Next Article in Journal
Spatiotemporal Variability of Groundwater Quality for Irrigation: A Case Study in Mimoso Alluvial Valley, Semiarid Region of Brazil
Previous Article in Journal
Filling the Gap: Explaining Foreign Participation in China’s Water PPP Projects from a Local Government Perspective
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

The Role of the Heterogeneity of Volcanic Aquifer Properties in Assessing Sustainable Well Yield: Study Cases from Latium (Central Italy)

Department of Ecological and Biological Sciences, Tuscia University, 01100 Viterbo, Italy
*
Author to whom correspondence should be addressed.
Water 2025, 17(3), 409; https://doi.org/10.3390/w17030409
Submission received: 28 December 2024 / Revised: 27 January 2025 / Accepted: 30 January 2025 / Published: 1 February 2025

Abstract

:
Groundwater resources from the volcanic aquifers of northern Latium (central Italy) are widely used to supply local water needs and are mainly captured through wells. Nevertheless, despite the detailed hydrogeological knowledge of these aquifers, not enough information is available on the long-term pumping yield necessary to define the sustainable yield of a well. In this study, data from about 230 pumping tests (mainly step-drawdown and a few constant-flow-rate tests) performed in the volcanic aquifers of the Latium region were analyzed. Specifically, the aquifer formations intercepted by the wells are the fall and flow pyroclastic deposits of the Vico, Vulsini, and Sabatini volcanic districts; lava from the Vico, Cimino, and Vulsini volcanic districts; and Ignimbrite Cimina, one of the main pyroclastic products of the Cimino eruptions. These aquifers were grouped and analyzed by considering the type of permeability, hydrostratigraphic succession, and frequency and thickness of the aquifer horizons intercepted by wells. The results obtained in terms of specific capacity and transmissivity values are comparable among the identified different aquifer formations, showing a good correlation between the two parameters, a strong hydraulic heterogeneity (variability within five orders of magnitude), and variable responses regarding drawdown to pumping. This study highlights that the analysis of drawdown over time at a constant flow is fundamental in heterogeneous hydrogeological environments such as volcanic ones, where the trend in drawdown is often affected by the reduced spatial continuity of the most productive aquifer formations. Knowledge of the trend in drawdown over time, the thickness of the aquifer intercepted by the well, and the operating time of the well is an essential element in defining the sustainable yield of a well.

1. Introduction

During the last decades, the study of volcanic aquifers has received increasing interest from the scientific community, since they represent the unique sources of groundwater for human needs, agriculture, economic activities, and ecosystems in some regions of the world [1,2,3,4,5,6,7,8,9].
The optimization of groundwater withdrawals from volcanic aquifers is therefore crucial to maximize flow rates for human requirements and, at the same time, to minimize negative environmental impacts. This goal is particularly challenging in these complex geological settings due to the overlapping of several eruption phases and products (i.e., pyroclastic fall and flow deposits, lava flows, and lava domes). These geological features lead to complex and heterogeneous hydrostratigraphy characterized by different types (primary porosity, secondary porosity, and/or dual porosity) and degrees of permeability [8,10,11,12,13]. Volcanic aquifers, therefore, constitute a very heterogeneous hydrogeological environment, and it is well known that the spatial heterogeneity of aquifer properties affects groundwater flow and mass transport at different scales (e.g., [14,15,16,17]).
An example of such settings is the Pliocene–Quaternary volcanic areas of central Italy, where aquifer systems are widely used to meet local needs for drinking water, irrigation, and industry. These aquifers also supply mineral water for bottling and thermal water for therapeutic purposes [18]. Moreover, in this region, groundwater has arsenic concentrations varying between 1 and 317 µg/L, which poses problems for drinking water use [19,20,21].
Volcanic aquifers in the Latium region cover about 5400 km2, representing approximately 31% of the regional area [22]. For these aquifers, groundwater flow patterns are known at the system scale, and estimates of water resources are available [22,23,24]. These estimates indicate that the volcanic aquifers in Latium provide a total of about 22.4 m3/s of water resources allocated as follows: 44.7% for drinking water, 28.7% for irrigation, and 26.6% for industrial use. These groundwater resources are primarily extracted by wells [20]. Given this evidence, the sustainability of groundwater withdrawals is a significant concern. In accordance with Alley et al. [25], sustainable groundwater use means balancing withdrawal and use to avoid unacceptable environmental, economic, and social consequences over time. The sustainability of groundwater withdrawals can be applied at different scales, such as in basins, aquifers, or individual wells or well fields (e.g., [26,27]). At the scale of individual wells or groups of wells, understanding the aquifer response to pumping in terms of the propagation of induced drawdown over time and space is pivotal [28,29]. This is because groundwater, which under natural conditions feeds springs, rivers, and wetlands, and sustains dependent ecosystems, and they could be strongly influenced by the effect of pumping. Background knowledge (e.g., [30,31]) made clear that drawdown and consequently aquifer emptying depend on hydraulic diffusivity and on the distance from the boundary to be captured. Depending on these factors, the system may or may not tend toward steady-state conditions. These aquifer features determine the response to pumping and, consequently, the sustainable pumping flow rate. Long-term pumping becomes unsustainable when it leads to a progressive reduction in aquifer storage. Conversely, any pumping rate that ensures significant residual groundwater outflow to natural discharge areas is considered sustainable [27,32]. Therefore, to assess the sustainability of groundwater withdrawals, it is crucial to estimate aquifer hydraulic parameters and, above all, the trend in drawdown over time in the well and aquifer. Currently, limited information is available for volcanic aquifers in central Italy. This study summarizes the results of pumping tests carried out in the volcanic areas of northern Latium to ascertain reliable indications for defining the sustainable flow rate for wells.

