Ocean Dynamics, 2011, in press. 1 2 3 4 5 6 2010 Oil Spill: Trajectory Projections Based on Ensemble Drifter Analyses Y.-L. Chang, L.-Y. Oey*, F.-H. Xu, H.-F. Lu and A.Fujisaki Princeton University, Princeton, NJ, USA *Corresponding author: lyo@princeton.edu Abstract 7 An accurate method for long-term (weeks to months) projections of oil spill 8 trajectories based on multi-year ensemble analyses of simulated surface and subsurface (z = 9 800 m) drifters released at the northern Gulf of Mexico spill site is demonstrated during the 10 2010 oil spill. The simulation compares well with satellite images of the actual oil spill 11 which show that the surface spread of oil was mainly confined to the northern shelf and slope 12 of the Gulf of Mexico, with some (more limited) spreading over the north/northeastern face 13 of the Loop Current, as well as northwestward toward the Louisiana-Texas shelf. 14 subsurface, the ensemble projection shows drifters spreading south/southwestward, and this 15 tendency agrees well with ADCP current measurements near the spill site during the months 16 of May~July, which also shows southward mean currents. An additional model analysis 17 during the spill period (Apr-Jul/2010) confirms the above ensemble projection. The 2010 18 analysis confirms that the reason for the surface oil spread to be predominantly confined to 19 the northern Gulf shelf and slope is because the 2010 wind was more southerly compared to 20 climatology, and also because a cyclone existed north of the Loop Current which moreover 21 was positioned to the south of the spilled site. 22 At 23 1. Introduction 24 On 20 April, 2010, an off shore oil rig at the Macondo Prospect site operated by the 25 British Petroleum (BP) in the Gulf of Mexico exploded and then sank into 1500 m of waters 26 approximately 80 km southeast of Venice, Louisiana. According to a federal panel of 27 scientists (the “Flow Rate Technical Group”), a total of about 4.9 million barrels of oil 28 leaked into the ocean from the initial explosion to 15 Jul 2010 when the flow was stopped 29 (see 30 The spill threatened wildlife, ecosystem, and the livelihood of people on the Gulf Coast. 31 Shortly after the spill, we used simulated drifters to make long-term (weeks ~ months) 32 ensemble forecasts, with error estimates, of how and where the oil might spread using a 33 unique set of high-resolution, multi-year, and data-assimilated analyses of wind, Loop 34 Current 35 (http://www.aos.princeton.edu/WWWPUBLIC/PROFS). 36 NOAA, who used it to conduct oil-spill trajectory calculations based on the Monte-Carlo 37 method. Both our and NOAA’s analyses refuted some of the “doomsday” predictions at that 38 time showing extensive beaching along the Florida’s western coast, and in one example oil 39 being carried out of the Gulf of Mexico and across the Atlantic Ocean. http://www.nytimes.com/interactive/2010/05/01/us/20100501-oil-spill-tracker.html). and eddy-driven currents in the Gulf of Mexico We made our data available to 40 Circulations in the eastern Gulf of Mexico are complex, comprising of currents 41 which near the coast are driven by wind and river plumes, and in the open ocean by wind, 2 42 Loop Current and energetic eddies from surface to 500~800 m below the surface. In deep 43 layers, smaller-scale eddies and topographic Rossby waves are dominant. For a review see 44 Oey et al. 2005a (or/and DiMarco et al. 2005). For more recent studies, see Hamilton, 2007; 45 Lugo-Fernández and Badan, 2007; Oey, 2008; Sturges and Kenyon, 2008; Hamilton, 2009; 46 Oey et al. 2009; and Chang and Oey, 2010. There exist a wide range of temporal and spatial 47 scales in the circulation processes. To arrive at meaningful statistics, our approach is to 48 obtain long-term (i.e. multi-year ~ decadal) analyses of the currents combining model and 49 observations, and then use these currents to produce ensemble drifter trajectories. 50 51 2. Methodology 52 The Princeton Ocean Model (POM; http://www.aos.princeton.edu/WWWPUBLIC 53 /htdocs.pom/; Mellor, 2002) is used together with an efficient scheme that projects satellite 54 sea-surface height anomaly (SSHA) data from Archiving, Validation and Interpretation of 55 Satellites Oceanographic data (AVISO) (http://www.aviso.oceanobs.com/) on 1/3o×1/3o 56 Mercator grid to the model density field (Mellor and Ezer, 1991; Ezer and Mellor, 1994; Yin 57 and Oey, 2007). 