Photovoltaic Cells and Systems: 57-67 SQU Journal for Science, 16 (2011) © 2011 Sultan Qaboos University 57 Ground Radiometric Method as a Tool for Determining the Surface Boundary of a Buried Bauxitic Karst Kamal Kareem Ali*, Salih Muhammad Awadh and Jassim Muhammad Hemad Department of Earth Science, College of Science, University of Baghdad, Baghdad, Iraq, *Email : kkak1962@yahoo.com. المدفونة لحدود السطحية لخسفات البوكسايتفي تعيين ا األرضية شعاعيةاستخدام القياسات اإل و جاسم محمد حمد ضكمال كريم علي ، صالح محمد عو مسمماتاضخنمممكخيممتطشخمسممت يلشخاخيممط ختفمم خمتايممت خ مم خذ مم خخ9قياسممالخخل لةيممشخاعيممعاىيشخىلمم خ مم خخ42تممأخذ مم خ :خصص مل تمأخاسمت اأخم يماشخذيمعشخنمكختط يكخاخعتي خ)خاخج تاسيخاعسة (خ يخاخص تاءخاخغتتيمشخممكخاخعمتا خاخ سةاضخاخت طسايتيشخ تممأخ فليممالخخفيممانخاخ يمما خا يممعاىيخاخطلمميخ مميخاختتتممشخاخسمم يش خ اخمممد ختتلمم ت خي يمم خاخصمم ي أخ،غاممماخ أخذعتتمم خق مم اض خىي ماضخختاتيمشختمأخجمعمماخممكختتمتخا تتماتأخي تمت خاخمختا نما شخ،خجمعضخىي اضخممكخاختتتمشخاخسم يشخى م خطم خ ف مشخقيمان ت يمم خاخ مم خخ،تاخت طسممايضخاخ سممةيخطيممشغاممماخاخ يةيممش خاخممم شخاخممتتينخمممكخةمم خاخ تاسممشخةمم خختأيممعش للممضخخ،خاخ سممةش تي مماختتا مضخاخ لةيمشخخ،ىم خ قيفمشخ06-06خاخس يشخخل سةش ختتا حخاخ يا خا يعاىيخىل خسم خاخ سمةشخاخت طسمايتيشخممك ىم خ قيفمش خىمليماضخاختج يمشخاخطيميا يمشخ اصمشخا اتمشخخ150خ–خ100 يعاىيشخختط يكخاخعتيم خاخم أخي تنمكخاخ سمةشخممكخا سمة ختتعمالخخم خاخ ماكخةم خاخع اصمتخامتمدضخمكخصم تخاخغ ماءختاتجما خاعخ232- اخث تي أخ238خ- اخي شخ فلضخاخي تا ي أخ يممعاىي خسممتاخاغ مماءخةمم اخاخ مما ختاخ يمما خا أختفتيتمماخمممماخ5ىلمم خىممم خىلمم خاسمم خاخمعمما كخاخ ي يممشخ اخت طسممايضخاخممم كخ خمم خاخطمماكخ يمما ماخا يممعاىيخذقمم خمممكخمسممت خاخ لةيممشخخ،خمممكخاخع اصممتخاخميممعشخذصممت ضخصمم تخاخغ مماءخاخميمم شخ انممتش صم تخاخغ ماءخخ ميخ232- اخث تيم أخ238خ-يعاىيخخلي تا يم أكخقيأخاخ يا خا ذا يعاىيش ختيكخاخت لي خاخ يةيخعيعشخغاماخ ختيطممت خ خطغممأخ مميخاخت طسممايضخ تفممشخاخ مميكخاخةل تمميخىلمم خاختمم اخيخ260خ–خ240تيطممت خ خطغممأ خ مميخ مميكختلغممضخخ3خ–خ0.5 م ممماختممأخت يمم خق ممتخاخ سممةشخخ،خيممعا تسمممضخ تي ممشختسمما أخا خ،خيممعاىيخىلمم خاخسمم تاالىتممما خىلمم ختتممايكخاخيمم خا كخ تيفمشخقيمانخذأ ختتمتةكخاخ تاسمشخاخ اخيمشخخ200خ–خ150 اخ أختتا حخمكخخ،ق اعيعاىيخشخاخ أخيمث خاخي خا اخت طسايتي خخخ ج خاخ سةاضخاخت طسايتيشخ ت ي خ ةاخاخس يش طيشخىكخمةي خج الخخلخاعتنيشخيعاىيشاخ لةيشخا ABSTRACT: Forty two ground radiometric measurements along nine traverses within a rectangular network area were taken across a bauxitic karst within the Ubaid Formation (Lower Jurassic) in the Western Desert of Iraq. A 4-Channel Gamma Ray Spectrometer (GAD-6) with sodium iodide NaI (Tl) crystal (GSP-4S) was used in the field to measure the total radioactivity of the surface soil. Soil samples collected from the surface at each measurement point and core samples collected from a test well penetrating the karst were analyzed by Gamma ray spectrometer. The main objective of this study was to detect the hidden bauxitic karst and determine its surface boundary. The radioactivity on the surface of the karst was ranging between 60 and 80 count per second (c/s), while the background radioactivity of the Ubaid Formation, which hosts the karst, was ranging between 100 and150 c/s. Chemical weathering, KAMAL KAREEM ALI et al. 85 especially dissolution and leaching moved uranium ( 238 U) and thorium ( 232 Th) from the overburden downward. Accordingly, these elements have been adsorbed on the surface of clay minerals and bauxite buried at a depth of about 5m causing enrichment with radioactivity. The leached overburden lack radioelements, so its radioactivity was less than background radioactivity level. The gamma ray spectroanalysis showed that the radioactivity of 238 U and 232 Th in the overburden was 0.5 and 3 Bq/Kg, whereas, in the bauxite and flint clay bed, it was 240 and 160 Bq/Kg respectively. Based on the radioactivity anomaly contrast on the surface, an isorad map was plotted and the karst diameter which represents low anomaly was determined to be ranging from 150 to 200m. The current study demonstrates that the ground radiometric method is quite useful for detecting the bauxitic karst and inferring its surface boundaries. KEYWORDS: Radiation; Karst; Bauxite; Gamma ray; Ubaid formation; Isorad. 