2. Geological and Hydrogeological Setting

The study area lies between the Vulsini, Cimino, Vico, and Sabatini volcanic districts located in the northern area of Latium in central Italy (Figure 1). The Latium volcanic activity is part of the Tuscan–Latium volcanic province and began in the late Pliocene, developing along a structurally depressed belt parallel to the Tyrrhenian coast [33].
The Vulsini district (0.6–0.1 Ma), covering approximately 2000 km2 (Figure 1a), developed during four eruptive phases: Paleobolsena, Bolsena, Latera, and Montefiascone [34]. Volcanic complexes, some overlapping in space and time, have produced a variety of volcanic deposits, including pyroclastic fall and flow deposits, such as the Orvieto Ignimbrite, interspersed with effusive episodes like lava flows and scoria cones [35]. The main volcanic structure is the large Bolsena Lake basin, interpreted as a volcano–tectonic depression. The Vulsini volcanoes show a diverse range of rock types within the potassic series, including K-basalts; trachybasalts; basanites; and high-potassium rocks like tephrites, phonolites, and trachytes [36,37,38].
The Cimino district, located further south (Figure 1a), underwent a period of activity between 1.35 and 0.95 Ma. In this period, the formation of over 50 rhyodacitic lava domes, often buried beneath pyroclastic flows and surges, took place. The Ignimbrite Cimina is the main pyroclastic flow product of the Cimino volcano, showing considerable thickness and extent. Volcanic activity ends with the eruption of latitic and olivin-latitic lavas [39,40].
The Vico district was active from 0.49 to 0.095 Ma. It developed as a strato-volcano with a central caldera depression, and it is now occupied by Vico Lake (Figure 1a). Both effusive and explosive eruptions occurred, producing plinian fall deposits, lava flows, and pyroclastic flows leucitic, phonolitic–tephritic, and leucitic–phonolitic in composition [37,41]. The main eruptive product is the ignimbrite “Tufo Rosso a Scorie Nere”, a thick pyroclastic flow deposit. Together, the Cimino and Vico districts cover approximately 900 km2.
The Sabatini district, located in the southern part of the study area (Figure 1a), began its volcanic activity at about 0.55 Ma and covers an area of 1690 km2. The district experienced eruptions from multiple centres, primarily in the eastern part, producing pyroclastic deposits with trachytic and phonolitic compositions. In the western area, prolonged explosive activity gave rise to thick and extensive pyroclastic flow, fall deposits, and lava flows with high-potassium compositions. Other areas within the district also witnessed volcanic activity, characterized by tephritic and phonolitic lava flows and scoria cones [42]. Around 0.37 Ma, after the paroxysmal phase, the main eruptive centre entered a final phase marked by hydromagmatic eruptions and the collapse of the volcano–tectonic depression now housing Bracciano Lake.
From a hydrogeological perspective, the study area can be divided into defined systems, corresponding to the four outlined volcanic districts [22,24,43]. In these volcanic areas (Figure 1a), the aquifer formations consist of lavas, which generally show high permeability due to fracturing. These formations interchange with pyroclastic fall deposits (such as pumiceous and scoriaceous lapilli horizons and tuffs) that display varying degrees of permeability resulting from primary porosity, and the ignimbrites are characterized by dual porosity [10,44].
At the volcanic district scale, groundwater flow occurs in the basal continuous aquifer with a potentiometric surface that generally follows the topography. The basal aquifer mainly discharges into streams and rivers and feeds alluvial aquifers bordering the volcanic areas. Additionally, springs with relatively low flow rates (<0.05 m3/s) contribute to the discharge of basal aquifers. Lakes Bolsena, Vico, and Bracciano are interconnected with the basal water table, having feed and drain relationships with groundwater. Due to the complex hydrostratigraphy, which is strongly related to the complex eruptive history of the area, discontinuous perched aquifers of limited extent were identified, feeding streams and springs with low flow rates (<0.01 m3/s) [10,23,24]. The above-mentioned volcanic aquifer systems are laterally bounded by sedimentary units (Plio-Pleistocene and Meso-Cenozoic) and alluvial deposits (Pleistocene-Holocene). Low-permeability Pliocene and Meso-Cenozoic formations represent the aquifer bottom [24].

3. Materials and Methods

Pumping tests and well data were collected from various sources, including the existing literature [10,20,45], public archives [46], and several unpublished technical reports. The pumping tests concern wells used mainly for irrigation and drinking water and, secondly, for supplying industrial sites. A total of 235 wells were selected for the quality of the acquired information. They are mainly located in the Cimino and Vico volcanic districts and secondarily in the Vulsini and Sabatini districts (Figure 1b). For each well, data on the technical characteristics (depth, diameter, and operating flow rate) and local hydrogeological features (e.g., aquifer formation and its thickness, depth of water level) were acquired. The well’s design in terms of the well’s screen type, screen slot size, and filter pack is not always known, with this lack of information being particularly relevant to wells serving irrigation. Most of the analyzed data included pumping tests carried out at variable discharge rates, with a maximum duration of a few hours and with drawdown monitoring only in the pumping well (Type A tests). A smaller number of tests were performed over several hours at constant or variable flow rates, involving drawdown measurements on the pumping well and nearby observation wells (if any), as well as the monitoring of the recovery phase (Type B tests).
The acquired data were processed to determine well yields and aquifer parameters and to analyze the different responses to pumping over time in the well and, where possible, in the surrounding aquifer.
For Type A tests (212 tests), the specific capacity of wells (Qs = Q/sw) was calculated using the flow rate (Q) and the measured drawdown in the well (sw) at the lowest flow-step, where non-linear head losses are certainly the lowest, thus reducing the influence of well efficiency on the value of Qs. For Type B tests (23 tests), in addition to the specific capacity (Qs) calculated for 21 tests, transmissivity (T) was assessed by using data from the monitoring of the recovery phase in the pumping well and, where available, data from nearby observation wells. In the latter cases, data from observation wells were used also to determine the storage coefficient (S). Aquifer parameters (T and S) were estimated using classical analytical methods widely documented in the literature (Jacob’s method, Theis’s recovery method, or Neuman’s curve-fitting method [47]), and in a few cases, they were also verified through commercial software (Aquifer Test 13.0) [48]. In addition, for constant-flow-rate tests belonging to the Type B class, the drawdown–time trends were analyzed through semi-log plots, and the time series and the first derivative of the drawdown were plotted on bi-log plots. By comparing these with theoretical curves, the flow regime through the flow dimension n was identified [49,50,51,52].
For the entire dataset, the aquifer formation intercepted by each well was characterized using borehole stratigraphy or, when unavailable, by referring to neighboring boreholes or geological maps of the area. A strong understanding of hydrostratigraphy in these complex and heterogeneous environments is crucial for the accurate interpretation of results, particularly in deriving indications in order to define sustainable yield.
The wells considered and their technical characteristics of major interest for this study, together with the calculated parameters (Qs, T, and S), are shown in Supplementary Materials (Table S1).