58 computed from a (~10 year) model run without assimilation to assimilate satellite SSHA into 59 the model temperature. Sea-surface temperature (SST) is similarly assimilated using data 60 from MCSST (http://gcmd.nasa.gov/ records/GCMD_NAVOCEANO_MCSST.html) but its The projection uses SSHA and temperature-anomaly correlations pre- 3 61 effects are less than SSHA. 62 (CCMP)(http://podaac.jpl.nasa.gov/DATA_CATALOG/ ccmpinfo.html) winds and daily river 63 discharges from the U.S. Geological Survey (http://waterdata.usgs.gov/nwis/rt) from 51 64 United State (US) rivers (34 in the Gulf and 17 in the eastern coasts) are specified. The 65 CCMP wind is a 6-hourly gridded (1/4o×1/4o) product that combines ERA-40 re-analysis 66 with satellite surface winds from Seawinds on QuikSCAT, Seawinds on ADEOS-II, AMSR-E, 67 TRMM TMI and SSM/I, as well as wind from ships and buoys. The model domain covers 68 most of the northwestern Atlantic Ocean (NWAO) from 100oW55oW and 5oN50oN at 69 approximately 5~10 km resolution in the Gulf of Mexico, and there are 25 vertical terrain- 70 following (i.e. sigma) levels; this will be referred to as the NWAO model (Oey and Zhang, 71 2004; Chang and Oey, 2010). An accurate fourth-order pressure-gradient scheme is used 72 (Berntsen and Oey, 2010). The first sigma grid is z = 1.05 m below the surface in 1500 m 73 of water. Monthly temperature and salinity climatologies from National Oceanographic Data 74 Center’s 75 (http://www.nodc.noaa.gov/OC5/WOA05/pr_woa05.html) are used to specify the model’s 76 only open boundary conditions at 55oW. 77 salinities below z = 1000 m are also relaxed to WOA climatologies with a long time scale of 78 600 days; this does not impede short-period mesoscale variability. A modified Mellor and 79 Yamada’s [1982] 2.5-level closure scheme that inputs breaking-wave turbulence energy at the (NODC) Six-hourly World Cross-Calibrated Ocean Multi-Platform Atlas To prevent long-term drift, temperatures and 4 80 surface is used [Craig and Banner, 1994; Mellor, 2002]. This improves mixed layer depths 81 and corrects unrealistically large speeds close to the surface sometimes found in the original 82 scheme. The model has been used for research in the Gulf of Mexico where we have also 83 extensively compared the results against observations both in the surface and subsurface 84 (Oey and Lee, 2002; Ezer et al. 2003; Wang et al. 2003; Fan et al. 2004; Oey et al. 2005a,b, 85 2006, 2007, 2008, 2009; Lin et al. 2007; Yin and Oey, 2007; Oey, 2008; Wang and Oey, 2008; 86 Mellor et al. 2008). 87 A high-resolution domain west of ~78oW and from 6oN~33oN is nested within the 88 NWAO model at double the resolution (3~5 km horizontal grids and the same 25 sigma 89 levels). The nest encompasses the northwestern Caribbean Sea, the southern portion of the 90 South Atlantic Bight east of Florida, and the entire Gulf of Mexico. The nest receives 91 boundary conditions from the NWAO model. 92 conducted. 93 conditions of wind, river discharge, Loop and eddy-driven currents pertaining to their 94 respective time periods. They do not, however, cover the 2010 conditions. The CCMP wind 95 tends to underestimate tropical cyclone strengths, so we supplement it with the NOAA’s 96 HRD (Hurricane Research Division) analysis wind when these are available (see details in 97 Yin and Oey, 2007). The 8-year ensemble then provides an estimate of the condition that 98 would prevail if the present Loop Current (and eddies) are forced by winds from spring Eight-year (2000-2007) analyses were Both of the NWAO and nested models therefore span the wide-ranging 5 99 through end of summer. Our goal is then to assess the accuracy of the spill probability as 100 projected by ensemble spread of particles tracked using this 8-year data. Given that accurate 101 forecast winds are not available beyond approximately one week, our approach is potentially 102 a powerful means for long-term spill projections of 1~2 months. 103 Three-hourly surface (i.e. first sigma level) currents and daily subsurface currents are 104 used. Drifters are tracked horizontally at this surface level only with a semi-Lagrangian 4th- 105 order Runge-Kutta scheme [e.g. Awaji et al., 1980] using currents and velocity shears from 106 the model, from 21 Apr through 20 Aug (120 days) of each of the 8 analysis years. Five 107 drifters per day are released, one at the accident site (88.39oW, 28.74oN), and four others at 108 surrounding (i.e. neighboring) grids approximately 3 km (East-West and North-South) away. 109 Since the model includes satellite data, rivers and winds, the ensemble analysis samples the 110 ocean state due to Loop Current and rings, as well as winds and river discharges typical of 111 spring to summer. The additional four neighboring drifters are used to estimate uncertainty 112 of the release position on the model’s finite-difference grid, and also due to incomplete 113 model physics, forcing, and numerical truncation errors. 