiness‐as‐usualcurves,andthebenefitofsubstitutinggasdisappears.Thegas years.Astheleakagerate(greenpercentagenumbers)increase,thewarmingofthesubstitute‐gasscenario (greencurves)increases,thebluebusiness‐as‐usualandgreensubstitute‐gascurvesapproachoneanotherand thencross,andthepercentageofthewarmingreductionattainedbythefastsubstitutionoflowcarbonenergy sourcesdecreaseandthenbecomenegative.Thewarmingsassumethesameexchangewiththeoceanasin Figure4B. 18 369 leakageatwhichsubstitutinggasforoilandcoalwarmstheearthmorethanthebusiness‐ 370 as‐usualscenarioissmallest(L~10%)forthe50yeartransitionperiodandlargest 371 (L~35%)forthe200yeartransitionperiod. 372 Figure7summarizeshowthebenefitofgassubstitutiondependsonthegasleakagerate. 373 FortheIPCCmethaneclimatesensitivity(CH4=1.43),thebenefitofsubstitutinggasgoesto 374 zerowhenthegasleakageis44%ofconsumption(30%ofproduction)forthe200year 375 transition,24%ofconsumption(19%ofproduction)forthe100yeartransition,and13% 376 ofconsumption(12%orproduction)forthe50yeartransition.FortheShindelletal. 377 climatesensitivitycorrespondingtoCH4=1.94,thecrossoverforthe50yeartransition 378 occursatagasleakageof~9%ofconsumption,andreasonableoceanthermalmixing 379 reducesthisslightlyto~8%ofconsumption(7.4%ofproduction).Thislastis 380 approximatelythecross‐overdiscussedbyHowarthetal.(2011and2012).Intheirpapers 381 theysuggestamethaneleakagerateashighas8%ofproductionispossible,andtherefor 382 thatnaturalgascouldbeasbad(ifcomparedonthebasisofelectricitygeneration)ortwice 383 asbad(ifcomparedonaheatcontentbasis)ascoaloverashorttransitionperiod.As 384 discussedinthenextsection,aleakagerateashighas8%isdifficulttojustify.Figure7 385 thusshowsthesignificanceofShindell’shighermethaneclimatesensitivitytoHowarth’s 386 proposition.Withoutit,anevenlessplausiblemethaneleakagerateof13%wouldbe 387 requiredtomakegasasbadortwiceasbadascoalintheshortterm.Overthelongerterm, 388 substitutionofgasisbeneficialevenathighleakagerates‐apointcompletelymissedby 389 Howarthetal. 19 Benefit of Gas Substitution %Percent low‐C‐fast 50 1 to 2% leakage 40 30 20 10 0 0 5 10 15 Leakage [% of consumption] 390 391 392 393 394 395 396 397 398 Figure7.Thereductionofgreenhousewarmingattainedbysubstitutingnaturalgasforcoalandoil(substitute‐ 399 What is the gas leakage rate 400 Themostextensivesynthesesofdataonfugitivegasesassociatedwithunconventionalgas 401 recoveryisanindustryreporttotheEPAcommissionedbyTheDevonEnergyCorporation 402 (Harrison,2012).Itdocumentsgasleakageduringthecompletionof1578unconventional 403 (shalegasortightsand)gaswellsby8differentcompanieswithareasonable 404 representationacrossthemajorunconventionalgasdevelopmentregionsoftheU.S.Three 405 percentofthewellsinthestudyventedmethanetotheatmosphere.Ofthe1578 406 unconventional(shalegasortightsand)gaswellsintheDevonstudy,1475(93.5%)were 407 greencompleted‐thatistheywereconnectedtoapipelineinthepre‐initialproduction 408 stagesotherewasnoneedforthemtobeeitherventedorflared.Ofthe6.5%ofallwells 409 thatwerenotgreencompleted,54%wereflared.Thus3%ofthe1578wellsstudied 410 ventedmethaneintotheatmosphere. gasscenario),expressedasapercentageofthereductionattainedbyimmediatelysubstitutinglowcarbonfuels (low‐C‐fastscenario),plottedasafunctionofthegasleakagerate.Atleakagerateslessthan~1%,thebenefitof substitutingnaturalgasis>40%thatofimmediatelysubstitutinglowcarbonenergysources.Thebenefit declinesmorerapidlywithleakageforshorttransitions.ThetopthreecurvesassumeanIPCCmethaneclimate sensitivity(CH4=1.43).Thebottomtwoshowtheimpactofthegreatermethaneclimatesensitivitysuggestedby Shindelletal(2009)(CH4=1.94).Theoceanmixingcurveaddsthesmalladditionalimpactofthermalexchange withtheoceansattherateshowninFigure4BtotheCH4=1.94curveimmediatelyaboveit. 