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Recharge–Discharge Relations of Groundwater in Volcanic Terrain of Semi-Humid Tropical Highlands of Ethiopia: The Case of Infranz Springs, in the Upper Blue Nile

: The major springs in the Infranz catchment are a significant source of water for Bahir Dar City and nearby villages, while sustaining the Infranz River and the downstream wetlands. The aim of the research was to understand the hydrogeological conditions of these high-discharge springs and the recharge–discharge relations in the Infranz catchment. The Infranz catchment is covered by highly pervious and young quaternary volcanic rocks, consisting of blocky, fractured, and strongly vesicular scoriaceous basalt. At the surface, these rocks crop out as lineaments forming ridges, delimiting closed depressions in which water accumulates during the rainy season without causing surface runoff. Geology and geomorphology thus combine to produce very favorable conditions for groundwater recharge. Three groundwater recharge methods were applied to estimate groundwater recharge and the results were compared. Groundwater recharge was calculated to be 30% to 51% of rainfall. Rapid replenishment raises the groundwater level during the rainfall period, followed by a rapid decline during the dry season. Shallow local flow paths discharge at seasonal springs and streams, while more regional and deeper flow systems downstream sustain the high-discharge springs and perennial Infranz River. The uptake of 75% of spring water for the water supply of Bahir Dar City, local extraction for domestic and small-scale irrigation use from springs, rivers and hand-dug wells, encroaching farming, and overgrazing are exacerbating wetland degradation.


Introduction
Groundwater is the major source of fresh water across the globe where human and ecological communities depend on it [1]. Sometimes groundwater can become critical to survival when surface water resources run dry during a severe drought. The dynamics, mainly recharge-discharge conditions of groundwater, are essential for the sustainable use of groundwater which affects groundwater-dependent streams, wetlands, and ecosystems [2]. The recharge-discharge mechanism of groundwater highly differs from place to place and depends on different variables. Groundwater occurrence and dynamics in Ethiopia, specifically in the Tana basin, are complex, which is attributed to assess the hydrological system of the catchment. The demand to quantify groundwater replenishment to the aquifer system is increasing and has become crucial for water resource management.
In this study, three recharge estimation methods-chloride mass balance (CMB), soil water balance (SWB), and water table fluctuation (WTF) have been used to estimate the groundwater recharge of Infranz catchment. The purpose of this study was to assess groundwater recharge-discharge conditions in volcanic rock formations with particular emphasis on young Quaternary highly vesicular basalt, and to understand the hydrogeological settings of the major springs of the Infranz catchment. Finally, the development of a conceptual groundwater flow model is also an important objective.

Location and Climate of the Study Area
The Infranz catchment is part of the Lake Tana basin in north-eastern Ethiopia, Amhara region. The catchment is situated to the south of Lake Tana, which is known as the source of the Blue Nile. The climate of the Lake Tana basin is categorized as a temperate climate. However, some parts are sub-tropical to sub-afro-alpine. The rainfall season mainly extends from June to September. The annual average precipitation of Bahir Dar area is estimated at 1415 mm. The air temperature varies from place to place, with an annual average of about 20 °C [27]. At Bahir Dar Station (which is the nearest meteorological station to the study area), the annual daily maximum temperature is about 27 °C, while the daily minimum is 13 °C.