4. Results

The investigated wells are located at elevations ranging from 140 and 755 m asl and spread over an area of about 1371 km2 (Table S1 in Supplementary Materials and Figure 1b). By analyzing the available stratigraphic logs for the boreholes or the study area, wells were classified into three main aquifer categories. These aquifer classes were differentiated on the basis of the permeability type, hydrostratigraphic sequence, frequency and thickness of aquifer horizons, and predominant aquifer formation intercepted by the wells.
The identified aquifer categories can be classified as follows:
T–P class: The fall and flow pyroclastic deposits of the Vico, Vulsini, and Sabatini volcanic districts, often intercepted by the same well. These deposits show primary porosity in unconsolidated fall pyroclastic deposits and dual porosity (matrix and fractures) in tuffs and ignimbrites (Figure 2a,b).
IC class: Ignimbrite Cimina, the major pyroclastic flow deposit of the Cimino eruptions, is characterized by dual porosity [44]: high secondary porosity due to fracturing and relatively low primary porosity (Figure 2c).
L class: Lava from the Vico, Cimino, and Vulsini volcanic districts. Primarily permeable because of fracturing (Figure 2d), the degree of fissuring is variable in relation to the effusive eruption styles and volcano–tectonic processes of different volcanic districts [10].
Well depths range from 17 to 278 m, with the shallower one intercepting the T–P aquifer class, while the deepest intercepts the IC class. The saturated thickness varies between a few meters and several tens of meters (Table S1 of Supplementary Materials).
For 233 tests, Qs was calculated by referring to the lowest pumping rate for Type A tests and the early time drawdown for Type B tests. Table 1 and Figure 3 show the statistical parameters of Qs for the entire dataset and differentiated by the aquifer class.
The results highlight that most of the Qs values (25th and 75th percentiles) fall within two orders of magnitude (10−3–10−4 m2/s), regardless of whether all tests or individual aquifer classes are considered. The geometric mean and median values also show little variation across all tests and different aquifer classes. However, the minimum Qs value for the T-P class is almost an order of magnitude higher than that of all tests and other classes. Furthermore, no correlation was found between Qs and the well depth or aquifer formation thickness when considering the entire dataset.
For the 23 Type B tests, which lasted several hours, transmissivity (T) was calculated using data from the recovery phase or, in a few cases, data acquired in observation wells. Type B tests mainly involved the IC and L aquifer classes, with only seven wells intercepting the T-P class. Statistical parameters calculated on T values are presented in Table 2 and Figure 4. As with Qs, most T values range within two orders of magnitude (10−3–10−4 m2/s). However, considering the maximum and minimum values, a wider range of variation is observed (10−6–10−2 m2/s), similarly to the Qs distribution.
In addition, for the Type B test, the relationship between Qs and T was examined. As shown in Figure 5, a power–law relationship (Equation (1)) exists between the two variables (expressed in m2/s), with a coefficient of determination R2 of about 0.80:
T = 1.00 Q s 1.03
The determination of storativity (S) was possible only for four tests. For two tests carried out in the IC class aquifer, the S values are 1.40 × 10−3 and 4.96 × 10−3. For two tests in the T–P class, the S values are 1.31 × 10−3 and 3.86 × 10−2. A previous study [18] carried out in a broader region, including the current study area, determined S values from 10 pumping tests, ranging from 10−3 and 10−2.
Besides specific capacity and aquifer parameters, the drawdown trend over time for long duration, constant-flow-rate tests were thoroughly analyzed. Different pumping responses were observed, reflecting the inherent heterogeneity characterizing the intercepted aquifer. In some cases, the drawdown response tends toward a quasi-steady-state condition, while in others, a transient regime was evident, even with varying trends during the pumping period. Three significant examples are illustrated below: two tests for wells (P1 and P2) intercepting the T–P aquifer class and one test for a well (P3) crossing the L and IC aquifer classes (Figure 1b and Figure 6).
Pumping well P1, which is 50 m deep, intercepts the aquifer formation for 30 m, consisting of fall and flow pyroclastic deposits from the Vico volcano (Figure 6). A constant-flow-rate pumping test of 7.7 L/s was carried out for approximately 405 h. The test included drawdown monitoring in the well and in two observation wells (P1–OW1 and P1–OW2) located 32 and 57 m apart from the pumping well, respectively. The semi-log plot of the drawdown–time (Figure 7a) shows a similar trend toward the quasi-steady-state regime for the well and the two observation wells up to the first 1000 min of the test, followed by an increase in curve slopes. Except for the first few minutes of the test, where drawdown in the well is affected by the wellbore storage effect, both the wells and observation wells respond simultaneously and homogeneously to pumping. The derivative drawdown time bi-log plot (Figure 7b) shows a similar trend for the well and the two observation wells again, with a sequential variation in flow dimensions from n = 2 ascribable to radial flow (in the early time), followed by a flow dimension of n = 1 due to linear flow.
The pumping test performed in well P2, which is 72 m deep, shows the response to the pumping of the aquifer hosted within the pyroclastic flow deposits of the Vico volcano (Figure 6). The saturated thickness intercepted by the well is 30 m. Drawdown was monitored in the well and in an observation well (P2–OW1) at a 31 m distance and during a constant-flow-rate test performed at 10 L/s for about 480 min. The semi-log plot in Figure 8a exhibits an initial transient trend that turns, in the later period of the test, toward a quasi-steady-state response. Conversely, monitoring well drawdown–time trend tends toward the steady-state condition after the first 100 min of pumping.
From the comparison of the semi-log plot of the drawdown and the bi-log plot of the derivative, a tendency toward a steady-state regime is clear, especially for the observation well (Figure 8b). Indeed, in P2–OW1, the sequence of flow dimensions changes from n = 2, typical of radial flow, to n = 4, indicative of the presence of a constant head boundary. For the pumping test, a similar sequence is obtained, but with a radial flow followed by a flow dimension of n > 2. This different response to pumping is likely ascribable to the diverse degree and type of permeability typical of pyroclastic deposits.
Well P3, with a depth of 177 m, mainly intercepts Cimino dome lava and partially the Ignimbrite Cimina at a thickness of 50 m (Figure 6). The test was performed at a constant flow rate of 20 L/s for 183 h, monitoring the drawdown only in the pumping well. The drawdown–time trend shows a transient response to pumping throughout the test duration, with an increase in drawdown in the late period (Figure 9a). From the derivative signal of the drawdown (Figure 9b), it is possible to identify a flow dimension of n = 2 up to 200 min due to a radial flow, followed by a steepening of the derivative curve, which tends to a flow dimension of n = 0 probably due to the effect of a no-flow boundary. The behavior highlighted by the semi-log and bi-log trends of the drawdown is characteristic of a heterogeneous fractured aquifer.