20 411 Thewellsthatventedmethanetotheatmospheredidsoattherateof765 412 Mcsf/completion.Themaximumgasthatcouldbeventedfromthenon‐greencompleted 413 wellswasestimatedbycalculatingthesonicventingratefromthechoke(orifice)sizeand 414 sourcegastemperatureofthewell,usingaformularecommendedbytheEPA.Sincemany 415 wellsmightventatsub‐sonicrates,whichwouldbeless,thisisanupperboundonthe 416 ventingrate.Thetotalventedvolumewasobtainedbymultiplyingthisventingratebythe 417 knowndurationofventingduringwellcompletion.Theseventedvolumesrangedfrom 418 340to1160Mscf,withanaverageof765Mscf.Theventingfromanaverage 419 unconventionalshalegaswellindicatedbytheDevonstudyisthus~23Mscf(=0.03x765 420 Mscf),whichissimilartothe18.33McfEPA(2010)estimatesisventedduringwell 421 completionofaconventionalgaswell(halfventedandhalfflared).Sinceventingduring 422 wellcompletionandworkoverconventionalgaswellsisestimatedat0.01%ofproduction 423 (e.g.,Howarthetal.,2011),thiskindofventingisinsignificantforbothunconventionaland 424 conventionalwells. 425 TheunconventionalgasleakagerateindicatedbytheDevondataisverydifferentfromthe 426 4587MscftheEPA(2010)inferredwasventedduringwellcompletionandworkoverfor 427 unconventionalgaswellsfromtheamountofgascapturedinaverylimitednumberof 428 “greencompletions”reportedtothembyindustrythroughtheirGasSTARprogram.In 429 their2010backgroundtechnicalsupportdocumenttheEPAassumedthatthiskindof 430 “green”capturewasveryrare,andthatthegaswasusuallyeitherventedorflared. 431 Assumingfurtherthatthegaswasvented50%ofthetime,theEPAconcludedthat4587 432 Mscfwasventedtotheatmosphereandthatunconventionalwellsvent250times 433 (=4587/18.3)moremethaneduringwellcompletionandworkoverthanconventionalgas 434 wells.TheEPA(2010)studyisa“BackgroundTechnicalSupportDocument”andnotan 435 officialreport.Itwasprobablyneverintendedtobemorethananoutlineofanapproach 436 andaninitialestimate,andtheEPAhassincecautionedthattheyhavenotreviewedtheir 437 analysisindetailandcontinuetobelievethatnaturalgasisbetterfortheenvironmentthan 438 coal(Fulton,2011).NeverthelesstheEPA(2010)reportsuggestedtomanythatthe 439 leakageduringwellcompletionandworkoverforunconventionalgaswellscouldbea 440 substantialpercentage(~2.5%)ofproduction,andmanyacceptedthissuggestionwithout 21 441 furthercriticalexaminationdespitethefactthatthesafetyimplicationsofthemassive 442 ventingimpliedbytheEPAnumbersshouldhaveraisedquestions(e.g.,Cathlesetal., 443 2012a,b). 444 Onceawellisinplace,theleakageinvolvedinroutineoperationofthewellsiteandin 445 transportingthegasfromthewelltothecustomeristhesameforanunconventionalwell 446 asitisfromaconventionalwell.WhatweknowaboutthisleakageissummarizedinTable 447 2.Routinesiteleaksoccurwhenvalvesareopenedandclosed,andleakageoccurswhen 448 thegasisprocessedtoremovingwaterandinertcomponents,duringtransportationand 449 storage,andintheprocessofdistributiontocustomers.Thefirstmajorassessmentof 450 theseleakswascarriedoutbytheGasResearchInstitute(GRI)andtheEPAin1997and 451 theresultsareshowninthesecondcolumnofTable2.AppendixAofEPA(2010)givesa 452 detailedandveryspecificaccountingofleaksofmanydifferentkinds.Thesenumbersare 453 summedintothesamecategoriesanddiaplayedincolumn3ofTable2.EPA(2011)found 454 similarleakagerates(column4).Skone(2011)assessedleakagefrom6classesofgas 455 wells.WeshowhisresultsforunconventionalgaswellsintheBarnettShaleincolumn5of 456 Table2.Hisotherwellclassesaresimilar.Venkatishetal(2011)carriedoutan 457 independentassessmentthatisgivenincolumn6.Therearevariationsinthese 458 assessments,butoverallaleakageof~1.5%ofproductionissuggested.Additional 459 discussionofthisdataanditscompilationcanbefoundinCathlesetal.(2012)andCathles 460 (2012). 461 462 Table2.Leakageofnaturalgasthatiscommontobothconventionalandunconventionalgaswellsinperentof gasproduction. GRI‐EPA EPA EPA Skone Venkatish (1997) (2010) (2011) (2011) eta.