An interplanetary origin of great geomagnetic storms: Multiple magnetic clouds Yuming Wang, Pinzhong Ye, Shui Wang School of Earth and Space Sci., Univ. of Sci. and Tech. of China, Hefei, Anhui 230026, China E-mail: wym@mail.ustc.edu.cn Abstract An event of multiple magnetic cloud (Multi-MC) in interplanetary space on March 31, 2001, which caused the largest geomagnetic storm with Dst = − 387 nT during the 23th solar maximum (2000−2001), is studied. By analyzing the data from the ACE spacecraft, we described the characteristics of magnetic fields and plasma within this Multi-MC at 1 AU. We also identify its solar sources, coronal mass ejections (CMEs), by utilizing the observations from the Solar and Heliospheric Observatory (SOHO) and the GOES satellite. In this instance, the Multi-MC became more geoeffective with the extraordinary enhanced southward magnetic fields, and largely extended the duration of the Dst storm. The observations and the theoretical analysis reveal that the strength of the magnetic fields including the southward component increased several times due to the compression between the sub-clouds in the Multi-MC, and therefore intensified the corresponding geoeffectiveness. Thus, we suggest that the compression between the sub-clouds of Multi-MC should be a mechanism in causing great geomagnetic storms. In addition, we found that the CMEs, which formed the Multi-MC, seemed not to originate from the same solar region. 1 Introduction Geomagnetic storm is primarily defined by the enhanced ring current which produces a magnetic field disturbance on the Earth. It was found that solar wind speed (V), south-directed interplanetary magnetic field (Bs), and duration of the Bs (∆T) have greatest effects on causing geomagnetic storms[1] – [6]. Magnetic reconnection is proposed as the prime energy transfer mechanism for the creation of geomagnetic storms during Bs events[7] – [9]. Magnetic clouds (MCs), which are the interplanetary structures associated with enhanced magnetic fields strength, long and smooth rotation of the magnetic fields vector and low proton temperature[10], have been thought one of the major sources of strong southward interplanetary magnetic fields, for example the Bastille event occurred on July 14, 2001[11]. Due to MCs' comparatively regular fields, flux rope model has been developed to describe the properties of MCs[12] – [15]. As another cause of strong Bs in interplanetary space, the combination of draping and compression of the ambient southward interplanetary magnetic field produced by shock or high-density plasmoid should be noticed[16] – [18]. By study five great geomagnetic storms, Tsurutani et al.[19] concluded that precursor southward fields ahead of the high speed streams allow the shock compression mechanism to be particularly geoeffective. The upstream southward field is compressed at the shock leading to intense Bs which causes the onset of the great geomagnetic storms. The stronger the shock is, the greater is the compression ratio of the downstream to upstream field value. In their five cases, three storms were caused by shock compression of preexisting southward fields and the other two were produced by fields within clouds. Recently, Wang et al.[20] found that shock is able to propagate in low β cloud, compress the southward magnetic field of the cloud, and form large Bs event, which will causes large geomagnetic storm. In this paper, we suggest another probable mechanism in causing great geomagnetic storms (Dst ≤ -200 nT) by studying an event of multiple magnetic cloud (Multi-MC). Multi-MC is formed due to the overtaking of a serial of clouds[21]. It is similar to the complex ejecta[22], which usually originated from several CMEs. But such complex ejecta is of non-geoeffectiveness with irregular magnetic fields. The Multi-MC can be divided into several parts. In each part, the interplanetary parameters are primarily satisfied with the criteria of MC. Therefore, there is relatively regular field in a Multi-MC, and geomagnetic storm can be expected commonly. 