Geology and Hydrogeology of the Study Area
The Lake Tana basin, in which the study area is situated, comprises three types of geologic units: (1) Trap Series (Oligocene to Miocene) volcanic flows and edifices mainly found in the highlands and escarpments. The Trap Series geologic unit encompasses Ashange, Aiba, Alaje, and Tarmaber basalt; (2) Quaternary basalt locally found in the lowlands of the basin (old Quaternary and recent Quaternary), and occurring to the south of the lake particularly, including the Infranz catchment; and (3) Quaternary sediments that comprise alluvial lake deposits that are found in the floodplain of major rivers and at the shore of Lake Tana [25,[28][29][30][31].
The geology of the Infranz catchment was studied in detail by field mapping during several campaigns between 2013 and 2018. The geology was linked to the specific landscape of the catchment, as observed in the field (documented by photographs) and on Google Earth. A geological crosssection has been established.
The recent Quaternary lava flows form vesicular and highly pervious basalts, attributing a high hydraulic conductivity to them. This can even be increased at the surface by slight weathering, as observed in the field. This hydrogeologic unit comprises two types of porosity: primary porosity, which is related to the vesicles, and secondary porosity, which is related to the fractures and fissures. In this formation, large and small volcanic tubes are common. This contributes relatively high transmissivity and storage capacity to the formation. Generally, the transmissivity of Quaternary basalts is high and varies from 100-200 m 2 /day [32]. Most of the boreholes drilled in the recent Quaternary basalt unit mainly yield more than 20 l/s [19].
A group of important springs is emerging from this recent Quaternary basalt in the Infranz catchment ( Figure 1). The discharges of the Areke and Lomi springs are estimated by [13] to be 210 l/s and 90 l/s, respectively. The Tikur wuha spring discharges more than 40 l/s [19]; the Infranz twin springs have a discharge of more than 60 l/s [19]. In addition to these high-discharge springs, there are other low discharges and intermittent springs emerging in the same formation.
The occurrences and appearances of the springs are assumed to be linked to the contact with the underlying old Quaternary basalt and less pervious Tertiary rhyolitic formations that are mapped in the spring area [24].
The Infranz wetland is found immediately downstream from the springs and stretches to the river mouth at Lake Tana. This wetland is formed by groundwater seepage and outflows of water from springs before joining the Infranz River and is sustained by the river discharge. However, this wetland is becoming degraded as it is drying up, due to most of the spring water being taken away, leading to encroaching farming and overgrazing.
Since groundwater recharge is from the entire catchment, the water chemistry may be influenced by activities in the whole catchment area. The concentration of specific constituents of the water chemistry is also influenced by the length of the flow path or residence time in contact with the various rock types, along with anthropogenic activities.
The geological setting of the Infranz catchment was assessed based on drilling descriptions and field observations. This information was included in the geological map. The hydrogeological conditions of the springs and wetlands were deduced on this basis, and are presented in a crosssection, showing the conceptual model of groundwater flow in the catchment.

Data Collection
To understand the hydrologic situation and sources of water for the wetland, different field campaigns were conducted in and around the Infranz catchment. The field trips were performed in 2013 and 2015 to 2018 in all seasons: the dry season, (February to May), slightly wet season (September to January), and wet season (June to August). While conducting the fieldwork, spring inventories were set up in accessible areas. Monitoring wells were selected based on accessibility, geology, and physiography. Key informant interviews with local people were undertaken by questioning them about the wetland, stream and spring conditions, and how the wetland conditions are changing with time, and if they have observed informal encroaching farming affecting the wetland system. In different field campaigns, we tried to explore the intermittent streams upstream and perennial streams downstream with reference to the emerging point of the high-discharge springs (Areke, Lomi, Tikur Wuha, and Infranz) and the change of spring discharge with time. The first author was part of the group involved in a wetland restoration study conducted in 2012. During repeated field works, hand-dug wells were dug to study the interaction of the wetlands and the shallow groundwater. On the basis of field observations of geology and geomorphology, informant interviews, and existing geological and hydrogeological maps and interpretation of Google Earth satellite images, we tried to investigate the hydrological system of the catchment. The riverine system of the Infranz catchment was investigated and the sources of water in the river system and wetlands were studied. Based on these field observations, the geological map of the area was compiled, as a prerequisite for understanding groundwater recharge in the specific conditions of the Infranz catchment, which are in contrast to the regional conditions of Tana basin.
Meteorological data from 2012-2016 have been collected from Bahir Dar Meteorological Station, which is a first-order meteorological station providing minimum and maximum temperature, wind speed, relative humidity, and sunshine hours. These data were used to estimate groundwater recharge by using three methods.
Groundwater samples in the catchment and rainwater samples (in and around the catchment) were collected in different years (from 2015-2016) to determine chloride concentration. Water samples for chemical analysis were collected in clean polyethene bottles and the bottles were rinsed three times with the sample water before being filled. The analysis of the water samples was carried out at the water chemistry lab of the Laboratory for Applied Geology and Hydrogeology, Ghent University, Belgium. The limit of detection of chloride concentration was 0.1 mg/l. Before using the water chemistry data, we tested the ionic balance of the major ions, and the error on the ionic balance is less than 5%.