(2011) Routinesiteleaks 0.37% 0.40% 0.39% Processing 0.15% 0.12% 0.16% 0.21% 0.42% Transportation&storage 0.48% 0.37% 0.40% 0.40% 0.26% Distribution 0.32% 0.22% 0.26% 0.22% Totals 1.32% 1.11% 1.21% 22 463 464 Basedontheabovereviewthenaturalgasleakagerateappearstobenodifferentduring 465 thedrillingandwellpreparationofunconventional(tightshalesdrilledhorizontallyand 466 hydrofractured)gaswellsthanforconventionalgaswells,andtheoverallleakagefromgas 467 wellsisprobably<1.5%ofgasproduction.Intheircontroversialpapersuggestingthatgas 468 couldbetwiceasbadacoalfromagreenhousewarmingperspective,Howarthetal(2011, 469 2012)suggestedroutinesiteleakscouldbeupto1.9%ofproduction,leakageduring 470 transportation,storage,anddistributioncouldbeupto3.6%orproduction,andgas 471 leakagefromunconventionalgaswellsduringwellcompletionandworkovercouldbe 472 1.9%ofproduction.Adding0.45%leakageforliquidunloadingandgasprocessing,the 473 suggestedgasleakagecouldbe7.9%ofproduction,enoughto“undercutthelogicofitsuse 474 asabridgingfuelinthecomingdecades,ifthegoalistoreduceglobalwarming.” 475 ThebasisgivenbyHowarthetal.(2011)fortheirmorethan5foldincreaseinleakage 476 duringtransportation,storage,anddistributionis:(a)aleakageinRussianpipelinesthat 477 occurredduringthebreakupoftheSovietUnionwhichisirrelevanttogaspipelinesinthe 478 U.S.,and(b)adebateontheaccountingofgasinTexaspipelinesthatconcernsroyalties 479 andtaxreturns(Percival,2010).Howarthetal.suggestinthisTexascasethattheindustry 480 isseekingtohidemethanelossesofmorethan5%ofthegastransmitted,butthe 481 proponentsinthearticlestate“Wedon’tthinkthey’rereallylosingthegas,wejustthink 482 they’renotpayingforit”.Intheir5foldincreaseinroutinegasleaks(fromtheaverage 483 levelinTable2of0.38%to1.9%),Howarth’setal.(2011)citeaGAOstudyofventingfrom 484 wellsinonshoreandoffshoregovernmentleasesthatdoesnotdistinguishventingfrom 485 flaring.Lackingthisdistinction,itisnotsurprisingthatitconflictsdramaticallywiththe 486 summariesinTable2.Wehavealreadydiscussedleakageduringwellcompletionand 487 workoverandnotedthattheDevondataindicateHowarthetal.’s1.9%leakageatthis 488 stageishugelyexaggerated(theDevondataindicatestheleakageis~0.01%andsimilarto 489 thatfromconventionalgaswellcompletionsandworkovers). 490 TherehavebeenanumberofpaperspublishedrecentlythatoffersupportforHowarth’s 491 highleakageestimates.Hughes(2011)re‐interpreteddatapresentedinawidely 23 492 distributedNETLpowerpointanalysisbySkone(2011).ByloweringSkone’sEstimated 493 UltimateRecoveries(EUR)fortheBarnellShalefrom3Bcfto0.84Bcfwhilekeepingthe 494 sameestimateofleakageduringwellcompletionandgasdelivery,Hughesincreased 495 Skone’sleakageestimatesfrom2to6%ofproduction‐alevelwhichfallsmidwaybetween 496 Howarth’slowandhighgasleakageestimates.Howeverleakageisafractionofwell 497 production(awellthatdoesnotproducecannotemit),andthusisitbogustoreducethe 498 EUR(thedenominator)withoutalsoreducingthenumerator(theabsoluteleakageofthe 499 well).Skone’sdatamustbeevaluatedonitsownterms,notsimplyadjustedtofitsomeone 500 else’sconclusions. 501 Petronetal.(2012)analyzedairsamplesatthe300mhighBolderAtmospheric 502 Observatory(BAO)towerwhenthewindwastowarditfromacrosstheDenver‐Julesburg 503 Basin(DJB).Gasesventingfromcondensate(condensedgasfromoilandwetgaswells) 504 stocktanksintheDJBarerichinpropanerelativetomethane,whereastherawnaturalgas 505 ventingfromgaswellsintheDJBcontainverylittlepropane.Fromtheintermediateratio 506 ofpropanetomethaneobservedattheBAOtowerandestimatesofleakagefromthestock 507 tanks,Petroneetal.calculatethattodilutethepropaneleakingfromthestocktankstothe 508 propane/methaneratioobservedatthetower,~4%ofmethaneproducedbygaswellsin 509 theDJBmustventintotheatmosphere.TheairsampledattheBAOtoweriscertainlynot 510 simplyamixofrawnaturalgasandstocktankemissionsfromtheDJBasPetronetal. 