5. Discussion

The different response to pumping observed for the investigated volcanic aquifer reflects the hydrogeological features of pyroclastic and volcanic rocks. Although the specific capacity (Qs) depends on the well’s efficiency, using the values at the lowest flow-step, appears to be a reliable indicator of the considerable hydraulic heterogeneity of the aquifer formations intercepted by the wells. Indeed, Qs values vary among five orders of magnitude, with most values falling within the range of 10−4 to 10−3 m2/s (see Table 1). This high degree of heterogeneity is further emphasized by the significant variation in parameter values among closely spaced wells and, in some cases, by the different drawdown trends between pumping and observation wells. The transmissivity (T), although derived from a limited number of tests, also shows significant variations, with the most frequent values spanning two orders of magnitude. This variability aligns with the observed range of the specific capacity (Qs).
In addition, the good correlation between specific capacity and transmissivity (Figure 5) suggests that Qs can be used as a reliable parameter for the preliminary assessment of site-specific hydrogeological features, particularly T. Equation (1), describing the relationship between the two parameters, produced results comparable to those obtained from a larger number of tests even in different hydrogeological settings [11,53,54,55,56].
The significant variation in Qs and T likely reflects the extreme variability in the nature, thickness, continuity, and age of the stratigraphic unit characteristics of volcanic areas, as also observed in other contexts [2,9,12,13,57,58]. The limited available storativity values (ranging from 10−3 and 10−2) coupled with local hydrostratigraphy and drawdown–time trends observed during pumping tests suggest that aquifer responses for the examined cases are consistent with unconfined or semi-confined aquifer conditions.
Nevertheless, aquifer response to pumping is a function of both hydraulic diffusivity ( D = T / S ) and distance (x) from the boundary to be captured. Theis [30] highlighted that the response of a confined aquifer to withdrawal depends on time constant tc, included in the u terms of the Theis equation [59]:
u = x 2 S 4 T t = t c t
where t is the duration of pumping. The drawdown will show a little increase over time when t is significantly higher than tc (i.e., t > 103tc): that is, a trend toward steady-state conditions. Therefore, the duration of the transient phase decreases for smaller values of x and S or for higher values of T. These two conditions are more typical of confined aquifers than unconfined ones [31]. In any case, pumping leads to aquifer emptying, and the tendency toward steady-state conditions depends on D and x, whatever the aquifer type.
Using Equation (2) and the calculated T and S values, it is possible to examine the possible local response to pumping within the study area. For this purpose, it was necessary to determine the distance (x) of pumping wells from boundaries to be captured, such as streams, rivers, lakes, and other recharge boundaries, as well as the pumping duration, which is strictly related to groundwater usage (drinking water supply, irrigation, and industrial purposes). Figure 10 illustrates the relationship between the time constant (tc), the distance to the boundary (x), and different pumping durations (t) for various groundwater usage scenarios. The distance (x) ranges from 10 to 5000 m. The time constant tc was calculated for both the maximum and minimum values of hydraulic diffusivity. The graph also includes lines representing t = 103tc for the maximum and minimum tc values.
Assuming a 6 h withdrawal period for irrigation, the graph highlights that the steady-state condition is only reached for the maximum D value (t = 103tcmin) for a boundary distance of less than 50 m (Figure 10). If a longer pumping duration of one year is considered (e.g., for drinking water supply), steady-state conditions may not be reached for low D values (t = 103tcmax), while they can be attained for the maximum D values and boundary distances of less than about 1 km. It is important to remark that Figure 10 depicts the Theis-confined aquifer model. In semi-confined and unconfined aquifers, such as those examined in this study, steady-state conditions may be achieved, respectively, more quickly or slowly than in confined aquifers. In addition, the scenarios shown in Figure 10 assume a constant hydraulic diffusivity between the pumping well and the boundary to be captured. Instead, the hydraulic diffusivity of volcanic and pyroclastic formations can vary even on a hundred-metre scale, as the results of pumping tests show.
Understanding the long-term drawdown trend of these complex and heterogeneous volcanic aquifers is crucial for sustainable groundwater management. The constant flow rate pumping tests examined (e.g., Figure 7, Figure 8 and Figure 9) often show a transient response regarding drawdown. Consequently, assessing sustainable pumping rates is challenging without knowledge of the long-term pumping behavior. According to Van Tonder [60], the sustainable yield of a well is defined as the discharge rate that will not cause the water level in the well to drop below a prescribed limit. This assessment depends on the aquifer’s type and on the saturated thickness intercepted by the well. Therefore, information on drawdown trends, extrapolated from sufficiently long pumping tests, is necessary for making reasonable predictions.
In fact, by applying Van Tonder’s method [60] to well P3, different sustainable pumping rate values may be obtained depending on whether the early-time drawdown curve (<1000 min) or the late-time steeper portion of the curve is considered. This means that the test duration is critical in defining a well’s sustainable yield, as also highlighted in low-permeability aquifers [61] and in high-permeability and heterogeneous fractured aquifers [62]. Conversely, long-duration constant flow rate tests, aimed at defining sustainable operational flow rates, can be costly for continuous (drinking water) use. This issue can be overcome by monitoring the first operation phase of the well, as suggested by Misstear and Beeson [63]. However, the primary factor in defining a well’s operating flow rate should be the long-term drawdown trend. This is certainly more significant than relying solely on aquifer hydraulic parameters (T and S), especially in heterogeneous hydrogeologic environments such as volcanic ones where the trend in drawdowns can be affected by the limited spatial continuity of productive aquifer layers.