Groundwater Flow System and Groundwater Level Monitoring
Three groundwater flow systems were identified in a small basin: local, intermediate, and regional [33]. The groundwater system of a basin is mainly influenced by soil type, hydrology, hydrogeological condition, and topography in recharge areas (upland areas) and discharge areas, such as wetlands, springs, and rivers. Physical observations related to natural groundwater flow and well logging data were used to infer the local and regional flow of the catchment scale. On this basis, we tried to outline the local and regional flow lines in the Infranz catchment.
To understand the groundwater flow system of the Infranz catchment, shallow groundwaterlevel measurements were conducted in eight community-owned hand-dug wells. The measurement was conducted weekly and, occasionally, bi-weekly between 10/05/2016-6/03/2017 by electric sensor water level meters. The monitoring wells were selected based on the hydrogeomorphic and geologic situation and accessibility ( Figure 1).

Groundwater Recharge Estimation
Groundwater recharge is defined as the downward movement of water reaching the water table, joining to the groundwater reservoir [4][5][6]34,35]. Even though there is an evident uncertainty with current recharge estimation methods, accurate recharge estimation is still important [36,37] in water resources studies. To estimate groundwater recharge, three commonly used and globally accepted estimation techniques were applied to increase the reliability of the estimation and the results were compared. Each method is explained in detail in the following sub-sections.

Groundwater Recharge Estimation by Chloride Mass Balance (CMB) Method
The chloride mass mass-balance method was developed by [38]. It compares chloride in precipitation with chloride in groundwater, in which recharge from precipitation is the only source of chloride [39]. The increased chloride in groundwater is attributed to evapo-concentration. To calculate the chloride mass balance for recharge estimation, water samples were collected from springs and rainwater. With the assumptions that chloride is a conservative tracer, that the source of chloride ions in the soil zone or groundwater is from precipitation, and that no recycling or concentration of chloride within the aquifer occurs [36], it is possible to use the following formula to estimate a spatially averaged recharge flux to the aquifer [8,[36][37][38][39]: where P is the mean annual effective precipitation in mm (annual precipitation-surface runoff), R is total annual recharge (mm), Clp is the mean chloride concentration in precipitation (mg/l), and Clgw is the chloride concentration in shallow groundwater (mg/l). The chloride ion is used in chemical recharge studies because of its conservative nature, not being leached from or adsorbed by the soil [39]. Groundwater recharge to the regional system was estimated based on chloride concentration of eight rainwater samples and 18 groundwater samples. The low chloride concentrations found in the sampled springs provide confidence in the absence of other sources of chloride.
Chloride concentrations from eight rainfall samples and 18 groundwater samples, all taken in 2015/2016, were used. The groundwater samples were fairly distributed spatially, and the rainfall was sampled at different months of the rainy season to account for the possible temporal variation of rainfall composition.

Groundwater Recharge Estimation by Soil Moisture Balance (SMB) Method
Estimation of recharge in a variety of climatic conditions is possible using a daily soil moisture balance based on a single soil store [40]. The method was first developed by [41] and later was applied for estimating the groundwater recharge of different studies (e.g., [40,[42][43][44][45][46]).
In this method, groundwater recharge is calculated on a daily time scale by the following formula: where ∆SM is the difference between soil moisture content (SM) of the calculated and preceding day, which is zero if the moisture content remains at field capacity, i.e., SM on both days would be equal to the plant available water (PAW) value, usually in the wet season. P, PET and Runoff are the daily precipitation, potential evapotranspiration, and overland flow, respectively. The PET is estimated using the meteorological data of the nearby Bahir Dar Meteorological Station. The Penman-Monteith formula modified by [47] was used to calculate daily PET. Precipitation data of the Bahir Dar Meteorological Station were used. There was no river discharge monitoring station on the Infranz River. Hence, the surface runoff was estimated based on expert judgement, i.e., by taking the geological, topographical, and human activity factors into account. The PAW was estimated using the hydraulic properties calculator (SPAW) computer program developed by USDA and Washington State University in cooperation in 2006, and later revised in April 2019. In addition, the table of [41] reporting PAW values for different possible land use and soil combinations was consulted for refining the estimated value.