114 115 3. Results 116 Winds in the Gulf of Mexico from 21 Apr through 20 Jun are predominantly from the 117 east-southeast with speeds of 5~7 m s-1 typical of spring to early summer conditions [Fig.1; 6 118 Gutierrez de Velasco and Winant, 1996; Wang et al., 1998]. However, wind directions near 119 the spill site and east to the Florida Big Bend are seen to be more variable spanning a wider 120 range from easterly, southerly to westerly, than locations further south and west. These 121 winds produce northwestward to north/northeastward surface Ekman drift. The Louisiana, 122 Mississippi, Alabama and the northwestern Florida coasts are therefore potential areas where 123 drifters might end up. Ohlmann and Niiler (2005) show that very few drifters released over 124 the shelf of Mississippi-Alabama-Florida can reach the Louisiana-Texas shelf west of the 125 Mississippi Delta. However, easterly winds are downwelling-favorable with respect to the 126 northern Gulf coast and, in combination with the Mississippi river plume, a strong westward 127 coastal current can develop [Kourafalou et al. 1996]. Drifters can therefore also be advected 128 to the Louisiana and Texas coasts west of the Mississippi delta, as will be seen later from 129 satellite data. Moreover, since the release site is over the relatively deep region of the eastern 130 Gulf of Mexico, drifter trajectories are also affected by the powerful Loop Current, rings and 131 smaller eddies [Oey et al. 2005a]. 132 Figure 1a (inset) shows wind-rose at National Data Buoy Center (NDBC) station 133 42040 just north of the spill site, computed from 21 Apr-07 Jun 2010. It indicates that winds 134 during the first half of the spill were more southerly and southwesterly than climatology. 135 More detailed monthly (April-July) mean wind and standard-deviation ellipse plots in fig.1b 136 confirm that from April through May the winds in 2010 were more southerly and 7 137 southwesterly than climatology. In June of 2010, winds were typical of climatology, while in 138 July 2010 winds were more easterly. The consequences of these will be discussed later. 139 Figure 2 (top panel) shows the visitation frequencies [Csanady, 1983; henceforth 140 “VF’s”] on the 60th day (20 Jun) for a daily release from 21 Apr through 20 Jun (60 days). 141 The VF is the number of times each grid square of a uniform resolution (0.05o×0.05o) grid is 142 visited by the simulated drifters as a percentage of the total number of drifters released (480 143 = 60drifters × 8years). The plot then shows the likelihood that each region is visited by the 144 drifters. Another useful statistical information is the residence time which is a measure of 145 both the frequency as well as the length of time each region has been visited; this is also 146 shown in figure 2 (bottom panel). It shows large values (~30 days) near the spill site and in 147 regions where drifters most often visit and/or the flow is sluggish. During the first few 148 weeks, drifters preferentially spread north/northeastward in the same direction as the 149 dominant direction of the wind-driven Ekman currents. 150 west/northwestward towards the Louisiana-Texas shelf due to wind and plume processes, and 151 south/southeastward into deeper waters caused by eddies and the Loop Current. 152 drifters follow the north/northeastern face of the Loop Current and are advected to the 153 southern tip of Florida, but the %VF is low. The west Florida shelf and coast are largely free 154 of drifters, and so is the Texas coast. The reason in both cases is due to the predominantly 155 easterly winds, which produce west/northwestward Ekman drift away from the west Florida 8 Later, they also spread Some 156 coast, and convergence on the northern Gulf coasts. Also, in combination with buoyancy 157 forcing from rivers [Cochrane and Kelly, 1986], the easterly winds tend to force drifters to 158 beach on the Louisiana coast before they reach Texas. 