2 The Multi-MC on March 31, 2001 associated with a great geomagnetic storm 2.1 ACE observations A complex interplanetary structure passing Earth was observed by the ACE spacecraft on 31 March 2001 (Fig. 1). The structure began at 0020 UT on Mar. 31 with two leading shocks in the front part. Shock one (S1) arrived at 0020 UT and the other (S2) arrived at 0150 UT. The corresponding sheath fields were separated into two regions: SH1 and SH2 (as seen in the first panel of Fig. 1). The fields of SH1 were compressed largely due to the interaction between the two shocks. At S1, magnetic field strength increased from ~ 10 nT to ~ 60 nT. The strength of this sheath fields reached to a maximum value B = 73 nT. In the rear of SH1, magnitude of field dropped. At S2, the field strength increased again due to the shock compression. In the rear of SH2, the field directed southward, which lasted more than 1 hour, and its peak value was -36 nT. Figure 1 Observations by the ACE spacecraft from 1200 UT March 30 to 1200 UT April 1, 2001. From top to bottom are plotted: magnetic field strength B, the elevation θ and azimuthal φ angles of the field direction, z component field B z, solar wind speed V, proton density N, the proton temperature Tp, the ratio of thermal press to magnetic press β, the density ratio of He++ to proton Nα/Np, and geomagnetic index Dst. From 0505 UT to 2138 UT, there is the complex ejecta itself. The corresponding ratio of the density of He++ to the density of proton was relatively high (~ 0.1), which indicated the presence of ejecta from the corona[23 – 25]. As denoted by dot-dashed lines in figure 1, we separated the complex ejecta into three parts. The first part (I) began at 0505 UT and ended at 1015 UT. It was satisfied with all of the characteristics of typical MC basically. In part I, the magnetic field was enhanced and the peak value of B was about 49 nT. It largely exceeded the ambient field. The orientation of magnetic field rotated from south to north smoothly and largely. Relative to the borders, the proton temperature (Tp) was lower in Part I. Especially the ratio of thermal pressure to magnetic pressure (β) was less than 0.1 approximately, which was consistent with the previous observations of clouds (β ≈ 0.06±0.04)[22], [26]. Therefore, we considered that part I was a magnetic cloud (MC1). Similarly, the third part (III) was also considered an MC (MC2), which began at 1234 UT and ended at 2138 UT. In this part, the magnetic field strength reached to 41 nT, and the duration of Bs ≥ 10 nT was more than 6 hours. Tp was not as low as in the typical cloud, but β was also lower than 0.1 roughly. Maybe the compression between the clouds made the enhancement of the proton temperature. The second part (II) corresponded to the interacting region between these two clouds. In this interacting region, the field strength reached to minimum, and β increased again with peak value > 1.0 (as marked by circle in the eighth panel of Fig. 1). In MC1, the solar wind speed did not decrease continuously. In the rear part of MC1, the solar wind speed increased again that indicates the compression of MC2 with MC1. Hence, we believe that part I, II and III constructed a Multi-MC. Moreover, we thought that the shock S2 was associated with the second cloud. It penetrated through the first cloud and was merging with the first shock S1. The merger of shocks has been discussed in previous work[27]. There was another ejecta following this Multi-MC. Its shock (S3) arrived at 2138 UT, just behind MC2. The magnetic field strength in the ejecta was smaller and the interaction of the ejecta with the preceding Multi-MC was weak comparably, so we excluded it from studying the complex structure. 