Groundwater Recharge Estimation by Water Table Fluctuation (WTF) Method
Groundwater recharge estimation based on groundwater level data is among the most widely applied techniques [48]. The method has been applied by many researchers (e.g., [46,[48][49][50]). The effectiveness of the technique highly depends on how close the assumptions of the method are met, and how accurate the estimation of the specific yield is. The principle behind the WTF method is that the water level rise is caused only by precipitation. The WTF method works well with the assumption that the aquifer shows sharp water level rises and declines, respectively, for the presence and absence of precipitation. The aquifer system needs to be unconfined with a shallow water table, otherwise it may not display sharp rises because wetting fronts tend to disperse over long distances [48]. The influence of pumping is null so that the fluctuations are only attributed to rainfall events.
The groundwater recharge is calculated by the following formula: where ∆h = the head change through the recharging period; = is the specific yield, and ∆ = is the recharging time period.

Geology of the Infranz Catchment
In the Infranz catchment, the Tertiary volcanics are largely covered by Quaternary volcanics, particularly by young Quaternary volcanic rocks ( Figure 2). The Alaji formation, part of the Tertiary Trap Series formation, is exposed near to the major springs area. This formation mainly consists of flood basalts associated with rhyolite and subordinate trachyte plugs that contain transitional to tholeiitic basalts [24]. Rhyolite was outcropping near the major springs area. The Tertiary volcanics have relatively modest average permeability. The old Quaternary volcanic rock is exposed in the eastern part of the catchment at the Meshenti area. It consists of olivine basalts and subordinate phonolitic lavas and it covers much of the southern Tana basin [51], as cited in [52]. The aphanitic basalt is dark grey to black, fine-grained, and compacted rock. The old Quaternary basalt is mainly composed of 60% plagioclase, 30% pyroxene, 8% opaque minerals, and 2% olivine [24].
The young Quaternary volcanic rocks in the Infranz catchment are characterized as scoriaceous basalt flows: dark gray to greenish-gray, strongly vesicular to scoriaceous, porphyritic olivine, pyroxene-plagioclase, zeolite-rich phyric, thin basalt flows. They are mainly composed of 50% plagioclase, 20% pyroxene, 15% opaque minerals, and 15% olivine [24]. They are scarcely weathered and it is possible to recognize the original "pahoehoe" and "aa" lava flow structures.
The basalts are highly vesicular, with rounded to elongated vesicles, filled, in most cases, by zeolites, calcite, quartz, or chalcedony amygdales of up to 6 cm diameter, that show strong alignment or elongation parallel to the flow layering ( Figure 3). They show narrow to large volcanic tubes as observed around the springs at outcrop and cuts from quarries in the Merawi area. Scoria cones are also associated with this rock unit (Figure 4).  The Quaternary basalts are highly jointed and fractured, forming blocky to ball-shaped vesicular flows, commonly known as pillow lava (Figure 4), flowing out of fissures. The joints and fractures develop during cooling. They are vertical to sub-vertical with dominant N-S direction, while two subsidiary sets are orientated NE-SW and NW-SE. The dominant N-S orientated joints are manifestations of the regional fault direction (extension of the N-S orientated Tana graben), which A defines the weakness direction along which the basaltic lava flows likely erupted through fissures. The interconnection of the vesicles combined with fractures developed in the unit, as well as its inherent scoriaceous nature, result in high porosity and permeability along with vesicles, joints, and fractures.
Most parts of this young Quaternary volcanic rock unit form a gently undulating plain, with a typical landscape of closed depressions surrounded by the lineaments of blocky fractured rocks ( Figure 4A). This is clearly visible on Google Earth ( Figure 4B). The depressions are covered by thin alluvial deposits whereas the blocky fractured bare rock lineaments surround the depressions. The geomorphology causes a collection of water in the closed depressions during the rainy season, preventing surface run-off and favoring infiltration to the groundwater