1. Introduction auxite comprising 55% alumina is the principal source of aluminum. From a geological point of view, bauxite is a residual rock that formed intermittently throughout much of the Earth’s history during periods of intense continental subaerial weathering. Bauxite deposits are usually classified according to their mineralogy, chemistry, and host-rock lithology (B’ardossy and Aleva, 1990). Of all known bauxite deposits, about 88% is of laterite type, 11.5% is of karst type, and the remaining 0.5% is of Tikhvin type (B’ardossy, 1995; B’ardossy and Aleva, 1990; Meyer, 2004). In 2001, bauxite was mined in 22 countries. The 12 largest producing countries account for about 97% of the world production (Plunkert, 2001); Australia is currently the largest producer, with about 53.3 million metric dry tons (Mt) of bauxite, followed by Guinea (15.7 Mt), Brazil (13.9 Mt), Jamaica (12.4 Mt), China (9.5 Mt), and India (8.39 Mt). The bauxite ore is red colored because of iron content (10–25%). It also contains various amounts of water and silica (Abbady and El-Arabi, 2006). In Iraq, karst bauxite was discovered in 1989 within the Ubaid Formation in the Western Desert between Wadi Hauran and Wadi Al-Hussainiyat (Figure 1). Sediments formed essentially from bauxite with minor karst-filling sediments were named later as the Nuwaifa Formation. Radiometric methods are used in the investigation of mineral deposits and ores in many parts of the world. Initially, radioactivity measurements in boreholes and airborne gamma spectrometry were used in petroleum exploration (Howell and Frosch, 1939; Lundberg et al. 1952; Kellogg, 1975). Darnley and Ford (1987) concluded that in many cases, the airborne gamma-ray spectrometry technique is probably more useful than any other single airborne geophysical or remote sensing technique for providing information directly interpretable in term of surface geology (Darnley and Ford, 1987). It is one of the most important methods that has been used as aid to geologic mapping (Darnley and Grasty, 1971; Kotel'nikov and Grigor'ev, 1972 ; Darnley, 1991; Shives, 1996; Rabie et al. 2000; Buccianti et al. 2009). Also, gamma ray measurements have been applied in investigation of mineral deposits (Constello and Norquay, 1967; Tixer and Alger, 1970; IAEA,2003)). In northern Canada, polymetallic mineralization was discovered using gamma-ray surveys (Charbonneau,1987; Gandhi et al. 1996). These surveys have resulted in exploration and production of significant Canadian deposit types that contain gold, cobalt, copper, bismuth and tungsten. Airborne gamma ray measurements were used for identifying serpentinized ultramafic rocks and associated soils in northern California which are characterized by high concentrations of Cr and Ni. Because ultramafic rocks and their soils are naturally lacking in radioelements, gamma-ray surveys can be used to produce quasi-geochemical maps that identify radiometrically deficient areas (Mc-Caffety and Van Gosen, 2009). Some other applications include underwater investigations. (Van Wijngaarden et al. 2002). Airborne gamma spectrometry surveys helped in exploring some bauxite deposits in Saudi Arabia (Al-Bassam and Mustafa, 1989). Also, there is some information about the radioactivity associated with bauxite deposits in Gant in Hungary, and Unterlaussa in Austria (Valeton, 1972). There is the chance of the B http://gsc.nrcan.gc.ca/gamma/ref_e.php#regional http://www.springerlink.com/content/?Author=G.+N.+Kotel'nikov http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=A.%20Buccianti&field=AU http://gsc.nrcan.gc.ca/gamma/ref_e.php#mazlake http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=B.S.