159 It is interesting to see how each of the five northern Gulf’s states is affected by the 160 drifter-release. This is shown in Fig.3 which gives percentages of drifters that are stranded at 161 the coast of each of the 5 states on 20 June, and the calculation is for five drifters released 162 daily for two weeks (21 Apr-15 May). The two most-affected states are Louisiana and 163 Mississippi, which receive about 20% each of the total releases. Next are Alabama and 164 Florida, each about 10%, while Texas is free of stranded drifters. The northern Florida coast 165 west of the “Big Bend” (near 84oW) has 2~3 times longer coastline than Alabama, and 166 therefore though it is farther from the release site, it receives approximately the same number 167 of stranded drifters. 168 We find that the VF-distributionat z = 10 m (not shown; but see 169 http://www.aos.princeton.edu/WWWPUBLIC/ PROFS/bp_spill.html) is quite different from 170 that at the surface as very few drifters beach even after 60 days. This shows the importance 171 of resolving the near-surface layer with a fine mesh of less than 1 meter; over the shelf (water 172 depths < 100m), the present model has 4~5 grid points near the surface. The mixed layer 5 173 m from the model, because of small eddy diffusivity < 10-3 m2 s-1 due to strong stratification 174 caused by buoyancy inputs from rivers and surface heating, and by generally weak winds. 9 175 The downwelling-favorable wind therefore produces at z = 10 m a weak but predominantly 176 offshore flow which prevents drifters at that level from reaching the coast. 177 In contrast to the surface analyses, the VF-distribution at z = 800 m (fig.4, top panel) 178 shows values confined near the release site. This depth is chosen because deep currents 179 below z 800 m in the Gulf of Mexico are mostly depth-independent [e.g. Oey, 2008]. 180 Highest VF-values near the spill site are aligned along-isobath from west-southwest to east- 181 northeast. In approximately 1 month, stirring by deep currents and eddies [Oey, 2008; 182 Hamilton, 2009] spread drifters southward with a preferential tilt towards the west/southwest 183 from the base of DeSoto Canyon after 60 days [c.f. Wang et al. 2003]. The southward spread 184 agrees well with observed ADCP (Acoustic Doppler Current Profiler) measurements at z=- 185 1000m (fig.4, bottom panel), which shows also southward mean currents near the spill site 186 for the months of May~July in 2010. 187 To understand how currents due to winds, plumes, eddies and Loop Current affect the 188 fate of drifters, we group (Fig.5) drifter tracks according to their dominant drift directions: (a) 189 north/northeastward towards the coasts east of the Mississippi delta, (b) westward towards 190 the western Louisiana and Texas coasts, and (c) south/southeastward towards the Straits of 191 Florida. Drifters in Fig.5c are clearly dominantly driven by the Loop Current, which was 192 extended northward past the 26.6oN in 21 Apr-20 Jun of 2005 and 2006. Mean winds during 193 those periods were weak from the east southeast, with speeds 2 m s-1. Their effects can still 10 194 be seen however as some drifters are forced onshore by the Ekman drift (Fig.5c). In Fig.5a,b, 195 except for 2003, the Loop Current was in a retracted state south of 26.6oN, and drifter tracks 196 are predominantly determined by wind-induced currents. 197 southerly and sometimes exceed 5 m s-1. The corresponding Ekman currents tend to force 198 drifters onshore towards the Louisiana-Mississippi-Alabama coast east of the delta. 199 appears that the strong southerly bursts were sufficient to overcome the Loop Current’s 200 influence even for 2003. In Fig.5b, winds had strong easterly bursts, also about 5 m s-1. The 201 combination of westward winds and river plumes is effective in forcing a coastal jet that 202 advects drifters westward. In 2004 and 2007, influences of deep-water eddies south of the 203 release site, a cyclone in 2004 (not shown) and a Loop Current ring in 2007 (Fig.5b) can also 204 be seen. In Fig.5a, winds are more It 205 To provide an estimate of the uncertainty, the analyses are repeated using a longer 206 dataset from 1993-2007 (15-year) but at a lower (1/2) model resolution. The results are 207 similar and are not shown here. The 15-year dataset gives more diffused VF’s as can be 208 expected from a lower-resolution model. The higher-resolution model also produces more 209 north/northeastward spreading towards the Mississippi-Alabama coast, as well as westward 210 spread towards Texas. Both are induced by stronger coastal currents due to the finer grid. 211 South of the spill site, both datasets show similar spreading along the eastern face of the 212 Loop Current. 