6. Conclusions

A large number of pumping tests (235) were carried out in the volcanic aquifers of northern Latium, characterized by complex hydrostratigraphy due to the intricate eruptive history, including effusive and explosive episodes. This results in significant hydraulic heterogeneity, both horizontally and vertically, caused by spatial variations in aquifer formations differing in the type and degree of permeability. The heterogeneity inherent in these aquifers is reflected in the wide variability of both specific capacity and transmissivity values (five orders of magnitude) obtained by the analyses of the pumping test. The values also show a good correlation between the two parameters, suggesting that the specific capacity could represent a reliable indicator of aquifer transmissivity. Furthermore, the different aquifer responses to pumping are evidenced by diverse drawdown trends over time, underlining this complexity. Indeed, the key finding of this study is that understanding the drawdown trend over time, relative to the expected pumping duration for various water uses, becomes crucial for defining a sustainable pumping flow rate.
Specifically, for irrigation wells that require intermittent and short-duration pumping, it is necessary to consider the transient response of drawdowns that may affect the operating flow rate and the interference with neighboring wells. For wells that require continuous pumping, such as those used for drinking water, understanding the long-term drawdown trend and the distance from the boundary to be captured is essential. In both cases, constant flow rate pumping tests (or step-drawdown tests interpreted to provide the specific drawdown over time) are preferred in order to extrapolate the most reliable drawdown trend for the expected pumping durations during the operation phase.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/w17030409/s1, Table S1: Dataset of tested pumping wells.

Author Contributions

Conceptualization, C.S. and V.P.; methodology, V.P. and C.S.; software, M.P.; validation, C.S. and V.P.; formal analysis, C.S. and V.P.; data curation, M.P. and C.S.; writing—original draft preparation, C.S., V.P. and M.P.; writing—review and editing C.S., V.P. and M.P.; visualization, M.P.; supervision, V.P. and C.S.; project administration, V.P.; funding acquisition, V.P. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the Agritech National Research Center and received funding from the European Union Next-GenerationEU (PIANO NAZIONALE DI RIPRESA E RESILIENZA (PNRR)—MISSIONE 4 COMPONENTE 2, INVESTIMENTO 1.4—D.D. 1032 17/06/2022, CN00000022). This manuscript only reflects the authors’ views and opinions; neither the European Union nor the European Commission can be considered responsible for them.

Data Availability Statement

The data presented in this study are available upon request from the corresponding author due to privacy reasons.

Acknowledgments

The authors would like to thank Paola Arduino for her support with English revision and also the reviewers and the editor for their suggestions, which improved the quality of this manuscript.

