Can Physics Save Miami (and Shanghai and Venice, by Lowering the Sea)? Can Physics Save Miami (and Shanghai and Venice, by Lowering the Sea)? Edward Wolf New York University Tandon School of Engineering, New York, USA Morgan & Claypool Publishers Copyrightª2019Morgan&ClaypoolPublishers Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem ortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,recording orotherwise,withoutthepriorpermissionofthepublisher,orasexpresslypermittedbylawor undertermsagreedwiththeappropriaterightsorganization.Multiplecopyingispermittedin accordancewiththetermsoflicencesissuedbytheCopyrightLicensingAgency,theCopyright ClearanceCentreandotherreproductionrightsorganizations. Rights&Permissions Toobtainpermissiontore-usecopyrightedmaterialfromMorgan&ClaypoolPublishers,please [email protected]. ISBN 978-1-64327-428-7(ebook) ISBN 978-1-64327-425-6(print) ISBN 978-1-64327-426-3(mobi) DOI 10.1088/2053-2571/aafe76 Version:20190401 IOPConcisePhysics ISSN2053-2571(online) ISSN2054-7307(print) AMorgan&ClaypoolpublicationaspartofIOPConcisePhysics PublishedbyMorgan&ClaypoolPublishers,1210FifthAvenue,Suite250,SanRafael,CA, 94901,USA IOPPublishing,TempleCircus,TempleWay,BristolBS16HG,UK In memory of Harriet Wilson Burgess Contents Preface ix Author biography xi 1 The sea-level threat exemplified by Miami and Venice 1-1 1.1 Introduction to the Anthropocene 1-1 1.2 The recent rise of sea level 1-6 1.3 The River Thames flood barrier 1-18 1.4 The ‘Big U’ water fence for New York 1-20 1.5 Why Miami is more difficult 1-22 1.6 Amplification of sea-level threat by tides, storm-surges and the 1-23 high vapor pressure of warm water 1.7 Quantifying damages and liabilities: fractional attributable risk 1-25 References 1-28 2 Carbon burning has ‘engineered’ a new era of high 2-1 temperature and high sea level 2.1 Radiation balance sets Earth temperature 2-1 2.1.1 Stefan–Boltzmann law of radiation from hot matter 2-3 2.1.2 Earth temperature 2-4 2.2 The greenhouse gas discoveries of Tyndall and Arrhenius 2-5 2.2.1 Properties of Earth’s atmosphere 2-5 2.2.2 Direct observation of the greenhouse effect 2-10 2.3 Carbon dioxide rose during the fossil fuel era from 280 ppm to 2-11 410 ppm 2.4 Temperature and sea level rises are accelerating, will there be a 2-14 tipping point? References 2-27 3 Instability of Earth climate and sea level 3-1 3.1 The ice core record of 420 000 years 3-1 3.2 Sea level rise since the last glaciation 3-7 vii CanPhysicsSaveMiami(andShanghaiandVenice,byLoweringtheSea)? 3.3 The ‘Hothouse Earth’: an earlier era of high sea level 3-9 3.3.1 The euxinic ocean 3-13 3.3.2 The role of volcanism 3-17 References 3-18 4 What was learned from Mt Pinatubo eruption in 1991 4-1 4.1 Sulfur dioxide emission and stratospheric aerosol 4-3 4.2 Cooling of the Earth by the Mt Pinatubo eruption 4-8 4.3 Lowering sea level from Mt Pinatubo in the altimeter record 4-9 4.4 Particulate matter in the contemporary atmosphere 4-11 References 4-15 5 Solar engineering to cool the Earth 5-1 5.1 Size and type of artificial aerosol: a back-of-the-envelope estimate 5-1 5.2 Expected lifetime, cooling, and other aspects 5-2 5.3 A more general look at light scattering particles 5-4 5.4 Model predictions of climate alterations 5-8 5.5 Methods of aerosol insertion 5-10 5.6 Cost estimates are low 5-11 References 5-13 6 Can sea level be lowered by cooling to save Miami? 6-1 6.1 Thermal expansion of sea water 6-1 6.2 Sea level predictions based on the volcanic eruptions 6-3 6.3 Sea level predictions using geoengineering and climate models 6-4 6.4 Saving Miami and Shanghai and Venice by lowering the sea 6-6 References 6-9 Some useful constants 7-1 Glossary 8-1 viii Preface The sea is steadily rising, presently at ∼3.4 mm yr−1, already costing billions in Venice, on the Thames River and in New York City, to counter sea-level-related surges. Experts anticipate an accelerated rise, and find credible predictions for sea level rise, by the year 2100, ranging from 12 inches to above 6 feet. Rise is accompanied by more extreme events such as hurricanes, with storm-surges at high tide above average water heights, leaving costly damage. We now know that theEarthhasbeendivertedfromageneralcoolingtrendtoasharplywarmingtrend, bythe∼50%increaseofatmosphericcarbondioxidesincethestartoftheindustrial age, ca 1800. The warming effect of carbon dioxide, by trapping black-body radiation from the Earth, was correctly analyzed in 1896 by Svante Arrhenius. StudyoftheEarth’sgeologichistory,throughice-coresamples,linkssealevelriseto temperaturerise,throughmechanismsofglacier-andice-sheetmelting,andthermal expansionofwater.Temperaturerisedirectlyincreasesthevaporpressureofwater, making more likely extreme rainfalls and strong storms, such as hurricanes. The kinetic energy of storms derives from the condensation energy of water vapor into liquid, so the intensity of storms is directly related to Earth temperature. Since the lifetime of carbon dioxide in the atmosphere is measured in centuries, and it has upset the balance of incoming and outgoing energy, the Earth’s temperature will continue to rise,even ifcarbon burningceases.Engineering the Earth’ssolarinput, referred to as ‘solar radiation modification’, in the valuable IPCC documents of October 2018, appears increasingly attractive and practical as a means to lower the Earth’s temperature, and thus, primarily by the thermal expansion effect, to lower sea level. Methods of introducing reflective sub-micron particles in the stratosphere areknown,andtheireffectshavebeencalibratedfromsimilareffectsfromvolcanic eruptionslikethatofMountPinatubo,in1991.Aresultofthateruptionwasa5mm drop in sea level. The cost of engineering the climate appears small, comparable, even, to the already-incurred costs of sea level rise represented by civil engineering projects in London, Venice and New York City. It appears that an individual country could undertake solar geoengineering within its borders and that any such program, once terminated for any reason, would leave no residual, as the reflective particlesfallawayonatimespanofafewyears,similartoavolcaniceruption.Any suchdeploymentwouldbeeasilymonitoredbywidelyavailableopticalobservation stations, and more. Feasible deployment of geoengineering, accompanied by some reduction in carbon burning, is predicted to lower the sea level by the order of one foot by 2100 AD, negating the expected rise, to provide an immense economic benefit. The accompanying lower global temperature would reduce the severity of extreme weather, and restore habitability to lethally hot parts of the world. This bookisprimarilyconceivedtoaidandinformtheeducatedcitizen:aspectsmayalso interest climate workers.It could be usedas a supplement to acollege or university course. The author is an experimental physicist, employed in industry, academia, and government, and, benefits from considerable interaction with the engineering community. The author has also benefited from interaction with NYU colleagues ix