11 213 How accurate is the above projection? We now have estimates of the surface extent 214 of oil from aerial photos and satellite imagery (not from models) by NOAA, shown in fig.6, 215 and they may be compared with Figure 2. The important point about our prediction (fig.2) is 216 that the spill is almost totally confined within the northeastern Gulf of Mexico, with bias over 217 the northern and eastern face of the Loop Current and also towards the northern and 218 northeastern coasts of the Gulf. As mentioned above, our analysis also predicts that no oil 219 beached along the western shore of Florida. These predictions are in good agreement with 220 the observed images shown in Fig.6. These show a predominantly north and northeastward 221 spreading of oil from the spill site in agreement with the predicted larger VF’s in those 222 regions. It also indicates oil slicks being preferentially advected east/southeastward along the 223 north/northeastern face of the Loop Current, which also agrees with the predicted string-like 224 VF-distribution in Fig.2 in the region 87-86W and 25-28N. With the exception of the 225 extreme northwestern coast of Florida (west of the Big Bend), the Florida coast remained 226 free of oil slicks, so were most of the coastal regions west of the Mississippi Delta, where 227 Fig.2 indicates low VF-values. Our analysis shows only a low percentage of oil slicks being 228 dispersed out of the Gulf by the Loop Current/Gulf Stream system. The small percentage is 229 moreover outside the certainty of our estimate as measured by the grey shading of fig.2 (top). 230 231 2010 Simulation: Comparison with Observed Satellite Data 12 232 To further assess the accuracy of the circulation and drifter-tracking models, we 233 conducted an additional analysis on the nested grid by assimilating satellite altimeter (SSHA) 234 data from April-July 2010, and repeated the drifter-tracking experiment. The CCMP wind 235 was not available, so instead we used the 6-hourly Global Forecast System GFS wind from 236 the National Centers for Environmental Predictions (NCEP), at 0.5o×0.5o resolution. We 237 then compare the results against observed digital data of oil-spill images. The data are daily 238 in the so called “shapefile” format, and contain information on the edges of oil spill – from 239 ftp://satepsanone.nesdis.noaa.gov/OMS/disasters/DeepwaterHorizon/composites/2010/. 240 Figure 7 (top panel) shows their composite from 17 May through 30 Jul 2010, and the lower 241 panel of fig.7 shows the corresponding simulated-drifter composite superposed on the model 242 velocity and SSH fields averaged over the same 2.5 month period. When calculating the 243 model composites, only those drifter-trajectories that fall within a radius of 200 km from the 244 spill site are used as initial conditions for the subsequent 2-week composite. This is to very 245 roughly account for the degrading oil with time – the spilled oil has either evaporated or been 246 burned, skimmed, recovered from the wellhead or dispersed. For typical currents of about 247 0.15 m s-1 during the spill period, the 200 km radius corresponds to a half-life of oil of about 248 1 week which seems reasonable, and is somewhat conservative compared to the half-life of 249 about 3 days due to, say, bacterial consumption (e.g. Camilli et al. 2010 and references 250 quoted therein; as pointed out by the editor, this estimate does not account for the possibility 13 251 that subsurface plume can surface; however, our model is hydrostatic and cannot correctly 252 simulate the rapid surfacing of plumes. In the northern Gulf (away from the Loop Current 253 and strong eddies), vertical motions in the model are typically only 1~10 m/day). Figure 7 254 shows that, as in the ensemble prediction (fig.2), most of the simulated drifters spread 255 north/northeastward during the spill period. During the early stage (17-31 of May; dark blue 256 in fig.7), modeled drifters were confined mainly to the northern shelf with little excursion to 257 the southeast as in the observed spreading. On the other hand, at later stages, for example 258 during the 1-15 Jul period (yellow), model correctly shows a west/northwestward spread of 259 drifters towards the Texas coast during the , which is also consistent with the wind being 260 predominantly from the east and southeast in July of 2010 (fig.1b). 261 south/southeastward spread, and this is again mostly confined to the east/northeastern face of 262 the Loop Current. The modeled velocity and SSH fields show that the reason that the spread 263 is mostly confined to the northern Gulf is because of the predominantly onshore currents 264 forced by the weak southerly winds, in agreements with our previous inferences based on the 265 ensemble results (fig.1). Another reason is that the Loop Current was not well-extended and 266 north of the Loop Current there was a cyclone which tended to produce north and 267 northwestward currents near the spill site. This is a scenario that most resembles Figs.5a,b in 268 the ensemble experiment. 