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Cabrera, M.C.; Custodio, E. Groundwater flow in a volcanic sedimentary coastal aquifer: Telde area; Gran Canaria; Canary Islands; Spain. Hydrogeol. J. 2010, 12, 305–320. [Google Scholar] [CrossRef]
  2. Custodio, E. Groundwater in volcanic hard rocks. In Groundwater in Fractured Rocks, 1st ed.; Krásný, J., Sharp, J.M., Eds.; Taylor&Francis Group: London, UK, 2007; pp. 95–108. [Google Scholar]
  3. Baiocchi, A.; Lotti, F.; Piscopo, V. Influence of hydrogeological setting on the arsenic occurrence in groundwater of the volcanic areas of central and southern Italy. Aqua Mundi 2011, 2, 131–142. [Google Scholar] [CrossRef]
  4. Charlier, J.B.; Lachassagne, P.; Ladouche, B.; Cattan, P.; Moussa, R.; Voltz, M. Structure and hydrogeological functioning of an insular tropical humid andesitic volcanic watershed: A multi-disciplinary experimental approach. J. Hydrol. 2011, 398, 155–170. [Google Scholar] [CrossRef]
  5. Izquierdo, T. Conceptual hydrogeological model and aquifer system classification of a small volcanic island (La Gomera; Canary Islands). Catena 2014, 626, 119–128. [Google Scholar] [CrossRef]
  6. Lachassagne, P.; Aunay, B.; Frissant, N.; Guilbert, M. High-resolution hydrogeological model of complex basaltic volcanic islands: A Mayotte; Comoros; case study. Terranova 2014, 26, 307–321. [Google Scholar] [CrossRef]
  7. Vittecoq, B.; Reninger, P.A.; Lacquement, F.; Martelet, G.; Violette, S. Hydrogeological conceptual model of andesitic watersheds revealed by high-resolution heliborne geophysics. Hydrol. Earth Syst. Sci. 2019, 23, 2321–2338. [Google Scholar] [CrossRef]
  8. Poncela, R.; Santamarta, J.C.; Garcìa-Gil, A.; Cruz-Pèrez, N.; Skupien, E.; Garcìa-Barba, J. Hydrogeological characterization of heterogeneous volcanic aquifers in the Canary Islands using recession analysis of deep water gallery discharge. J. Hydrol. 2022, 610, 127975. [Google Scholar] [CrossRef]
  9. Baud, B.; Lachassagne, P.; Dumont, M.; Toulier, A.; Heru, H.; Arif, F.; Dorfliger, N. Review: Andesitic aquifers—Hydrogeological conceptual models and insights relevant to applied hydrogeology. Hydrogeol. J. 2024, 32, 1259–1286. [Google Scholar] [CrossRef]
  10. Baiocchi, A.; Dragoni, W.; Lotti, F.; Luzzi, G.; Piscopo, V. Outline of the hydrogeology of the Cimino and Vico volcanic area and of the interaction between groundwater and Lake Vico (Lazio Region; central Italy). Boll. Soc. Geol. Ital. 2006, 125, 187–202. [Google Scholar]
  11. Baye, A.Y.; Razack, M.; Ayenew, T.; Zemedagegnehu, E. Estimating transmissivity using empirical and geostatistical methods in the volcanic aquifers of Upper Awash Basin; central Ethiopia. Environ. Earth Sci. 2013, 69, 1791–1802. [Google Scholar] [CrossRef]
  12. Vittecoq, B.; Reninger, P.A.; Violette, S.; Martelet, G.; Dewandel, B.; Audru, J.C. Heterogeneity of hydrodynamic properties and groundwater circulation of a coastal andesitic volcanic aquifer controlled by tectonic induced faults and rock fracturing: Martinique island (Lesser Antilles—FWI). J. Hydrol. 2015, 529, 1041–1059. [Google Scholar] [CrossRef]
  13. Kreyns, P.; Geng, X.; Michael, H.A. The influence of connected heterogeneity on groundwater flow and salinity distributions in coastal volcanic aquifers. J. Hydrol. 2020, 586, 124863. [Google Scholar] [CrossRef]
  14. Bear, J. Dynamics of Fluids in Porous Media; American Elsevier Publishing Company, Inc.: New York, NY, USA, 1972; pp. 1–764. [Google Scholar]
  15. Dagan, G. Flow and Transport in Porous Formation; Springer: Berlin, Germany, 1989. [Google Scholar]
  16. Brunetti, G.F.A.; Maiolo, M.; Fallico, C.; Severino, G. Unraveling the complexities of a highly heterogeneous aquifer under convergent radial flow conditions. Eng. Comput. 2024, 40, 3115–3130. [Google Scholar] [CrossRef]
  17. Severino, G.; Fallico, C.; Brunetti, G.F.A. Correlation structure of steady well-type flows through heterogeneous porous media: Results and application. Water Resour. Res. 2024, 60, e2023WR036279. [Google Scholar] [CrossRef]
  18. Piscopo, V.; Baiocchi, A.; Bicorgna, S.; Lotti, F. Hydrogeological support for estimation of the sustainable well yield in volcanic rocks: Some examples from Central and Southern Italy. In Proceedings of the 36th IAH Congress, Toyama, Japan, 26 October—1 November 2008. [Google Scholar]
  19. Angelone, M.; Cremisini, C.; Piscopo, V.; Proposito, M.; Spaziani, F. Influence of hydrostratigraphy and structural setting on the arsenic occurrence in groundwater of the Cimino-Vico volcanic area (central Italy). Hydrogeol. J. 2009, 17, 901–914. [Google Scholar] [CrossRef]
  20. Baiocchi, A.; Coletta, A.; Espositi, L.; Lotti, F.; Piscopo, V. Sustainable groundwater development in a naturally arsenic-contaminated aquifer: The case of the Cimino-Vico volcanic area (Central Italy). Ital. J. Eng. Geol. Environ. 2013, 1, 5–18. [Google Scholar] [CrossRef]
  21. Armiento, G.; Baiocchi, A.; Cremisini, C.; Crovato, C.; Lotti, F.; Lucentini, L.; Mazzuoli, M.; Nardi, E.; Piscopo, V.; Proposito, M.; et al. An integrated approach to identify water resources for human consumption in an area affected by high natural arsenic content. Water 2015, 7, 5091–5114. [Google Scholar] [CrossRef]
  22. Capelli, G.; Mastrorillo, L.; Mazza, R.; Petitta, M. Carta delle Unità Idrogeologiche della Regione Lazio; Scala 1:250,000; SELCA: Firenze, Italy, 2012. [Google Scholar]
  23. Boni, C.; Bono, P.; Capelli, G. Schema idrogeologico dell’Italia centrale. Mem. Soc. Geol. It. 1986, 35, 991–1012. [Google Scholar]
  24. Capelli, G.; Mazza, R.; Gazzetti, C. Strumenti e Strategie per la Tutela e l’uso Compatibile della Risorsa Idrica nel Lazio. Gli Acquiferi Vulcanici; Pitagora Editrice: Bologna, Italy, 2005; pp. 1–216. [Google Scholar]
  25. Alley, W.M.; Reilly, T.E.; Franke, O.L. Sustainability of Ground-Water Resources; U.S. Geological Survey: Reston, VA, USA, 1999; 79p. [Google Scholar]
  26. Bredehoeft, J.D. Safe yield and the water budget myth. Ground Water 1997, 35, 929. [Google Scholar] [CrossRef]
  27. Kalf, R.P.; Woolley, D.R. Applicability and methodology of determining sustainable yield in groundwater systems. Hydrogeol. J. 2005, 13, 295–312. [Google Scholar] [CrossRef]
  28. Bredehoeft, J.D. The water budget revisited: Why hydrogeologists model. Ground Water 2002, 40, 340–345. [Google Scholar] [CrossRef]
  29. Bredehoeft, J.D.; Alley, W.M. Mining groundwater for sustainable yield. Bridge 2014, 44, 33–41. [Google Scholar]
  30. Theis, C.V. The source of water derived from wells: Essential factors controlling the response of an aquifer to development. Civ. Eng. 1940, 10, 277–280. [Google Scholar]
  31. Domenico, P.A.; Schwartz, F.W. Physical and Chemical Hydrogeology. Wiley & Sons: New York, NY, USA, 1990; pp. 1–824. [Google Scholar]
  32. Zhou, Y. A critical review of groundwater budget myth; safe yield and sustainability. J. Hydrol. 2009, 370, 207–213. [Google Scholar] [CrossRef]
  33. De Rita, D. Il Vulcanismo Della Regione Lazio. Guide Geologiche Regionali. Lazio; Società Geologica Italiana: Roma, Italy, 1993; Volume 5, pp. 50–64. [Google Scholar]
  34. Nappi, G.; Renzulli, A.; Santi, P. Evidence of incremental growth in the vulsinian calderas (Central Italy). J. Volcanol. Geotherm. Res. 1991, 47, 13–31. [Google Scholar] [CrossRef]
  35. Capaccioni, B.; Cinelli, G.; Mostacci, D.; Tositti, L. Long-term risk in a recently active volcanic system: Evaluation of doses and indoor radiological risk in the quaternary Vulsini Volcanic District (Central Italy). J. Volcanol. Geotherm. Res. 2012, 247, 26–36. [Google Scholar] [CrossRef]
  36. Peccerillo, A.; Manetti, P. The potassium alkaline volcanism of Central-Southern Italy: A review of the data relevant to petrogenesis and geodynamic significance. Trans. Geol. Soc. S. Afr. 1985, 88, 379–384. [Google Scholar]
  37. Nappi, G.; Capaccioni, B.; Renzulli, A.; Santi, P.; Valentini, L. Stratigraphy of the Orvieto-Bagnoregio ignimbrite eruption (eastern Vulsini District Central Italy). Mem. Descr. Carta Geol. D’It. 1994, 49, 241–254. [Google Scholar]
  38. Palladino, D.M.; Simei, S.; Sottili, G.; Trigila, R. Integrated approach for the reconstruction of stratigraphy and geology of Quaternary volcanic terrains: An application to the Vulsini volcanoes (central Italy). In Stratigraphy and Geology in Volcanic Areas: Geological Society of America Special Paper; Groppelli, G., Viereck, L., Eds.; Geological Society of America: Boulder, CO, USA, 2010; Volume 464, pp. 66–84. [Google Scholar] [CrossRef]
  39. Sollevanti, F. Geologic, volcanologic and tectonic setting of theVico-Cimini area, Italy. J. Volcanol. Geotherm. Res. 1983, 17, 203–217. [Google Scholar] [CrossRef]
  40. Lardini, D.; Nappi, G. I cicli eruttivi del complesso vulcanico Cimino [The eruptive phases of the Cimino volcanic complex]. Rend. Soc. Geol. It. Min. Petr. 1987, 42, 141–153. [Google Scholar]