511 assume,however.IfthiswerethecasetherewouldbenooxygenintheairattheBAO 512 towerlocation.Thebackgroundatmospheremustcertainlymixinwiththesetwo(and 513 perhapsother)gassources.BackgroundairintheDenverareacontains~1800ppb 514 methaneandverylittlepropane.Mixingwiththebackgroundatmospherecoulddilutethe 515 stocktankemissionstothepropane/methaneratioobservedattheBAOtowerwithno 516 leakagefromgaswellsintheDJBrequiredatall.Contrarytotheirsuggestion,theBAO 517 towerdatareportedbyPetroneetal.placenoconstraintsatallonthegasleakageratesin 518 theDJBwhatsoever.MoredetailsareinCathles(2012). 519 Certainlythereismorewecouldlearnaboutnaturalgasleakagerates.Theissueis 520 complicatedbecausegasisusedinthetransmissionprocesssoshrinkageofproductdoes 521 notequatetoventing.Inadditionthereareconventionsandpracticesthatmakescientific 24 522 assessmentdifficult.Despitethedifficulties,however,itappearsthattheleakagerateis 523 lessthan2%ofproduction. 524 Discussion 525 WehaveverifiedourcomputationsbycomparingthemtopredictionsbyWigley’s(2011) 526 publicallyavailableandwidelyusedMAGICCprogram.Althoughtherearesomeinternal 527 differences,Table3showsthatthe~40%reductioningreenhousewarmingwepredictis 528 alsopredictedbyMAGICCwhenscenariossimilartotheoneweconsiderhereareinputto 529 bothMAGICCandourprograms.TheMAGICCcalculationsstartat1990ADsoweconsider 530 thetemperatureincreasesfrom2000totheendoftheperiod.Fueluseisincreasedand 531 reducedlinearlyratherthanexponentially,andthefueluseatthestart,midpoint,andend 532 ofthetransitionsimulationsareslightlydifferentthaninFigure1.Thetemperature 533 changesforthe200yearcycleagreeverywell.Wigley’sMAGICCtemperaturechange 534 predictionsbecomeprogressivelylowerthanoursasthetransitionintervalisshortened. 535 ThismaybebecauseMAGICCincludesasmalloceanthermalinteraction,whereasthe 536 calculationswereportinTable3donot. 537 538 539 540 541 542 Table3.TemperaturechangespredictedbyWiglely’s(2011)MAGICCprogramforlinearchangesinfueluse similartothescenariosinFigure1comparedtoequilibrium(nooceanthermalinteraction)globalwarming predictionsbytheprogramdescribedandusedinthispaper.Thefirstthreerowscomparethetemperature changesofthetwoprograms.Thelastrowshowsthereductioningreenhousewarmingachievableby substitutingnaturalgasforcoalandoilasapercentageofthereductionthatwouldbeachievedbytherapid substitutionofallfossilfuelswithlowcarbonenergysources. 543 200yearcycle 100yearcycle 40yearcycle Program MAGICC Thispaper MAGICC Thispaper MAGICC Thispaper B‐as‐usual 3.85 3.68 2.3 2.56 1.05 1.5 Swapgas 2.85 2.85 1.65 1.94 0.80 1.12 LowCfast 1.7 1.70 0.85 1.09 0.38 0.58 %reduction 42% 42% 45% 42% 37% 41% 25 544 Incorporationoftheindirectcontributionstomethane’sradiativeforcingthroughψCH4in 545 equation(6)wasvalidatedbycomparingvaluesofGWPcomputedby(13)topublished 546 valuessummarizedinTable4. CH 4 GWP 547 t FCH 4 MWCO 2 f CH 4 dt C CH 4 [ ppbv] t 0 t FCO 2 MWCH 4 f CO 2 dt C CO 2 [ ppbv] t 0 (13) 548 GWPistherelativeglobalwarmingimpactofakgofCH4comparedtoakgofCO2addedto 549 theatmosphere,whenconsideredoveraperiodoftimet.Theradiativeforcings(∆F)are 550 definedby(6),theremovalofthegasesfromtheatmosphere(f)by(4aandb),andMWCO2 551 isthemolecularweightofCO2.TheψCH4factorof1.43inthesecondcolumnofTable4 552 combinestheindirectforcingcausedbyCH4‐inducedproductionofozone(25%according 553 toIPCC,2007)andwatervaporinthestratosphere(additional15%accordingtotheIPCC, 554 2007).WiththisfactortheGWPlistedinTable2.14oftheIPCC(2007)arereplicatedas 555 showninthesecondrowofTable4.TheψCH4factorof1.94inthesecondcolumnwas 556 determinedbyussuchthatitapproximatelypredictstheincreasedforcingssuggestedby 557 Shindelletal.(2009)asshowninthebottomrowofTable4.WedonotuseGWPsinour 558 analysisandusethemhereonlytojustifythevaluesofψCH4usedinourcalculations. 