2.2 The corresponding CMEs The analysis of spacecraft data reveals that MCs are a well-defined subset of coronal mass ejections (CMEs)[28]. Almost half of all ejecta are MCs[29], [30]. According to the data from Large Angle Spectroscopic Coronagraph (LASCO) and Extreme Ultraviolet Imaging Telescope (EIT) onboard of Solar and Heliospheric Observatory (SOHO), we could find out the corresponding solar sources, CMEs, of the Multi-MC. Here, we also refer to the ‘CME catalog' (see http://cdaw.gsfc.nasa.gov/CME_list/) to choose the candidates. Generally, halo or semi-halo CMEs are considered moving toward or away from the Earth[31] – [33]. If their associated solar activities may be observed on the frontside of the solar surface, such CMEs are Earth-directed certainly. Within five days before the arrival of the Multi-MC at 1 AU, i.e., from 26 to 30 Mar. 2001, only three halo CMEs were observed (Figure 2). Figure 2 Running-difference images of these three halo CMEs observed by LASCO/C2 (top) and EIT195Å (bottom). Some observations were listed in Table 1. The first halo CME was visible in LASCO/C2 at 0127 UT on 28 Mar. 2001. The projected initial speed was about 427 km/s averagely. EIT 195Ǻ showed several activities on solar surface around the occurrence of the CME. Thus there was ambiguity in identifying the CME's source region. According to the observations from GOES about X-ray flares, we tentatively considered that the CME was associated with a C5.6 X-ray flare which erupted from AR9401 (N20E22) at 0129 UT. The second halo CME was visible in C2 at 1250 UT on the same day. The initial speed was about 519 km/s averagely. EIT 195Ǻ showed an activity in AR9393. Meanwhile, an M4.3 X-ray flare beginning at 1121 UT was observed in the same region (N18E02) by GOES. The last halo CME was visible in C2 at 1026 UT on 29 Mar. 2001. The projected initial speed was about 942 km/s averagely. EIT 195Ǻ observed an activity associated with a X1.7 X-ray beginning at 0957 UT from AR9393 (N20W19). Hence, these three halo CMEs were all Earth-directed and could be detected at Earth. Table 1 No. Date Timea 1 Mar. 28 2 3 The corresponding halo CMEs Speedb (km/s) Locationc Flare 0127 427 N20E22 ? C5.6 ? AR9401 Mar. 28 1250 519 N18E02 M4.3 AR9393 Mar. 29 1026 942 N20W19 X1.7 AR9393 (UT) a The first appearance in view of LASCO/C2. b CMEs’ projected speed. c Location of associated solar flare. d Solar active region. ARd The interval of the first two CMEs’ initiation was 11.38 hours, and that of the last two CMEs was 21.60 hours. If their projected speeds were representative of the speeds along the Sun-Earth direction, the second CME was moving faster than the first one. Therefore, it could overtake the earlier one and form a Multi-MC as well as observed by ACE. On the other hand, slow CMEs accelerate when moving outward and fast CMEs decelerate[34]. The speeds of CMEs are distributed within a narrow range at 1 AU. Thus, although the last halo CME's initial speed was much larger than the others, it seems to just catch up with the preceding CME because of the too long delay after the second CME's initiation and the probable deceleration in interplanetary space. It did not interact with the early MC sufficiently yet at 1 AU. That was why the shock S3 observed by ACE still stayed behind the MC2. Summarily, the first two halo CMEs were responsible for the Multi-MC, and the last halo CME was corresponding to the ejecta following the Multi-MC. 2.3 Geoeffectiveness In MC1, the maximum value of magnetic field Bs was 48 nT and the duration, ∆T, was nearly 3 hours with Bs ≥ 10 nT. In MC2, the maximum value of Bs was 37 nT approximately and ∆T was more than 6 hours. Analyze the corresponding Dst index data, we found there was a great geomagnetic storm with two major Dst peaks (as seen in the last panel of Fig. 1). The onset of the storm was at 0300 UT on Mar. 31, caused by the southward field located at the tail of SH2 (marked by unfilled triangle in the fourth panel). Under the effect of the Bs in the first cloud, Dst value reached the first peak (−387 nT) at 0900 UT. The second Dst peak (−284 nT) was found at 2200 UT, which was produced by the Bs of second cloud obviously. Since the rate of the occurrence of CMEs is high during the solar maximum, the Multi-MC structure in the interplanetary medium is common relatively. Only from March to April 2001, there are three cases of Multi-MCs (March 3 – 5, March 31 and April 11 – 13, also refer to Wang et al.