269 14 There is also 270 4. Conclusions 271 During early stages (weeks), southerly and easterly winds typical of spring and early 272 summer tend to transport drifters onshore towards the northern Gulf coasts. Later (~ 2 273 months), stirrings by open-ocean eddies and currents south of the release site can entrain the 274 drifters south/southeastward following the eastern face of the Loop Current towards the 275 Straits of Florida. However, the small percentage of drifters that go around the tip of Florida 276 and move along the eastern continental slope are outside the certainty of the model estimate. 277 At subsurface, drifter trajectories are controlled by smaller-scale eddies (Oey, 2008) and 278 spread south/southwestward into the Gulf’s interior. 279 Winds play a major role in the surface trajectories. Winds from 21 Apr through mid- 280 June during the spill were more southerly and southwesterly than climatology (Fig.1, 281 compare NDBC 42040 with nearby stations). Therefore, in combination with a Loop Current 282 that was predominantly confined to the southern portion of the Gulf, and in the absence also 283 of strong eddies during the spill period of Apr-Jul 2010, the coastal regions east of the 284 Mississippi Delta would be more affected by the spill. This was confirmed by satellite 285 images. 286 We have shown that the ensemble prediction is accurate when compared with the 287 observed surveys of the actual spill, and is therefore a useful tool for oil-spill trajectory 288 predictions in future oil spills. We have further confirmed this conclusion using the actual 15 289 2010 analysis. We show that during the spill, the combination of more southerly winds, the 290 southward shift of the Loop Current away from the spill site and the existence of a cyclone 291 north of the Loop Current all contribute to the spill being confined predominantly over the 292 northern Gulf of Mexico. 293 16 294 ACKNOWLEDGEMENTS 295 We thank the reviewers and editor (Huijie Xue) for providing many useful comments. 296 Kirk Bryan initiated our interests in the ensemble analyses. We thank also Walter Johnson 297 and Alexis Lugo-Fernandez for their inputs. YLC received a fellowship from the Graduate 298 Student Study Abroad Program (NSC97-2917-I-003-103) of the National Science Council of 299 Taiwan. The model analysis data reported herein would not have been possible without years 300 of supports from BOEMRE. Computing was done at NOAA/GFDL, Princeton. 301 302 17 303 References 304 Awaji, T., N. Imasato and H. Kunishi (1980): Tidal exchange through a strait: A numerical 305 experiment using a simple model basin. J. Phys. Oceanogr., 10, 1499–1508. 306 Berntsen, J. and L.-Y. Oey, 2010: Estimation of the internal pressure gradient in σ-coordinate 307 ocean models: comparison of second-, fourth-, and sixth-order schemes. Ocean Dyn. 60, 308 317-330. DOI 10.1007/s10236-009-0245-y. 309 Camilli, R., C. Reddy, D. Yoerger, B. Van Mooy, J. Kinsey, C. McIntyre, S. Sylva, M. Jakuba, 310 J. Maloney, 2010: “Tracking Hydrocarbon Plume Transport and Biodegradation at 311 Deepwater Horizon.” Science, Vol. 329 No. 5994, August 19, 2010. 312 313 314 315 Chang,Y.-L. and L.-Y. Oey, 2010: Why can wind delay the shedding of Loop Current eddies? J. Phys. Oceanogr, 40, 2481-2495. Cochrane, J.D. and F.J. Kelley . 1986 . Low-frequency circulation on the Texas-Louisiana continental shelf. Journal of Geophysical Research. 91(C9) :10,645-10,659. 316 Csanady, G.T., 1983: Dispersal by randomly varying currents. J. Fluid Mech., 132, 375-394. 317 Craig, P. D., and M. L. Banner, 1994: Modeling wave-enhanced turbulence in the ocean 318 319 320 321 surface layer. J. Phys. Oceanogr., 24, 2546–2559. DeHaan, C., and W. Sturges, 2005: Deep Cyclonic Circulation in the Gulf of Mexico. J. Phys. Oceanogr., 35(10), 1801-1812. DiMarco, S.F., W.D. Nowlin Jr., and R.O. Reid, 2005: A statistical description of the 18 322 velocity fields from upper ocean drifters in the Gulf of Mexico. In “Circulation in the 323 Gulf of Mexico: Observations and Models,” W. Sturges, A. Lugo-Fernandez, Eds, 324 Geophysical Monograph Series, Vol.161, 360pp, 2005. 325 Ezer, T. and Mellor, G.L., 1994: Continuous assimilation of Geosat altimeter data into a 326 three-dimensional primitive equation Gulf Stream model. J. Phys. Oceanogr., 24(4): 327 832-847. 