559 Table4TheGWPcalculatedfrom(6and13)forthevalueofψCH4incolumn2arecomparedtoGWP(in 560 parentheses)givenbytheIPCC(2007)andShindelletal.(2009). ψCH4 t=20years t=100years t=500years 1 51.5 17.9 5.45 IPCC(2007,§2.10.3.1,Table2.14) 1.43 73.5(72) 25.8(25) 7.8(7.6) Shindelletal.(2009) 1.94 99(105) 35(33) 10.5 Directmethaneforcingfrom(6) 561 562 Themostimportantmessageofthecalculationsreportedhereisthatsubstitutingnatural 563 gasforcoalandoilisasignificantwaytoreducegreenhouseforcingregardlessofhowlong 564 (withinafeasiblerange)thesubstitutiontakes(Figure4).Formethaneleakagesof~1%of 26 565 totalconsumption,replacingcoalusedinelectricitygenerationand50%oftheoilusedin 566 transportationwithnaturalgas(veryfeasiblestepsthatcouldbedrivenbythelowcostof 567 methanealonewithnogovernmentencouragement)wouldachieve~40%ofthe 568 greenhousewarmingreductionthatcouldbeachievedbytransitioningimmediatelytolow 569 carbonenergysourcessuchaswind,nuclear,orsolar.Afastertransitiontolow‐carbon 570 energysourceswoulddecreasegreenhousewarmingfurther,butthesubstitutionof 571 naturalgasfortheotherfossilfuelsisequallybeneficialinpercentagetermsnomatterhow 572 fastthetransition. 573 Thebasisforthe~40%reductioningreenhouseforcingissimplythereductionoftheCO2 574 putintotheatmosphere.Whengasleakageislow,thecontributionofmethaneto 575 greenhousewarmingisnegligible(Figure3),andonlytheCO2inputcounts.Thereduction 576 inCO2ventedbetweenthebusiness‐as‐usualandthesubstitute‐gasscenariosis44.1%of 577 thereductionbetweenthebusiness‐as‐usualtothelow‐carbon‐fastscenarios.This 578 fractionisindependentofthetransitionperiod;itisthesamewhetherthetransition 579 occursover50yearsor200years.BecausethelossesofCO2fromtheatmosphere 580 (equation4a)areproportionaltotheamountofCO2intheatmosphere,therelative 581 amountsofCO2attheendofthetransitionaresimilartotheproportionsadded.Forthe 582 sametransitionintervalalmostthesameproportionalamountsofCO2areremovedforall 583 scenarios.Thusthefractionalsubstitute‐gasreductioninCO2intheatmosphereatthe 584 endofallthetransitionintervalsremains44.1%althoughtherearesomevariationsinthe 585 seconddecimalplace.ThecurvesshowninFigure7intersectthey‐axis(0%gasleakage) 586 atfractionsslightlydifferentfrom44.1%becausetheradiativeforcingisnon‐linearwith 587 respecttoCO2concentration(equation5a).Thelongertransitionperiodsshowlargernon‐ 588 lineareffectsbecausetheyputmoreCO2intotheatmosphere.Thenearlydirect 589 relationshipbetweenreductionsinthemassofCO2ventedandthedecreaseinglobal 590 warmingisapowerfulconceptualsimplificationthatisparticularlyusefulbecauseitisso 591 easytocalculate,apointmadebyAllen(2009). 592 Theglobalwarmingreductionfromswappinggasfortheotherfossilfuelsofcourse 593 decreasesasmethaneleakageincreases.Butatlowleakagerates,thebenefitof 594 substitutingnaturalgasremainscloseto40%.Inthecontextofswappinggasforcoal,the 27 595 extramethaneemittedbylowlevelsofleakagehassuchatrivialclimateeffectthatitneed 596 notbeconsideredatall. 597 Sulfurdioxideadditionsarenotafactorinouranalysisbecausethesubstitute‐gasandlow‐ 598 carbon‐fastscenariosreducetheburningofcoaloverthegrowthperiodinanidentical 599 fashion.ThusbothintroduceSO2identically,andthesmallwarmingeffectsoftheSO2, 600 whichwilloccurnomatterhowcoalisretired,cancelinthecomparison.Intherealworld 601 the“aerosolbenefit”ofcoalmustberemovedeventually(unlesswearetoburncoal 602 forever),andthesooneritisremovedthebetterbothbecausethesmallwarmingits 603 removalwillcausewillhavelessimpactwhentemperaturesarecooler,and,muchmore 604 importantly,becausereplacingcoalsoonwillreduceCO2emissionsandleadtomuchless 605 globalwarminginthelongerterm. 