Springs Occurrence and Relationship with the Wetland System
The surface geology of the area is made up of highly porous and permeable vesicular basalt, which has scoriaceous contact zones of individual local lava flows. This provides access to conduits for rapid local and regional (at catchment scale) flow. The five major springs, along with other smaller springs which are situated approximately 8 km west of Bahir Dar, discharge from these vesicular and highly fractured basalts. On one hand, intermittent springs and wetlands can be observed, whereas on the other hand, high-discharge springs and the perennial river occur, as shown in Figure 5. Streams upstream of the major spring zone show low flows and run dry during the dry season. Wetlands upstream of the major spring zone are also seasonal, becoming dry in the dry season.
From the conducted field work and random interviews with local people (2013 and 2015 to 2018), it was clear that some streams, seepage zones, and some of the low discharge springs are drying up in the dry season, though these are the sources of water to wetlands during the wet season, and that these conditions have worsened with time. The water withdrawal from the high-discharge springs results in reduced outflow to the downstream wetlands and lower flow in downstream Infranz River to the lake. The local people also confirmed that before the extraction of water for water supply (2002), the wetland was sustained throughout the year, especially around the high-discharge springs, with no access possible for farming nor grazing. It was assessed by [53] that the areal coverage of the Infranz wetlands had decreased to 34% in the year 2011. They confirmed, as we have witnessed, that the wetlands now become dry in the dry season and this encourages local farmers to encroach the wetland with farming ( Figure 5).

Groundwater Level Monitoring
The aquifer storage is affected by the addition or extraction of water from the aquifer. This, in turn, causes groundwater level fluctuations. Figure 6 shows the response of shallow groundwater to precipitation. During the rainfall months (June, July, and August), the water level rises and reaches a maximum level in July. All the wells instantaneously respond to the start of the rainfall period due to rapid recharge and reaching the maximum in July, staying somewhat constant till halfway through September, where they then start to drop at the end of the rainfall period ( Figure 6). The small peak ( Figure 6) in the month of February is related to limited rainfall in winter, which is not very common in the area. During the dry season, the water table has a relatively large depth in the upstream sections at high elevation (reaching down to 15 m depth in the most upstream Well 1), while depth is smaller in downstream wells (around 2 m depth in most downstream Well 4). This is due to elevation variations. The rise during the rainy season is the largest in the upstream sections, reaching 8 m amplitude in Well 1 while being restricted in downstream sections (less than 2 m amplitude in Well 6). In the rainy season, the water level may reach up to the surface in the downstream part (overflowing in Well 6), while in most upstream, well 1, the water table is still at 7 m depth. The steep rise in the upstream wells indicates fast and important groundwater recharge. This increases the volume of water stored in the aquifer. The recession is also relatively steep in the higher parts due to groundwater draining from elevated to lowland areas due to gradient variations, which decreases the groundwater storage from the aquifer. Wells in the lowlands show minimum fluctuations and stay almost stable throughout the year.

Groundwater Recharge from Chloride Mass Balance (CMB) Method
The rainfall in Bahir Dar shows chloride concentrations varying from <0.1 mg/l to 4 mg/l whereas the concentrations of the high-discharge spring water samples vary from 0.3 mg/l to 12.5 mg/L. For the calculation of recharge by the CMB method, we used the average concentration of the rainwater samples (~ 1.8 mg/L) and groundwater samples (~ 6.1 mg/L). Chloride concentrations from eight rainfall samples and eighteen groundwater samples, all taken in 2015/2016, were used. The groundwater samples were fairly distributed spatially, and the rainfall was sampled at different months of the rainy season to account for the possible temporal variation of rainfall composition. The correlation between nitrate and chloride was checked beforehand to eliminate pollution, and they were not correlated (Figure 7). This provides confidence that chloride in the groundwater is from rainfall only, and that the CMB method is applicable. The mean value of Cl concentration in rainfall (4.6 mg/L) in Abu Delige in Sudan [54] is higher than the mean value of Cl in precipitation of our study area (the former location being near to the coast) but comparable with the mean value (2.88 mg/L) found at Sahl, Senegal [55]. The mean of Cl from rainfall samples from Addis Ababa is about 0.95 mg/l [8], which might be due to the location being far from the coast and with low atmospheric dust. Yearly precipitation from Bahir Dar Meteorological Station is 1467 mm (based on the measuring period 2012-2016). The area is typically characterized by many closed depressions floored and surrounded by the highly permeable open jointed basaltic rocks, with a very thin soil covering some of the depressions' floors. The slope is generally flat to very gentle in between the low ridges of blocky volcanic rocks, where the closed depressions collect the rainwater, and ponding during the wet season may occur. The land use is predominantly bush and shrub type, with a small part of agricultural land. Considering all these physical characteristics of the catchment, we concluded that the surface runoff following rainfall events is negligible, and hence the runoff is set to 0 mm. The effective precipitation is 1467 mm/year. With these values, the recharge is estimated using CMB to be 436 mm/year or about 30% of the annual rainfall. With the approximate surface area of the catchment (~ 200 km 2 ), this results in recharge of 87.2 * 10 6 m 3 or ~ 2,765 l/s. This is approximately the total groundwater recharge in the entire catchment based on the CMB method. The high-discharge springs are then discharging about 14% of this total recharge. Even if the recharge was only 10% of rainfall (minimum estimate of [56] instead of 30%, the recharge would still largely exceed discharge of all perennial springs approximately by 400 l/s. The groundwater recharge was also estimated in a nearby area (Dangila district) by using different recharge estimation methods [57], and results were found ranging between 280-430 mm/year [58]. Based on hydrograph separation, [26] we estimated an average annual recharge of 195.6 mm over the entire Lake Tana basin. Another study undertaken east of the Infranz catchment, in the Rib catchment, estimated groundwater recharge to be 154 mm/year based on the CMB method.