[35] work) observed near the Earth. Meanwhile, there are totally 5 intense geomagnetic storms with Dst ≤ -100 nT, among which there are three great storms with Dst ≤ -200 nT. Two of these three great storms with Dst peak values of -387 nT and -271 nT are caused by the Multi-MCs on March 31 and April 11 – 13, respectively. Thus, Multi-MC is one kind of the interplanetary origin of great geomagnetic storms. 3 Discussion The great geomagnetic storms with peak Dst ≤ −200 nT are infrequent. Even during this solar maximum (from 2000 to 2001 approximately), there were only 8 great geomagnetic storms with Dst ≤ −200 nT. Especially, the geomagnetic storm produced by this event was the largest one among these great storms. Thus, it is valuable to analyze this event and find out the corresponding interplanetary cause. In causing intense geomagnetic storms, there are three major factors: plasma speed (V), southward component of interplanetary magnetic fields (Bs), and duration of Bs (∆T). As for intense storms with peak Dst ≤ −100 nT, Gonzalez and Tsurutani[36] suggested threshold values of Bs ≥ 10 nT and ∆T ≥ 3 hours. Under effect of magnetic reconnection between interplanetary magnetic fields and the Earth's magnetosphere, a great amount of energy can be transferred into the magnetosphere from solar wind if there is sufficient long duration of Bs. Hence, single MC may produce major geomagnetic storm due to the combination of its Bs field and long duration ∆T, for example the some large events occurred from Aug. 1978 to Dec. 1979[17], [36]. Not like to single MC, much stronger Bs is pivotal, for the case mentioned in this paper, to cause great geomagnetic storm. According to the statistical study, the size of MC is 0.28 AU averagely with speed of 450 km/s approximately[10], [37]. Therefore, a typical MC usually lasts for 25 hours when passing the Earth. The first cloud of this multi-MC began at 0505 UT and ended at 1015 UT that only lasted for 5.2 hours. A large compressed degree (25/5.2 = 4.8 times) of the cloud may be estimated. Assume a flux rope could be described by force-free model, we could obtain that magnetic field strength is inverse proportional to the square of its radius according to the conservation of axial magnetic flux[12], [14]. Thus, the magnetic field strength of an MC would increase when it was compressed. Inside the first sub-cloud of this Multi-MC, B value should increase to 4.82=23.0 times of original value theoretically with 4.8 compressed degrees. In fact, the increment of magnetic fields strength should be not such large if the interaction, such as penetration, reconnection, and so on, between the sub-clouds are considered. Certainly, we believe that the extraordinary enhancement of B was existence indeed and the corresponding Bs value also increased, which strengthened the clouds' geoeffectiveness. The combination of field draping and shock compression are another major interplanetary cause of great geomagnetic storms by forming strong interplanetary B s interval[16], [19]. Compared with them, the Multi-MC also presents very large Bs interval due to the compression. However, the difference is that the former is formed by fast overtaking shock and the latter is formed by interaction of clouds. In this event, the second cloud overtook the first one and compressed it, that caused the greatest Dst peak. Further more, the existence of the second cloud largely extended the duration of Dst storm. Based on the flux rope model[21], the geoeffectiveness of Multi-MC can be further understood. Figure 3 and 4 show the simplest Multi-MC structure consisting of two uniform magnetic clouds in the ecliptic plane (left) and the configuration of its magnetic field (right). For the case of two sub-clouds with the same rotation (Fig. 3), the z-component magnetic field fluctuates two times with the polarity of S-N-S-N or N-S-N-S (S and N denote southward and northward respectively). The middle two extreme values are both smaller than the other two. For the case of two sub-clouds with the opposite rotation (Fig. 4), the configuration of magnetic field is very different from the former. Within the Multi-MC, there is a large and wide peak or trough. The polarity is S-N-S or N-S-N. Obviously, the N-S-N Multi-MC should