328 Ezer, T., L-Y. Oey, H-C. Lee, and W. Sturges, 2003: The variability of currents in the 329 Yucatan Channel: Analysis of results from a numerical ocean model. Journal of 330 Geophysical Research, 108(C1), 3012, 10.1029/2002JC001509. 331 Fan, S., Oey, L.-Y., and Hamilton, P., 2004. Assimilation of Drifter and Satellite Data in a 332 Model of the Northeastern Gulf of Mexico. Continental Shelf Research, 24(9), 1001- 333 1013. 334 335 336 337 338 339 340 Gutierrez de Velasco, G. and C. D. Winant, 1996. Seasonal patterns of a wind stress curl over the Gulf of Mexico. J. Geophys. Res., 101, 18127 - 18140. Hamilton, P., 2007: Deep current variability near the Sigsbee escarpment in the Gulf of Mexico. J. Phys. Oceanogr., 37, 708–726. Hamilton, P., 2009: Topographic Rossby waves in the Gulf of Mexico. Progress Oceanogr., 82,1-31. Kourafalou, V.H., L.-Y. Oey, J.D. Wang and T.N. Lee, 1996. The fate of river discharge on 19 341 the continental shelf. Part I: modeling the river plume and the inner-shelf coastal current. 342 J. Geophys. Res, 101(C2), 3415-3434. 343 344 345 346 347 348 Lin, X.-H., L.-Y. Oey and D.-P. Wang, 2006: Altimetry and drifter data assimilations of Loop Current and eddies. J. Geophys. Res. 112, C05046, doi:10.1029/2006JC 003779, 2007. Lugo-Fernández, A. and A. Badan, 2007: On the vorticity cycle of the Loop Current. J. Mar. Res. 65, 471-489. Mellor, G. L., and T. Yamada, 1982: Development of a turbulence closure model for geophysical fluid problems, Rev. Geophys., 20, 851– 875. 349 Mellor, G. L., 2002: User Guide for a Three-Dimensional, Primitive Equation, Numerical 350 Ocean Model (Jul/2002 Version), 42 pp., Atmos. & Oceanic Sci. Prog., Princeton Univ. 351 NJ, USA. (http://www.aos.princeton.edu/WWWPUBLIC/htdocs.pom/PubOnLine/POL. 352 html). 353 354 355 356 Mellor, G.L. and Ezer, T., 1991: A Gulf Stream model and an altimetry assimilation scheme. J. Geophys. Res, 96: 8779-8795. Mellor, G. L., M. A. Donelan, and L-Y. Oey, 2008: A surface wave model for coupling with numerical ocean circulation models. J.Atmos. Oceanic Tech., 25, 1785-1807. 357 Oey, L.-Y., 2008: Loop Current and Deep Eddies. J. Phys. Oceanogr. 38, 1426-1449. 358 Oey, L.-Y. and Lee, H.-C, 2002: Deep Eddy Energy and Topographic Rossby Waves in the 359 Gulf of Mexico. J. Phys. Oceanogr., 32(12):3499-3527. 20 360 361 Oey, L.-Y. and H.-C. Zhang, 2004. A mechanism for the generation of subsurface cyclones and jets. Cont. Shelf Res., 24, 2109-2131. 362 Oey L.-Y., T. Ezer and H.J. Lee, 2005a: Loop Current, Rings and Related Circulation in the 363 Gulf of Mexico: A Review of Numerical Models and Future Challenges. 364 “Circulation in the Gulf of Mexico: Observations and Models,” W. Sturges, A. Lugo- 365 Fernandez, Eds, Geophysical Monograph Series, Vol.161, 360pp, 2005. In 366 Oey L.-Y., T. Ezer, G. Forristall, C. Cooper, S. DiMarco, S. Fan, 2005b: An exercise in 367 forecasting loop current and eddy frontal positions in the Gulf of Mexico, Geophys. Res. 368 Lett., 32, L12611, doi:10.1029/2005GL023253. 369 370 371 372 373 Oey L.-Y., T. Ezer, D.-P. Wang, S. Fan and X.-Q. Yin, 2006: Loop Current warming by Hurricane Wilma, Geophys. Res. Lett. 33, L08613, doi:10.1029, 2006GL025873. Oey, L.-Y., T. Ezer, D.-P. Wang, X.-Q. Yin and S.-J. Fan, 2007: Hurricane-induced motions and interaction with ocean currents. Cont. Shelf Res. 27, 1249-1263. Oey, L.-Y., M. Inoue, R. Lai, X.-H. Lin, S. Welsh and L. Rouse Jr. 2008: Stalling of near- 374 inertial 375 doi:10.1029/2008GL034273. 376 377 waves in a cyclone. Geophys. Res. Lett., 35, L12604, Oey, L.-Y., Y.-L. Chang, Z.-B. Sun & X.-H. Lin, 2009: Topocaustics. Ocean Modelling, 29, 277-286. 21 378 379 380 381 Ohlmann, J. C., and P. P. Niiler, 2005: Circulation over the continental shelf in the northern Gulf of Mexico, Prog. Oceanogr., 64, 45 – 81. Sturges, W., and K.E. Kenyon, 2008: Mean flow in the Gulf of Mexico, J. Phys. Oceanogr., 38, 1501–1514. 382 Wang, D.-P. & L.-Y. Oey, 2008: Hindcast of Waves and Currents in Hurricane Katrina. 383 Bulletin of the American Meteorological Society (BAMS). DOI:10.1175/BAMS-89-4- 384 487. 385 Wang, D-P., L-Y. Oey, T. Ezer, and P. Hamilton, 2003: Near-surface currents in DeSoto 386 Canyon (1997–99): Comparison of current meters, satellite observation, and model 387 simulation. J. Phys. Oceanogr., 33(1), 313-326. 388 Wang, W., W. D. Nowlin, R. O. Reid, 1998: Analyzed Surface Meteorological Fields over 389 the Northwestern Gulf of Mexico for 1992–94: Mean, Seasonal, and Monthly Patterns. 