Groundwater Recharge from Soil Moisture Balance (SMB) Method
The daily PET is calculated starting from January 2012 to January 2016 using the Penman-Monteith formula. The daily average value was 4.06 mm/day. The daily rainfall depth recorded at the Bahir Dar Meteorological Station for the same period was used; it has a mean annual value of 1467 mm.
The runoff percentage (surface runoff over precipitation) is one of the input factors of the SMB method and is set to 0. The hydraulic properties calculator (SPAW computer program) supported with the table in [41], in which PAW values for land use and soil combinations are compiled, is used to deduce PAW; a value of 200 mm was adopted. Since the rainfall season is preceded by a long dry period, the thin soil covering the area would be close to dry. Therefore, the initial soil moisture content (which has very small control over the calculated annual recharge value) is set to 0.5 mm.
The mean annual recharge calculated for the five years (2012-2016) with SMB method amounts to 748 mm, or 51% of rainfall. In other words, 150 *10 6 m 3 of water is annually recharging the whole Infranz river catchment. The high-discharge springs only discharge some 8% of this total recharge. Groundwater recharge is mostly taking place during the main rainy season (Figure 8), while the yearly rainfall is consumed by the plants to satisfy their evapotranspiration and growth demand and to bring soil moisture content up to field capacity. The annual actual evapotranspiration is 638 mm, which is 56% of annual potential evapotranspiration and 42% of yearly rainfall.

Groundwater Recharge Estimation by Water Table Fluctuation (WTF) Method
Based on hydrogeochemical and isotopic hydrological data, previous studies on the Lake Tana basin show that there is no/limited groundwater-lake water interaction [20,21]. Recharge is expected to be dominant in the upstream reaches. Therefore, the groundwater rise in the most upstream well (Well 1) was considered. The seasonal rise of the water table in this well was observed to be 8 m, for the yearly recharge period. Appropriate values of specific yield are difficult to assess for magmatic rocks [59]. The values of specific yield for the volcanic aquifers of Jeju Island was found to be mostly lying within the range of 5%-10% [60]. This range is similar to the range reported by [57] and [61] for mafic to intermediate volcanic aquifers. Using this range allows us to express uncertainty [59]. With this range of specific yield values, we obtained recharge values between 400 and 800 mm/year, corresponding to the range covered by recharge obtained with the SMB and CMB methods.
Groundwater recharge was estimated elsewhere in the central and northern highlands of Ethiopia, where the study area is situated, by the water balance method, discharge analysis, and chloride mass balance method at about 10%-20% [56]. A similar study by [8] in a tropical highland climate in central Ethiopia using the CMB method estimated the groundwater recharge at 25% of the annual effective precipitation. The high values ranging from 33% to 51% we found in this study are due to the specific geological conditions of the Infranz catchment, with the highly vesicular and fractured scoriaceous young Quaternary basalts, and the typical geomorphology with the closed depressions surrounded by the low basalt ridges. Figure 9 shows the results of the three different recharge calculating methods. Recharge estimated by SMB is higher than the other two methods (CMB and WTF). The reason for this could be that SMB calculates potential recharge without considering the limit of aquifer storage, whereas both of the other methods calculate the 'actual recharge'. The lower part of the Infranz catchment is expected to be storage controlled (because of water table near to ground surface) rather than precipitation controlled.