%20Van%20Gosen&field=AU GROUND RADIOMETRIC METHOD 85 association of uranium and thorium with bauxite and clay deposits (Samama, 1984), depending on the similarity of the geochemical environment during the deposition, and on the behavior of these elements (Al-Atia, 1993). Figure 1. Location map showing the distribution of karsts and the study area in the Western Desert of Iraq. Airborne radiometric measurements carried out in Iraq with a traverse interval of 2 km did not yield any radioactive anomalies as the surface area of the karst ranges between 0.2 and 0.4 km on average, and 34 m to 105 m depth (Al-Rubaii, 1997). However, the present work aims to discuss the capability of the ground radiometric method in detecting the surface boundaries of buried karst containing bauxite and clay minerals in the Western Desert of Iraq. 2. The study area The study area is located in the middle of the Western Desert of Iraq near the crossing of Wadi Hauran and Wadi Hussainiyat. It is accurately determined with longitudes (41˚ 04′ 32″ - 41˚ 05′ 11″) and latitudes (33˚ 32′ 2″ - 33˚ 32′ 21″) (Figure 1). In the northwest of Wadi Hussainiyat, some sporadic karsts containing bauxite deposits (Mustafa et al. 1991) are scattered within dolomite of the Ubaid Formation (Lower Jurassic). The studied karst (Figure 2) has identification number 47 in the classification list that has been prepared by the Geological Survey and Mineral Investigation Company in Iraq (Al-Rubaii, 1997). KAMAL KAREEM ALI et al. 06 Figure 2. Simplified geological map showing Mesozoic and Tertiary formations exposed in the study area. 3. Geological setting 3.1 Geomorphology Valleys, hills, plateaus, pediments and karstification are the common features that can be seen in the study area. Wadi Huaran and Wadi Hussainiyat, which are seasonal valleys, are important valleys in the region surrounded by hills formed from dolomite and dolomitic limestone and are mostly covered with black quartzite because of the desert varnish (Buday and Hack, 1980). Two main plateaus exist; the first is the Ubaid plateau, which appears to be a rugged plateau characterized by exposures of yellow dolomite of the Ubaid Formation (L. Jurassic) and hosts most of the bauxitic karsts; and the second one is the Ghar plateau, which is a low rugged plateau formed essentially from conglomerates of the Ghar Formation (Miocene) covered with calcrete. Some of the bauxitic karsts are covered partially with the sediments of the Ghar Formation. 3.2 Lithostratigraphy Paleozoic, Triassic, Jurassic and Tertiary rocks are exposed in the Western Desert of Iraq. In the study area, the Paleozoic rocks are not exposed and are mainly covered with sedimentary rocks belonging to the Triassic, Jurassic and Tertiary ages (Figure 2). These formations are nearly horizontal, consisting mainly of carbonate and/or clastic rocks (Jassim and Goff, 2006). Several wadies have been filled with Quaternary deposits. A lithostratigraphic sequence could be described from oldest to youngest as in the Zor Hauran Formation (U. Triassic), which has a tidal to sub-tidal depositional environment composed of marl, marly dolomite, limestone, dolomitic limestone and with dolomite at the top (Buday and Hack, 1980). The Ubaid Formation (L. Jurassic) consists of chert interbededed with dolostone at the bottom; with light gray dolostone and greenish yellow shale containing secondary gypsum at the top of the formation. It conformably emplaces on GROUND RADIOMETRIC METHOD 06 Zor Hauran Formation representing the first sedimentary cycle of the Jurassic with an average thickness of 65m (Al-Mubarak, 1983). Karstification is the most important feature in the Ubaid Formation (Al-Rubaii, 1997). The Hussainiyat Formation (M. Jurassic) deposited unconformably on the Ubaid Formation when the tidal environment changed to the continental environment. It is composed of a clastic unit at the bottom of the formation, whereas the top is composed of limestone. The clastic unit is comprised of sand, silt, kaolinite and iron oxide, which indicates a fluviatile environment (Jassim and Goff, 2006). Figure 3. Sketch diagram of karst showing the stratigraphic column, vertical and horizontal dimensions without scale. 