606 Wigley’s(2011)decreaseingreenhousewarmingforthenaturalgassubstitutionhe 607 definesissimilartothatwecomputehere.At0%leakage,Wigley(2011,hisFigure3) 608 calculatesa0.35°Ccoolingwhichwouldbea0.45°CcoolingabsentthereducedSO2 609 emissionsheconsiders.Wecalculateacoolingof~0.62°Cfor0%leakage.Ourcoolingis 610 greaterthanhisatleastinpartbecauseourgassubstitutionscenarioreducestheCO2 611 emissionsmorethanhis.Fromnearlythesamestart,ourgassubstitutionreducesCO2 612 emissionsfromthebusiness‐as‐usual200yeartransitioncycleby743GtCwhereasWigley 613 reducesCO2by425GtC. 614 Thereareofcourseuncertaintiesinthekindofcalculationscarriedouthere,butthese 615 uncertaintiesareunlikelytochangetheconclusionsreached.Carbondioxideisalmost 616 certainlynotremovedfromtheatmosphereexactlyasdescribedbyequation(3).The 617 uptakeofCO2maywellslowastheclimatewarms.Carbondioxideislesssolubleinwarm 618 waterandthehalinecirculationmayslowastheseasurfacetemperatureincreases.The 619 increaseinterrestrialCO2uptakefromCO2fertilizationmaybereducedbynitrogen 620 limitations.AgooddiscussionoftheseissuesisprovidedinNRC(2011).Ebyetal.(2009) 621 havesuggestedbasedonsophisticatedcoupledglobalmodelsthat~50%oftheintroduced 622 CO2mayberemovedwithatimeconstantof130yearsand50%withanexponentialtime 623 constantof2900years.Modificationsofequation(3)thatreduceCO2uptakeastheclimate 28 624 warmswillmakethebenefitsofnotputtingCO2intotheatmosphere,forexampleby 625 substitutinggasforcoal,evengreater,andtheargumentspresentedherestronger. 626 Thetransmissionofheatfromthemixedtothedeeplayeroftheoceansisanunknown 627 whichhasastrongimpactontransientglobalwarming.Forexample,ifheatenteredthe 628 deeplayerwith10%oftheeasewithwhichitentersitfromtheatmospheresothat 629 s 1 ~0.1,thedeeplayerwouldlargelylooseitscoolingeffectiveness(e.g.,ainequation11 630 wouldhaveavalueof0.91).ThetransientresponsetoCO2forcingwouldberapid(occur 631 at0.91mix),andtheoceanwouldreducetheequilibriumglobaltemperaturechangeby 632 only9%.Therelativeratesatwhichheatistransferredintothemixedlayerandoutofit 633 intothedeeplayerwouldappeartobeanimportantareaforfurtherinvestigation, 634 especiallybecauseitimpactsourabilitytoinferpropervaluesintheequilibriumclimate 635 forcing(seediscussioninNRC,2011).Oceanheatexchangedoesnotaffectthe 636 comparativebenefitofsubstitutinggas,souncertaintiesintheoceanheatexchangeaernot 637 ofconcerntotheconclusionswereachhere. 638 ThecalculationsmadehereavoidtheuseofGWPfactors.ThedeficienciesintheGWP 639 approacharediscussedwellbySolomonetal.(2011).Asisapparentfrom(13),theGWP 640 metricrequiresthatthetimeperiodofcomparisonbespecified.Forashorttimeperiod,a 641 shortlivedgaslikemethanehasahighGWP(e.g.,itis72timesmorepotentintermsof 642 globalwarmingthanCO2whencomparedovera20year).Thenotionthatmethane 643 emissionshave72timestheglobalwarmingimpactofCO2wouldtempteliminating 644 methaneemissionsimmediately,andworryingaboutreducingCO2emissionslater.Onthe 645 otherhandfora500yearperiod,theglobalwarmingimpactofakilogramofvented 646 methaneisonly7.6thatofakilogramofCO2(GWPCH4=7.6,seeTable4),andthislow 647 impactwouldsuggestdealingwithCO2emissionsfirstandthemethaneemissionslater, 648 perhapsevensubstitutinggasforcoalandoil.AsSolomonetal.pointouttheGWPmetric 649 speaksonlytothetimeperiodforwhichitiscalculatedandshedsnolightonthewhether 650 CO2orCH4shouldbereducedfirst. 29 2 no fossil fuels Temperaure Change [C] 10% leakage Cd/Cm=20, mix=5 yrs CH4 Business as Usual Substitute Gas 1.5 1 39.8% Low Carbon Fast 0.5 0 0 100 200 300 400 500 time [years] 651 652 653 654 655 656 Figure8.TemperaturechangeforscenariosinFigure1whenatransitionperiodis100yearsisfollowedbya400 657 Figure8illustratesthefundamentaldilemma.Itshowsthatevenwhenmethaneleakageis 658 solarge(L=10%ofconsumption)thatsubstitutinggasforcoalandoilincreasesglobal 659 warmingintheshortterm,thebenefitofgassubstitutionreturnsinthelongterm.The 660 shorttermheatingcausedbymethaneleakagerapidlydissipatesafteremissionsofCO2 661 andCH4ceaseat100years.CH4israpidlyremovedfromtheatmosphere,butCO2isnot. 