be the most geoeffective in theory, whereas the geoeffectiveness of S-N-S Multi-MC should be the smallest. What we analyzed is the simplest cases, and in fact, the situation will be much more complicated. For example, the axes of sub-clouds may orientate to any direction, the number of sub-clouds may be more, and their magnetic field strength may vary. Although Multi-MC is one kind of interplanetary origin of great geomagnetic storms, not all of Multi-MCs can produce large geomagnetic storms. Figure 3 Schematic picture of a Multi-MC consisting of two uniform magnetic clouds with the same rotation in the ecliptic plane. Figure 4 Schematic picture of a Multi-MC consisting of two uniform magnetic clouds with the opposite rotation in the ecliptic plane. Here, by the analysis of an example of Multi-MC, we suggest that the overtaking between sub-clouds of Multi-MC should be a probable mechanism in causing great geomagnetic storms. In addition, the identification of the Multi-MC’s solar sources implies that the corresponding CMEs are not necessary to originate from the same solar active region. Since magnetic cloud is a very large-scale structure, and its diameter can reach 0.28 AU approximately at 1 AU, the CMEs originating from different regions still may form Multi-MC as long as - 8 -they move in the same direction roughly. How to predict the occurrence of Multi-MC and its geoeffectiveness? Is every Multi-MC definitely more geoeffective than isolated magnetic cloud? These are all unanswered questions and need further study to recover. Acknowledgment We acknowledge the use of the data from the ACE, SOHO, GOES spacecraft and the Dst index from World Data Center. This work is supported by the National Natural Science Foundation of China (49834030), the State Ministry of Science and Technology of China (G2000078405), and the Chinese Academy of Sciences (KZCX2-SW-136). References [1] Snyder, C. W., M. Neugebauer, and V. R. Rao, The solar wind velocity and its correlation with solar and geomagnetic activity, J. Geophys. Res., 68, 6361, 1963. [2] Fairfield, D. H., and L. J. Cahill, Transition region magnetic field and polar magnetic disturbances, J. Geophys. Res., 71, 155, 1966. [3] Akasofu, S. -I., Energy coupling between the solar wind and the magnetosphere, Space Sci. Rev., 28, 121, 1981. [4] Smith, E. J., J. A. Slavin, R. D. Zwickl, and S. J. Bame, Shocks and storm sudden commencements, in Solar Wind-Magnetoshpere Coupling, edited by Y. Kamide and J. A. Slavin, pp. 345-365, Terra Scientific, Tokyo, 1986. [5] Gonzalez, W. D., J. A. Joselyn, Y. Kamide, H. W. Kroehl, G. Rostoker, B. T. Tsurutani, and V. M. Vasyliunas, What is a geomagnetic storms?, J. Geophys. Res., 99, 5771, 1994. [6] Zhou, G. –C, X. –Y. Wang, D. –J. Wang, J. –B. Cao, and C. –L. Cai, MeV electron-flux enhancement events at the geosynchronous orbit in April – May 1998, Chinese J. Geophys., 44, 293, 2001. [7] Dungey, J. R. Interplanetary magnetic field and auroral zones, Phys. Rev. Lett., 6, 47, 1961. [8] Gonzalez, W. D., B. T. Tsurutani, A. L. C. Gonzalez, E. J. Smith, F. Tang, and S. I. Akasofu, Solar wind-magnetosphere coupling during intense magnetic storms (1978-1979), J. Geophys. Res., 94, 8835, 1989. [9] Lu, wensong, and Wenyao Xu, On solar wind-magnetosphere energy coupling during north IMF, Chinese J. Geophys., 39, 577-587, 1996. [10] Burlaga, L., E. Sittler, F. Mariani, and R. Schwenn, Magnetic loop behind an interplanetary shock: Voyager, Helios, and IMP 8 Observations, J. Geophys. Res., 86, 6673, 1981. [11] Lepping, R. P., D. B. Berdichevsky, L. F. Burlaga, A. J. Lazarus, J. Kasper, M. D. Desch, C. -C. Wu, D. V. Reames, H. J. Singer, C. W. Smith, and K. L. Ackerson, The bastille magnetic clouds and upstream shocks: near-Earth interplanetary observations, Sol. Phys., 204, 287-305, 2001. [12] Burlaga, L. F., Magnetic clouds and force-free fields with constant alpha, J. Geophys. Res., 93, 7217, 1988 . [13] Chen, J., Effects of toroidal forces in current loops embedded in a background plasma, Astrophys. J., 338, 453, 1989. [14] Kumar, A., and D. M. Rust, Interplanetary magnetic clouds, helicity conservation, and