4. The nature of karst According to Sweeting (1972) two features of karst are observed in the Western Desert of Iraq; the first is sink holes, which belong to the active karstification system, whereas the second feature is fossil karsts, which belong to the buried karstification system. The current study was conducted on buried karst. Chemical weathering of run-off water and ground water is considered an important factor forming karst in a humid climate. Karsts appear to be contemporaneously filled with sediments during karstification. The stratigraphic column in the studied karst could be described lithologicaly from the bottom to the top as sand, bauxitic clay and flint clay, sandy clay, red clay and soil (Al-Rubaii,1997) (Figure 3). Sand appears to be unconsolidated white sand fining upward with an average thickness of 3 m. Flint clay has a white to gray color with an average thickness of 8 m characterized by concoidal fractures containing kaolinite mixed with organic matters and pyrite surrounded by bauxitic clay. Bauxite existes as hard lenses within flint clay characterized by pisolitic texture. Sandy clay, red clay with soil representes the overburden of bauxite ore. Sand Soil Red clay Sandy clay Ubaid Formation Bauxite and Flint KAMAL KAREEM ALI et al. 06 5. Materials and methods Total radioactivity measurements were recorded at the surface of the probable buried karst in the region. Nine traverses, including forty two measurement points (Figure 4) were achieved with a portable GAD-6 NaI(Tl) scintillation counter (Sintrex, Canada). Readings were recorded in counts per second (c/s) after 300 second at each location. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 50 100 150 200 250 300 350 400 450 Distance (m) 0 50 100 150 200 250 300 350 400 450 500 550 D is ta n c e ( m ) Figure 4. Network measurements on the surface of the probable karst. Soil samples were collected from the surface soil at each measurement point, as well as the core samples that were collected from the test well (SM77, KARST 47). The nature and mineralogy of the core samples were identified according to the field observations (Al-Rubaii, 1997). Samples were overnight dried at 100˚C, crushed, sieved through a 1 mm mesh sieve and analyzed for Uranium ( 238 U), Thorium ( 232 Th) and Potassium ( 40 K) using a gamma spectrometric system based on a pure germanium detector with an efficiency of 40% (Tennelec, USA) attached to an 8192-channel personal computer analyzer. The activity concentrations of 238 U, 232 Th and 40 K were determined with the computer code GDR-4 (Nucleus, USA). Merinelli beaker geometry was used for the measurements. The energy and efficiency of measurement was calibrated by Europium-152 ( 152 Eu, IAEA, Vienna) standard source. Positional data were recorded using a portable GPS receiver. GROUND RADIOMETRIC METHOD 06 6. Results and discussion The total radioactivity count rates in the study area range from 57 to 147 cps (Table 1). It was recorded as 60 to 90 cps in the central part of the study area (probable karst), while the background radiation was 100 -150 cps (Ali, 2004; Ali and Al- Sheikh, 2009) in the surrounding area and the Ubaid Formation, which hosts the bauxite karsts. An isorad map of the total radioactivity measurements at the surface of the studied area was plotted (Figure 5). Since the surface radiometric measurements reflect the radioactivity of the top few meters of the soil (not more than three meters), the map in Figure 5 obviously exhibits the radioactivity on the surface of karst as depleted level in comparison with the background radiation of the areas surrounding the karst (Ubaid Formation). The continuous chemical washing of the sediments at the surface of the karst caused leaching alkalis and some elements downward (Millot, 1970). The humid climate that was prevalent during Jurassic time participated in activation of chemical weathering; dissolution and washing of overburden moved Uranium, thorium, potassium and rubidium with alkalis downward producing an overburden depleted with radioelements, especially uranium and thorium, whereas the buried sediments filled the karst enriched with radioelements due to adsorption of those radionuclides (U and Th) by clay minerals and bauxite deposits. 