662 Theresultisthat50yearsorsoaftertheterminationofventing(beyond150yearsin 663 Figure8),thebenefitofgasemergesunscathed.Ata10%leakagerateanda100year 664 transitionperiod,thesubstitute‐gasscenarioproducesasmallamountmorewarmingthan 665 thebusiness‐as‐usualscenarioat70years,butafter150yearsthegassubstitutionreduces 666 globalwarmingmuchmorebecauseithasreducedtheamountofCO2ventedtothe 667 atmosphere.Figure8showshowdangerousametricsuchasGWPcanbe.Evenfor yearperiodwithnoburningoffossilfuels.Methaneleakageinthetransitionis10%ofgasconsumptionand Shindell’sgreatermethaneforcingandheatexchangewiththeoceanareincluded.Extramethaneventinginthe substitute‐gasscenarioproduceswarminggreaterthanthebusiness‐as‐usualscenariouptoalmosttheendof thetransition,butthebenefitsofreducingcarbonemissionsbysubstitutinggasemergeveryquicklythereafter. 30 668 methaneemissionsof9%ofproductionandShindell’sforcings,substitutinggasforcoalis 669 worthwhileinthelongterm.AnalysesthatrelyonlyonGWPfactors,suchasthatof 670 Howarthetal.(2011),missthismixofimpactscompletely,andseeonlythedamageof 671 extramethaneemissionsintheshorttermorthebenefitsofgassubstitutioninthelong 672 term,dependingontheGWPintervalselected.Fortunatelyitisveryeasytocarryoutthe 673 necessaryconvolutionintegrals(equations5and11)asdonehereandavoidGWPmetrics 674 altogether.AsstatedbySolomonetal.(2011)andotherswhotheycite,GWPfactors 675 shouldsimplynotbeusedtoevaluatefuelconsumptionscenarios. 676 Finally,framingthefuelusescenariosintermsofexponentialgrowthanddeclineaswe 677 havedonehereallowsthefeasibilityofimplementingthevariousscenariostobeexamined 678 inapreliminaryfashion.Figure9showstherateofgrowthoflowcarbonenergyresources 679 thatisrequiredbythefuelhistoriesinFigure1fora100yeartransition.Growthatmore 680 than5%peryearwouldbechallenging.Figure9showsthatthelow‐carbon‐fastscenario 681 inFigure1requiresanimmediate~16%peryear(butrapidlydeclining)growthinlow 682 carbonenergysources.Thegrowthrateoflowcarbonenergysourcesattheendofthe 683 growthperiodofthebusiness‐as‐usualscenarioisanevengreater24%peryear.Because 684 thereistimetoplan,thiscouldbereducedbyphasinginlowcarbonenergysourcestoward 685 theendofthefossilfuelgrowthperiod.Thesubstitute‐gasscenariohasamuchlower 686 growthrequirementatthisstage,whichwouldmakethisscenariosubstantiallyeasierto 687 accommodate. 688 Anydecisiontosubstitutegasforcoalandoilofcourseinvolveseconomicandsocial 689 consideration,aswellasclimateanalysis.Naturalgascanenablethetransitiontowindor 690 solarenergybyprovidingthesurgecapacitywhenthesesourcesfluctuateandbackup 691 whenthesesourceswane.Becauseofitswideavailabilityandlowcost,economicfactors 692 willencouragegasreplacingcoalinelectricitygenerationandoilinsegmentsof 693 transportation.ItisafueltheU.S.andmanyothercountriesneednotimport,soits 694 developmentcouldincreaseemployment,nationalsecurity,andamorepositivebalanceof 695 payments.Ontheotherhand,cheapandavailablegasmightunderminetheeconomic 696 viabilityoflowcarbonenergysourcesanddelayatransitiontolowcarbonsources.Froma 697 greenhousepointofviewitwouldbebettertoreplacecoalelectricalfacilitieswithnuclear 31 698 plants,windfarms,orsolarpanels,butreplacingthemwithnaturalgasstationswillbe 699 faster,cheaperandachieve40%ofthelow‐carbon‐fastbenefitiftheleakageislow.How 700 thisbalanceisstruckisamatterofpoliticsandoutsidethescopeofthispaper.Whatcan 701 besaidhereisthatgasisanaturaltransitionfuelthatcouldrepresentsthebiggest 702 availablestabilizationwedgeavailabletous. Growth Rate Low Carbon Energy Sources e Busin 20 s u al s s as U 16 w Lo 12 r Ca t as nF bo Growth rate [%/yr] 24 8 Substitu te Gas 4 0 0 50 100 time [years] 703 704 705 Figure9.ThegrowthrateoflowcarbonenergysourcesdeducedfromFigure1plottedasafunctionoftimefora 706 Conclusions 707 Thecomparativeapproachtakeninthispapershowsthatthebenefitofsubstituting 708 naturalgasdependsonlyonitsleakagerate. 