Conceptual Hydrologic/Hydrogeologic Model and Sources of Recharge to the Springs
The conceptual hydrogeologic model was developed to infer the groundwater flow system and to indicate sources of water for seasonal springs and high-discharge springs. This model was developed based on the integration of geological, geomorphological, hydro(geo)logical, and hydrochemical observations. The sources of water for the most upstream part of the Infranz River are multiple low-discharge and seasonal springs. The major sources of water for the Infranz river, however, are the Areke, Lomi, Tikur Wuha, and twin Infranz high-discharge springs. The area downstream and occasionally upstream from the high-discharge springs is rich with wetlands ( Figure 5). The undulating surface, which is a characteristic of the area, also governs the surface water and local seepage flows.
From lithologic logs of drilled boreholes, a geological study [24], and field observations, less permeable Tertiary rhyolite has been identified under the recent Quaternary volcanics. This indicates that the older Quaternary basalt pinches out and the Tertiary Formation, consisting of less permeable rhyolite, appears immediately underneath the recent Quaternary volcanics (Figure 10). The spring occurrences are thought to be linked to geological and geomorphological features: the Tertiary rhyolite, which is less pervious than the overlying Quaternary basalts together with the local topographic slope break, is perching up the groundwater, resulting in contact springs. Based on topography and geologic data, a geologic cross-section was developed in a S-N direction, in which the potential groundwater flow lines are represented ( Figure 9). As was shown by [15], based on chemical and isotopic data of a larger study area, comprising the Infranz catchment, the springs are locally recharged. As can be inferred from the cross-section in Figure 10 and from the geological map in Figure 2, the low-permeable Tertiary volcanics are outcropping in the area downstream of the major springs and are underlying in the wetland area. It is clear that the wetlands are mainly sustained by these springs. Based on the above principle, the local and sub-regional (at catchment scale) flow lines are outlined as indicated in Figure 10. The local flow lines (blue short arrows) discharge at seasonal springs/seepages that are influenced by climatic effects and become dry in the dry season and sources of water for seasonal springs, whereas the regional flow lines (long arrows in Figure 10) are less affected by climatic variables and are sources of water for perennial and highdischarge springs, the river, and wetlands.
All collected data concerning springs, streams, wetlands, and their persistence and discharges, groundwater levels, and well discharges and recharge, were integrated to draw conclusions on how the hydrological system is functioning. Figure 10. Schematic conceptual model of groundwater flow and circulation in the Infranz catchment, Lake Tana basin (location of cross-section A-A1 in Figure 2).

Conclusions
The schematic cross-section and flow lines in the conceptual model show that the springs emerge from the highly pervious young Quaternary basaltic formation, at the point of contact with the underlying lower-permeability Tertiary volcanic rocks. Local shallow flow systems discharge into seasonal springs and stream, while a regional flow system (within the Infranz catchment) sustains the high-discharge springs and downstream perennial Infranz River. The recharge area of these highdischarge springs covers the whole catchment. The specific geological conditions of the Infranz catchment, along with the highly vesicular and fractured scoriaceous young Quaternary basalts, and the typical geomorphology with the closed depressions surrounded by the low basalt ridges, create favorable conditions for high groundwater recharge. It was deduced by employing CMB, SMB, and WTF methods that 436-748 mm/year or 30%-51% of annual rainfall is recharging the groundwater. The comparable results may show the effectiveness of the methods for estimating recharge in specific geological, hydrogeological, geomorphological, and hydro-climatic areas. The range of the values is attributed to the possible uncertainties that are pertinent to some deviation from assumptions of each method, measurement errors, and spatial heterogeneity. The high-discharge springs are discharging about 8%-13% of this total recharge. Recharge over the catchment is thus more than sufficient to sustain the high-discharge springs. These exceptionally high recharge percentages may be expected in other areas with comparable geology and geomorphology for the fieldwork conducted from 2015-2018 and data analysis. Last but not least thanks to Mr Wubneh Belete, who provided GIS shapefiles of the project area.