  41. Bertagnini, A.; Sbrana, A. Il vulcano di Vico: Stratigrafia del complesso vulcanico e sequenze eruttive delle formazioni piroclastiche [The Vico volcano: Stratigraphy of the volcanic complex and sequence of the eruptions of the pyroclastic units]. Mem. Soc. Geol. It. 1986, 35, 699–713. [Google Scholar]
  42. De Rita, D.; Di Filippo, M.; Sposato, A. Carta geologica del Complesso Vulcanico Sabatino. In Quaderni de “La Ricerca Scientifica”: Sabatini Volcanic Complex; Di Filippo, M., Ed.; CNR: Rome, Italy, 1987; Volume 114, pp. 33–79. [Google Scholar]
  43. Mazza, R.; Mastrorillo, L. L’idrologia Regionale nella pianificazione e gestione della risorsa idrica sotterranea. Il dominio vulcanico laziale (Italia centrale). Acque Sotter. 2013, 2, 41–53. [Google Scholar] [CrossRef]
  44. Allocca, V.; Colantuono, P.; Colella, A.; Piacentini, S.M.; Piscopo, V. Hydraulic properties of ignimbrites: Matrix and fracture permeabilities in two pyroclastic flow deposits from Cimino-Vico volcanoes (Italy). Bull. Eng. Geol. Environ. 2022, 81, 221. [Google Scholar] [CrossRef]
  45. Piscopo, V.; Armiento, G.; Baiocchi, A.; Mazzuoli, M.; Nardi, E.; Piacentini, S.M.; Proposito, M.; Spaziani, F. Role of high-elevation groundwater flows in the hydrogeology of the Cimino volcano (central Italy) and possibilities to capture drinking water in a geogenically contaminated environment. Hydrogeol. J. 2018, 26, 1027–1045. [Google Scholar] [CrossRef]
  46. Istituto Superiore per la Protezione e la Ricerca Ambientale (ISPRA). Dati Geognostici e Geofisici—Archivio indagini nel sottosuolo (Legge 464/84). Available online: http://portalesgi.isprambiente.it/it/categorie-db/sondaggi (accessed on 18 December 2024).
  47. Kruseman, G.P.; De Ridder, N.A. Analysis and Evaluation of Pumping Test Data, 2nd ed.; ILRI Publication; International Institute for Land Reclamation and Improvement: Wageningen, The Netherlands, 1994; pp. 1–372. [Google Scholar]
  48. Waterloo Hydrogeologic, Inc. User Manual, Aquifer Test Pro 13.0. Pumping & Slug Test Analysis, Interpretation & Visualization Software; Waterloo Hydrogeologic: Kitchner, ON, Canada, 2023; pp. 1–541. [Google Scholar]
  49. Ehlig-Economides, C.; Hegeman, P.; Clark, G. Three key elements necessary for successful testing. Oil Gas J. 1994, 92, 30. [Google Scholar]
  50. Bourdet, D. Well Test Analysis, 1st ed.; Elsevier Science: Amsterdam, The Netherlands, 2002; pp. 1–426. [Google Scholar]
  51. Renard, P.; Glenz, D.; Mejias, M. Understanding diagnostic plots for well-test interpretation. Hydrogeol. J. 2009, 17, 589–600. [Google Scholar] [CrossRef]
  52. Ferroud, A.; Rafini, S.; Chesnaux, R. Using flow dimension sequences to interpret non-uniform aquifers with constant-rate pumping-tests: A review. J. Hydrol. X 2019, 2, 100003. [Google Scholar] [CrossRef]
  53. Razak, M.; Huntley, D. Assessing transmissivity from specific capacity in a large and heterogeneous alluvial aquifer. Ground Water 1991, 29, 856–861. [Google Scholar] [CrossRef]
  54. Mace, R. Determination of transmissivity from specific capacity tests in a karst aquifer. Ground Water 1997, 35, 738–742. [Google Scholar] [CrossRef]
  55. Hamm, S.Y.; Cheong, J.Y.; Jang, S.; Jung, C.Y.; Sang, K.B. Relationship between transmissivity and specific capacity in the volcanic aquifers of Jeju Island; Korea. J. Hydrol. 2005, 310, 111–121. [Google Scholar] [CrossRef]
  56. Fabbri, P.; Piccinini, L. Assessing transmissivity from specific capacity in an alluvial aquifer in the middle Venetian plain (NE Italy). Water Sci. Technol. 2013, 67, 2000–2008. [Google Scholar] [CrossRef]
  57. Rotzoll, K.; El-Kadi, A.I. Estimating hydraulic conductivity from specific capacity for Hawaii aquifers; USA. Hydrogeol. J. 2008, 16, 969–979. [Google Scholar] [CrossRef]
  58. Piscopo, V.; Formica, F.; Lana, L.; Lotti, F.; Pianese, L.; Trifuoggi, M. Relationship between aquifer pumping response and quality of water extracted from wells in an active hydrothermal system: The case of the Island of Ischia (Southern Italy). Water 2020, 12, 2576. [Google Scholar] [CrossRef]
  59. Theis, C.V. The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage. Trans. Am. Geophys. Union 1935, 16, 519–524. [Google Scholar] [CrossRef]
  60. Van Tonder, G.J.; Botha, J.F.; Chiang, W.H.; Kunstmann, H.; Xu, Y. Estimation of the sustainable yields of boreholes in fractured rock formation. J. Hydrol. 2001, 241, 70–90. [Google Scholar] [CrossRef]
  61. Piscopo, V.; Sbarbati, C.; Dinagde, T.D.; Lotti, F. Practical approach for defining the sustainable yield of wells in low-permeability fractured rocks. Sustainability 2023, 15, 10706. [Google Scholar] [CrossRef]
  62. Piscopo, V.; Paoletti, M.; Sbarbati, C. Response to Pumping of Wells in Carbonate and Karst Aquifers and Effect on the Assessment of Sustainable Well Yield: Some Examples from Southern Italy. Water 2024, 16, 2664. [Google Scholar] [CrossRef]
  63. Misstear, B.D.R.; Beeson, S. Using operational data to estimate the reliable yields of water-supply wells. Hydrogeol. J. 2000, 8, 177–187. [Google Scholar] [CrossRef]
Figure 1. Location maps of the study area (a) and tested wells (b).
Figure 1. Location maps of the study area (a) and tested wells (b).
Water 17 00409 g001
Figure 2. Examples of outcrops of the T-P class, fall and flow deposits f (a,b); IC class, Ignimbrite Cimina (c); and L class, lava dome (d).
Figure 2. Examples of outcrops of the T-P class, fall and flow deposits f (a,b); IC class, Ignimbrite Cimina (c); and L class, lava dome (d).
Water 17 00409 g002
Figure 3. Range of Qs variation determined for all tests and for the different aquifer classes.
Figure 3. Range of Qs variation determined for all tests and for the different aquifer classes.
Water 17 00409 g003
Figure 4. Range of variation of T obtained from 23 tests.
Figure 4. Range of variation of T obtained from 23 tests.
Water 17 00409 g004
Figure 5. Relationship between specific capacity (Qs) and transmissivity (T) values.
Figure 5. Relationship between specific capacity (Qs) and transmissivity (T) values.
Water 17 00409 g005
Figure 6. Stratigraphy of wells P1, P2, and P3, blue lines represent water table depth.
Figure 6. Stratigraphy of wells P1, P2, and P3, blue lines represent water table depth.
Water 17 00409 g006
Figure 7. (a) Semi-log plot of drawdown–time in the pumping well and in two observation wells; (b) bi-log plots of the drawdown and derivative in the well and in two observation wells in the T–P Class.
Figure 7. (a) Semi-log plot of drawdown–time in the pumping well and in two observation wells; (b) bi-log plots of the drawdown and derivative in the well and in two observation wells in the T–P Class.
Water 17 00409 g007
Figure 8. (a) Semi-log plot of drawdown–time in the pumping well and in one observation well; (b) bi-log plots of the drawdown and derivative in the well and in one observation well in T–P Class.
Figure 8. (a) Semi-log plot of drawdown–time in the pumping well and in one observation well; (b) bi-log plots of the drawdown and derivative in the well and in one observation well in T–P Class.
Water 17 00409 g008
Figure 9. (a) Semi-log plot of drawdown–time in the pumping well; (b) bi-log plots of the drawdown and derivative in the well in L and IC Classes.
Figure 9. (a) Semi-log plot of drawdown–time in the pumping well; (b) bi-log plots of the drawdown and derivative in the well in L and IC Classes.
Water 17 00409 g009
Figure 10. Time constant (tc) and pumping time (t) variations as a function of boundary distance (x). The values of tc were derived from the most frequent range of hydraulic diffusivity (D) obtained from pumping tests.
Figure 10. Time constant (tc) and pumping time (t) variations as a function of boundary distance (x). The values of tc were derived from the most frequent range of hydraulic diffusivity (D) obtained from pumping tests.
Water 17 00409 g010
Table 1. Statistical parameters calculated on Qs (in m2/s).
Table 1. Statistical parameters calculated on Qs (in m2/s).
Aquifer ClassAllT–P LIC
Number2332680127
Min6.06 × 10−63.00 × 10−56.00 × 10−68.00 × 10−6
Max5.00 × 10−21.80 × 10−25.00 × 10−22.06 × 10−2
Mean2.30 × 10−32.27 × 10−32.46 × 10−32.20 × 10−3
Geometric mean6.57 × 10−46.28 × 10−46.64 × 10−46.60 × 10−4
Median6.00 × 10−47.15 × 10−47.75 × 10−45.20 × 10−4
25th perc.2.13 × 10−41.78 × 10−42.23 × 10−42.11 × 10−4
75th perc.2.00 × 10−31.90 × 10−32.00 × 10−32.00 × 10−3
Standard error3.31 × 10−47.92 × 10−47.40 × 10−43.57 × 10−4
Standard deviation5.05 × 10−34.04 × 10−36.62 × 10−34.02 × 10−3
Variance2.55 × 10−51.63 × 10−54.38 × 10−51.62 × 10−5
Coefficient of variation219.70178.12268.74182.89
Skewness5.372.825.802.95
Kurtosis39.328.9237.438.91
Table 2. Statistical parameters calculated on T (in m2/s).
Table 2. Statistical parameters calculated on T (in m2/s).
Number23
Min5.80 × 10−6
Max4.00 × 10−2
Mean4.44 × 10−3
Geometric mean7.61 × 10−4
Median8.12 × 10−4
25th perc.2.10 × 10−4
75th perc5.80 × 10−3
Standard error1.88 × 10−3
Standard deviation9.04 × 10−3
Variance8.16 × 10−5
Coefficient of variation203.51
Skewness3.28
Kurtosis11.43
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