0 50 100 150 200 250 300 350 400 0 50 100 150 200 250 300 350 400 450 500 50 60 70 80 90 100 110 120 130 140 150 R a d io a c ti v it y ( c p s ) Surface distance (m) S u rf a c e d is ta n c e ( m ) Figure 5. Isorad map plotted from data in Table 1, displaying the depletion of radioactivity at the overburden of karst (the blue color), and illustrates the estimated boundary of the karst by contour line of 90 cps. KAMAL KAREEM ALI et al. 06 This mechanism led to accumulating the radioactive materials within clay beds, flint and bauxite at a depth of more than 5m which can’t be detected by the portable gamma ray spectrometer (Eisenbud and Gesell, 1997), while the washed overburden remained with radioactivity less than the background radiation in comparison with the surrounded area. Table 1. Total radioactivity in the studied area. Radioactivity total count (cps) Measurement point no. Radioactivity total count (cps) Measurement point no. 110 22 147 1 115 23 135 2 140 24 141 3 88 25 143 4 94 26 138 5 98 27 139 6 110 28 65 7 146 29 97 8 100 30 125 9 96 31 140 10 105 32 60 11 130 33 60 12 118 34 102 13 100 35 118 14 100 36 145 15 110 37 57 16 123 38 96 17 117 39 115 18 120 40 138 19 118 41 68 20 119 42 68 21 57 - 147 Range According to the scale of Figure 5 the surface diameter of the karst is estimated to be about 150 to 200 m. These results were supported by results of the gamma spectral analysis which have been done on the surface soil samples and the core samples collected from well penetrating the karst (Table 2). The results showed, that the radioactivity of 238 U and 232 Th in the surface soil is as low as 0.5 Bq/kg and 3 Bq/kg respectively at the surface of the karst, while the average radioactivity of 238 U, 232 Th and 40 K in soil surface and rock samples of the Ubaid formation outside the karst were 33 Bq/kg, 26 Bq/kg and 359 Bq/kg respectively. On the other hand, the radioactivity of 238 U and 232 Th in bauxite and flint clay at depth more than 5 m of the karst center is higher, and reaches up to 240 Bq/kg and 160 Bq/kg respectively. This case is interpreted as that the source rock including radioelements were washed and leached from the high lands of the older formations such as the Gaara Fotmation (Permocarboniferous) which have a relatively high concentration of radioelements (Ali, 2004; Ali and Al- Sheikh, 2009). Then, these were accumulated in the low lands at the first stage and filled the karsts. The continuous washing and leaching of the surface soil introduced karsts with overburden depleting in radioelements. The leached elements were accumulated within GROUND RADIOMETRIC METHOD 08 the clay and bauxitic beds at depth of more than 5 m. It is believed that the Ga'ara Formation outcroping to the west of the study area is the main source rocks that has supplied radioactive elements to younger formations (Ali, 2004; Ali and Al- Sheikh, 2009). The regional background radiation of the area, represented by the Ubaid Formation and other lower Jurassic formations, is between 100 and 150 cps. The radioactivity concentration of the different lithologies within the karst are illustrated in Figure 6. Soil has a finite capacity to adsorb potassium (Chrestopher et al. 2007). Concentration of 40 K in the surface soil was higher than of its concentration in the others beds of the test well, but it was lower than its concentration in the soil and rock samples collected from the Ubaid Formation which was found to be 359Bq/kg in average (Table 2). On the other hand, 238 U and 232 Th have low radioactivity in the surface soil, while they have higher radioactivity in the deeper beds (red clay, sandy clay, flint and sand) within the karst (Figure 3). 