709 1.Forleakagerates~1%orless,thesubstitutionofnaturalgasforthecoalusedin 710 electricitygenerationandfor55%oftheoilusedintransportationandheatingachieves 100yeartransition.Growthratesmorethan5%peryearsuchwillbechallengingtoachieveonaglobalbasis. 32 711 40%ofthereductionthatcouldbeattainedbyanimmediatetransitiontolow‐carbon 712 energysources. 713 2.This40%reductiondoesnotdependonthedurationofthetransition.A40%reduction 714 isattainedwhetherthetransitionisover50yearsor200years. 715 3.Forleakagerates~1%orless,thereductionofgreenhousewarmingatalltimesis 716 relateddirectlytothemassofCO2putintotheatmosphere,andthereforetoreduce 717 greenhouseforcingwemustreducethisCO2input.ComplexitiesofhowCO2isremoved 718 andreductionsinSO2emissionsandincreasesincarbonblackandthelikedonotchange 719 thissimpleimperativeandshouldnotbeallowedtoconfusethesituation. 720 4.Atlowmethaneleakagerates,substitutingnaturalgasisalwaysbeneficialfroma 721 greenhousewarmingperspective,evenforforcingsashighashavebeensuggestedby 722 Shindelletal.(2009)andusedbyHowarthetal.(2011).Underthefastesttransitionthatis 723 probablyfeasible(our50yeartransitionscenario),substitutionofnaturalgaswillbe 724 beneficialiftheleakagerateislessthanabout7%ofproduction.Foramorereasonable 725 transitionof100years,substitutinggaswillbebeneficialiftheleakagerateislessthan 726 ~19%ofproduction(Figure7).Thenaturalgasleakagerateappearstobepresentlyless 727 than2%ofproductionandprobably~1.5%ofproduction. 728 5.Evenifthenaturalgasleakageratewerehighenoughtoincreasegreenhousewarming 729 (e.g.,theleakagewas10%ofmethaneconsumptionor9%ofmethaneproduction), 730 substitutinggaswouldstillhavebenefitsbecausethereductionofCO2emissionswould 731 leadtoagreaterreductioningreenhousewarminglater(Figure8). 732 6.Gasisanaturaltransitionfuelbecauseitssubstitutionreducestherateatwhichlow 733 carbonenergysourcesmustbelaterintroduced(Figure9)andbecauseitcanfacilitatethe 734 introductionoflowcarbonenergysources. 735 Thepolicyimplicationsofthisanalysisare:(1)reducetheleakageofnaturalgasfrom 736 productiontoconsumptionsothatitis~1%ofproduction,(2)encouragetherapid 737 substitutionofnaturalgasforcoalandoil,and(3)encourageasrapidaconversiontolow 738 carbonsourcesofenergyaspossible. 33 739 Acknowledgements 740 Thispaperwasgreatlyimprovedbythreeexcellentreviews,twoanonymousandoneby 741 RayPierrehumbert.Raypointedouttheimportanceofoceanmixing,suggestedcasting 742 fueluseintermsofexponentialgrowthanddecline,anddrewmyattentiontoimportant 743 references(asdidtheotherreviewers).Iamindebtedtomypriorco‐authorsinthis 744 subject(MiltonTaam,LarryBrown,andAndrewHunter)forcontinuingveryhelpful 745 discussions,andtomembersofthegasindustrywhopointedoutdataandhelpedme 746 understandthecomplexitiesofgasproduction.MiltonTaamdrewmyattentiontothe 747 MAGICCprogramandshowedmehoweasyitwastouse,andalsopushedpersistentlyfor 748 thebroaderviewofmethanesubstitutionshowninFigure8.Thepaperwouldnotbewhat 749 itiswithoutthecontributionoftheseindividualsandIthankthemfortheirinput. 750 References 751 Allen,MR,FrameDJ,HuntingforC,JonesCD,LoweJA,MeinshauseM,andMeinshausenN 752 (2009)Warmingcausedbycumulativecarbonemissionstowardsthetrillionthtonne, 753 Nature,458(7242),1163–1166,doi:10.1038/nature08019. 754 CathlesLM,(2012)PerspectivesontheMarcellusgasresource:Whatbenefitsandrisksare 755 associatedwithMarcellusgasdevelopment?, 756 http://blogs.cornell.edu/naturalgaswarming/ 757 CathlesLM,BrownL,TaamM,HunterH(2012a)Acommentaryon“thegreenhouse‐gas 758 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