390 Mon. Wea. Rev., 126, 2864–2883. 391 392 Yin, X.-Q. and L.-Y. Oey, 2007: Bred-ensemble ocean forecast of Loop Current and rings, Ocean Modelling, doi:10.1016/j.ocemod.2007.02.005. 393 22 394 395 396 397 398 399 400 401 Fig.1a. Wind-Roses at 11 indicated locations in the Gulf of Mexico: winds (vectors, m/s) and percentage occurrence (color) in 12 indicated directions in the Gulf of Mexico, ensemble averaged for 21 Apr-20 Jun period over 8 years from 2000-2007. Wind-rose at NDBC 42040 (location marked as a black dot) for the period 21 Apr-07 Jun 2010 is also included for comparison with the ensemble (see inset). Contours are 200m and 2000m isobaths. 23 402 403 404 405 Fig.1b. Mean wind velocities (vectors; scale in m/s shown on bottom of lower-right panel) and standard-deviations (ellipses and color background in m/s) for the month of April, May, 406 407 408 409 410 July and June (clockwise from top-left) for year 2000-2009 “wind climatology” from CCMP dataset (black vectors and ellipses) and for year 2010 (blue vectors and ellipses) from four NDBC buoy stations, from west to east: 42019 (-95.35,27.91), 42001 (-89.67,25.90; not available in April 2010), 42040 (-88.21,29.21) and 42036 (-84.52,28.50). On top of each panel, the maximum CCMP standard deviation (m/s) and lon/lat location are also shown. 24 411 412 413 414 415 416 417 418 Fig.2. Top panel: visitation or “hit” frequency (color, darkest red scale = 10%; number of times a location is visited as % of total releases = 480) for the drifter released once per day at the central (spill) site (88.39oW, 28.74oN) from 21 Apr-20 Jun and tracked for 60 days. The gray color indicates uncertainty spread as determined by regions visited by releases originating from the four grid points surrounding the central release site. Lower panel: residence time in days; larger values > 5 days are within a radius of 50~100 km near the spill 419 420 421 site. Note both color and grey scales are logarithmic. Contours are 200m and 2000m isobaths. 25 422 423 424 425 426 Figure 3 Barchart gives the percentages by states of simulated drifters that hit the northern Gulf coast on 20 June. The drifters were released from 21 Apr through 15 May. TX=Texas, LA=Louisiana, MI=Mississippi, AL=Alabama and FL=Florida. 26 427 428 429 430 431 432 Fig.4. Top panel: visitation frequency on 20 Jun at z = 800 m (color, darkest red scale = 10%) for releases from 21 Apr-20 Jun and tracked for the entire 60 days. Contours are 200m and 2000m isobaths. Bottom panel: variance ellipses and the corresponding mean velocity 433 434 435 vectors at z=-1000m from 3 ADCP’s near the spill site (‘+’), calculated for the period May through July 2010. Contours are 200m, 500m and 1000m isobaths. The ADCP data is from NDBC: http://www.ndbc.noaa.gov/maps/ADCP_WestGulf.shtml. 436 27 (B) (A) 437 (C) 438 439 440 441 442 443 Fig.5. Drifter tracks on 20 Jun, 15-day averaged wind vectors and Loop Current positions defined as the mean SSH = 0.1 m contour averaged from 21 Apr-20 Jun for (a) north/northeastward drifts in 2000, 2002 and 2003; (b) westward drifts in 2001, 2004 and 2007; and (c) south/ southeastward drifts in 2005 and 2006. Colors indicate years, and ‘other years’ in wind stick plots are gray. Drifters are continuously released at the spill site, 444 445 446 once per day for 15 days from 21 Apr-5 May, and are tracked until 20 Jun. Contours are 200m and 2000m isobaths. 28 447 448 449 450 451 Fig.6a,b Surveyed (dark shades; from aerial and satellite) and estimated (light shades; wind and ocean current estimates combined with aerial photography and satellite imagery) extents of oil on surface from NOAA. The dotted region is fishing ban, designated if oil were found 452 453 454 in the vicinity within the last few days. The Loop Current and eddies are schematic sketches based on satellite imagery. (a) 19 May, (b) 14 Jun, (c) 19 Jun & (d) 29 Jun, 2010. From http://www.nytimes.com/interactive/2010/05/01/us/20100501-oil-spill-tracker.html. 29 455 456 457 458 459 Fig.6c,d. 460 30 461 462 463 464 465 Fig.7 Top panel: Satellite derived surface oil analysis composite image from 17 May to 30 Jul; the different colors denote different 2-week periods: dark blue for 17-31 May, light blue for 1-15 Jun, green for 16-30 Jun, yellow for 1-15 Jul, and orange for 16-30 Jul. Bottom 466 467 468 panel: same composite calculated from simulated drifter trajectories superposed on the 17 May-30 Jul 2010 mean velocity (vectors) and SSH (color shading in meters showing positive SSH only). Contours show 200m and 2000m isobaths. 31