current-core flux-ropes, J. Geophys. Res., 101, 15667, 1996. [15] Hidalgo, M. A., C. Cid, J. Medina, and A. F. Vinas, A new model for the topology of magnetic clouds in the solar wind, Sol. Phys., 194, 165-174, 2000. [16] Gosling, J. T., and D. J. McComas, Field line draping about fast coronal mass ejecta: a source of strong out-of-the-ecliptic interplanetary magnetic fields, Geophys. Res. Lett., 14, 355-358, 1987. [17] Tsurutani, B. T., W. D. Gonzalez, F. Tang, S. I. Akasofu, and E. J. Smith, Origin of interplanetary southward magnetic fields responsible for major magnetic storms near solar maximum (1978 1979), J. Geophys. Res., 93, 8519-8531, 1988. [18] Liu, Shaoliang, and Liwen Li, Study on relationship between southward IMF events and geomagnetic storms, Chinese J. Geophys., 45, 297-304, 2002. [19] Tsurutani, B. T., W. D. Gonzalez, F. Tang, and Y. T. Lee, Great magnetic storms, Geophys. Res. Lett., 19, 73, 1992. [20] Wang, Y. M., P. Z. Ye, S. Wang, and X. H. Xue, An interplanetary cause of large geomagnetic storms: Fast forward shock overtaking preceding magnetic cloud, Geophys. Res. Lett., 30(13), 1700, 2003. [21] Wang, Y. M., S. Wang, and P. Z. Ye, Multiple magnetic clouds in interplanetary space, Sol. Phys., 211, 333-344, 2002. [22] Burlaga, L. F., R. M. Skoug, C. W. Smith, D. F. Webb, T. H. Zurbuchen, and A. Reinard, Fast ejecta during the ascending phase of solar cycle 23: ACE observations, 1998-1999, J. Geophys. Res., 106, 20957-20977, 2001. [23] Hirshberg, J., S. J. Bame, and E. E. Robbins, Solar flares and helium enrichments, Solar Phys., 23, 467, 1972. [24] Ogilvie, K. W., and J. Hirshberg, Solar-cycle variation of solar-wind helium abundance, J. Geophys. Res., 79(31), 4595-4602, 1974. [25] Neugebauer, M., Observations of solar wind helium, Fundamentals of Cosmic Physics, 7, 131, 1981. [26] Farrugia, C. J., L. F. Burlaga, V. A. Osherovich, I. G. Richardson, M. P. Freeman, R. P. Lepping, and A. J. Lazarus, A study of an expanding interplanetary magnetic cloud and its interaction with the Earth's magnetosphere: the interplanetary aspect, J. Geophys. Res., 98, 7621, 1993. [27] Burlaga, L. F., K. W. Behannon, and L. W. Klein, Compound stream, magnetic clouds, and major geomagnetic storms, J. Geophys. Res., 92, 5725, 1987. [28] Wilson, R. M., and E. Hildner, Are interplanetary magnetic clouds manifestations of coronal transients at 1 AU?, Sol. Phys., 91, 168, 1984. [29] Gosling, J. T., S. J. McComas, J. L. Phillips, and S. J. Bame, Counterstreaming solar wind halo electron events: Solar-cycle variations, J. Geophys. Res., 97, 6531-6535, 1992. [30] Cane, H. V., I. G. Richardson, and G. Wibberenz, Helios 1 and 2 observations of particle decreases, ejecta, and magnetic clouds, J. Geophys. Res., 102, 7075-7086, 1997. [31] Hudson, H. S., J. R. Lemen, O. C. St. Cyr, A. C. Sterling, and D. F. Webb, X-ray coronal changes during CMEs, Geophys. Res. Lett., 25, 2481-2484, 1998. [32] Webb, D. F., E. W. Cliver, N. U. Crooker, O. C. St. Cyr, and B. J. Thompson, Relationship of halo coronal mass ejections, magnetic clouds, and magnetic storms, J. Geophys. Res., 105, 7491-7508, 2000. [33] St. Cyr, O. C., R. A. Howard, N. R. Sheeley Jr., S. P. Plunkett, D. J. Michels, S. E. Paswaters, M. J. Koomen, G. M. Simnett, B. J. Thompson, J. B. Gurman, R. Schwenn, D. F. Webb, E. Hildner, and P. L. Lamy, Properties of coronal mass ejections: SOHO LASCO observations from January 1996 to June 1998, J. Geophys. Res., 105, 18169-18185, 2000. [34] Gopalswamy, N., A. Lara, R. P. Lepping, M. L. Kaiser, D. Berdichevsky, and O. C. St. Cyr, Interplanetary Acceleration of Coronal Mass Ejections, Geophys. Res. Lett., 27, 145-148, 2000. [35] Wang, Y. M., P. Z. Ye, and S. Wang, Multiple magnetic clouds: Several examples during March – April 2001, J. Geophys. Res., 108(A10), 1370, 2003. [36] Gonzalez, W. D., and B. T. Tsurutani, Criteria of interplanetary parameters causing intense magnetic storms (Dst < -100nT), Planet. Space Sci., 35, 1101, 1987. [37] Lepping, R. P., J. A. Jones, and L. F. Burlaga, Magnetic field structure of interplanetary magnetic clouds at 1 AU, J. Geophys. Res., 95, 11957, 1990.