0 50 100 150 200 250 R a d io a c ti v it y ( B q /K g ) 40K 238U 232Th Radioactive elements Soil Red clay Sandy clay Flint Sand Figure 6. Radioactivity concentration of selected core samples from the test well within the studied karst. Table 2. Total radioactivity (cps) and radioactivity of 238 U, 232 Th and 40 K in selected samples of the test well penetrating the karst and the average(av.) radioactivity in samples selected from the Ubaid formation(host rock). Sample type Depth (m) Total Radioactivity (cps) Radioactivity (Bq/Kg) 40 K 238 U 232 Th Soil 0 - 5.0 80 194 0.5 3 Red clay 5.0 - 20.0 130 150 90 11 Sandy clay 20.0 - 23.5 130 89 85 50 Flint 23.5 - 25.0 115 0.5 240 160 Sand 25.0 - 26.6 90 41 61 14 Ubaid Formation Surface 116 (av.) 359 (av.) 33(av.) 26(av.) The radioelements U-238 and Th-232 were leached from the overburden (soil) leaving it poor with radioactivity. Thereafter these elements are accumulated in the clay beds and flint so they have relatively high concentrations as shown in the histogram (Table 2) and (Figure 6). KAMAL KAREEM ALI et al. 00 7. Conclusion From the results obtained from this study, it can be concluded that the ground radiometric survey coupled with gamma ray spectroanalysis technique can be considered as an effective technique in preliminary studies to detect mineral deposits especially those deposits containing radioelements. This study confirms that the detailed ground radioactivity measurements technique is one of the important methods and a successful technique for providing useful information in the investigation of clay and bauxite deposits. Accordingly, also this technique has enough capability in determining the surface boundary of the bauxites karst and its dimensions. 8. References ABBADY, A.G.E and El-ARABI, A.M., 2006. Naturally occurring radioactive material from the aluminium industry, a case study: the Egyptian Aluminium Company, Nag Hammady, Egypt, J. Radiol. Prot., 26 (1): 415-422. Al-ATIA, M.J., 1993. 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Third Decennial International Conference on Geophysical and Geochemical http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=A.%20Buccianti&field=AU http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=C.%20Apollaro&field=AU http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=A.%20Bloise&field=AU http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=R.%20De%20Rosa&field=AU http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=G.%20Falcone&field=AU http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=F.%20Scarciglia&field=AU http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=A.%20Tallarico&field=AU http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=G.%20Vecchio&field=AU GROUND RADIOMETRIC METHOD 06 Exploration for Minerals and Groundwater. 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TIXER, M.J. and ALGER, R.P., 1970. Log evaluation of nonmetallic mineral deposits: Geophysics, 35: 124- 142. VALETON, I., 1972. Bauxites, Vol. 1: Developments in Soil Science, Elsevier, New York. VAN WIJNGAARDEN, M., VENEMA, L.B., DE MEIJER, R.J., ZWOLSMAN, J.J.G., VAN, O.B. and GIESKE, B., 2002. Radiometric sand-mud characterization in the Rhine–Meuse estuary Part A. Geomorphology. 43: 87-101. Received: 29 January 2011 Accepted: 12 October 2011 http://www.springerlink.com/content/?Author=G.+N.+Kotel'nikov http://www.springerlink.com/content/?Author=V.+V.+Grigor'ev http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=A.E.%20McCafferty&field=AU http://journals2.scholarsportal.info.proxy.lib.uwaterloo.ca/search-advanced.xqy?q=B.S.%20Van%20Gosen&field=AU