Share and Cite

MDPI and ACS Style

Sbarbati, C.; Paoletti, M.; Piscopo, V. The Role of the Heterogeneity of Volcanic Aquifer Properties in Assessing Sustainable Well Yield: Study Cases from Latium (Central Italy). Water 2025, 17, 409. https://doi.org/10.3390/w17030409

AMA Style

Sbarbati C, Paoletti M, Piscopo V. The Role of the Heterogeneity of Volcanic Aquifer Properties in Assessing Sustainable Well Yield: Study Cases from Latium (Central Italy). Water. 2025; 17(3):409. https://doi.org/10.3390/w17030409

Chicago/Turabian Style

Sbarbati, Chiara, Matteo Paoletti, and Vincenzo Piscopo. 2025. "The Role of the Heterogeneity of Volcanic Aquifer Properties in Assessing Sustainable Well Yield: Study Cases from Latium (Central Italy)" Water 17, no. 3: 409. https://doi.org/10.3390/w17030409

APA Style

Sbarbati, C., Paoletti, M., & Piscopo, V. (2025). The Role of the Heterogeneity of Volcanic Aquifer Properties in Assessing Sustainable Well Yield: Study Cases from Latium (Central Italy). Water, 17(3), 409. https://doi.org/10.3390/w17030409

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop