iEMSs 2008: International Congress on Environmental Modelling and Software Integrating Sciences and Information Technology for Environmental Assessment and Decision Making 4th Biennial Meeting of iEMSs, http://www.iemss.org/iemss2008/index.php?n=Main.Proceedings M. Sànchez-Marrè, J. Béjar, J. Comas, A. Rizzoli and G. Guariso (Eds.) International Environmental Modelling and Software Society (iEMSs), 2008

Land subsidence induced by groundwater extraction:

the case of

G. Darini, G. Modoni, M. Saroli and P. Croce Di.M.S.A.T. – Dipartimento di Meccanica, Strutture, Ambiente e Territorio, Università di Cassino, Via di Biasio, 42 03043, Cassino, Italia ([email protected])

Abstract: A comprehensive investigation of the subsidence induced in the area of Bologna () by groundwater extraction is presented. Initially, the geological pattern of the region is reviewed in order to identify the large scale subsoil features governing the water flow regime and the ground displacements. Several types of data, covering the different aspects of the problem are then combined into a Geographical Information System and interpolated data by means of geostatistical analyses. A detailed reconstruction of subsidence over the considered area is accomplished by processing available topographical measurements. The subsoil stratigraphy, the physical, hydraulic and the mechanical characteristics of the different geotechnical units are estimated by integrating the results of available geotechnical site and laboratory investigations. The groundwater regime is investigated by correlating the water head measures recorded on several pumping wells distributed over the area of Bologna. A groundwater flow simulation model has been finally formulated in order to derive the undisturbed pre-existing water level, to identify the effects of the actual groundwater withdrawal and to predict the modifications induced by possible future exploitations.

Keywords: Settlements; Seepage; Model; Spatial analysis.

1. INTRODUCTION

In the second half of the past century intensive groundwater extraction was made in the Valley by well pumping from the subsoil bearing strata, in order to satisfy the increasing demand of water due to the rapid growth and concentration of inhabitants and economical activities. Such a strong groundwater exploitation induced significant modifications on the groundwater flow regime and different undesired effects on the urban and natural environments. One main consequence, also recorded in other lowland areas of the world [USGS, 1999], was a marked increase of ground subsidence observed around the urban areas. In fact, while the whole is subjected to a long term natural subsidence of few millimetres per year, produced by the self weight consolidation of the high thickness alluvial deposits, in the period after 1950 some cities of (Milano, Venezia, Ravenna and Bologna are the most enlightening cases), suffered very high settlements, reaching in some cases rates of dozens centimetres per year [Carminati and Martinelli, 2002]. This situation induced several local institutions to undertake investigations aimed to discover the causes of such unexpected movements and to quantify their extent. However, due to the large extension of the subsiding areas, to the natural delay of the phenomenon and to the lack of a comprehensive investigation method, covering all the different aspects of the problem, only qualitative conclusions could be retrieved for long time. It is nowadays possible to process the large amount of data collected over the years on large geographical

1386 G. Darini et al./ Land subsidence induced by groundwater extraction: the case of Bologna areas by means of dedicated software and to perform more complete analysis of the phenomena. This is the situation for the city of Bologna, which is the case presented in this paper. After the second world war, the city experienced a significant demographic growth and industrial development. In particular, from 1950 to 1960, the population increased of about 33% (from 330.00 to 440.000 inhabitants) (Fig. 1.c) [Osservatorio Astronomico di Bologna, 2007]. To meet the subsequent water requirements, a large number of deep pumping wells was excavated all around the city (Fig.1). In the same period, intensive subsidence was observed, distributed with different settlement rates, all over the urban area [Pieri and Russo, 1985]. The most clear sign of correlation between well pumping and subsidence can be inferred by comparing the similar time progressions of the cumulated number of wells and of recorded settlements at a typical monitored benchmark (Fig.1.b).

N agricultural

Reno civil (I-IV see tab 1.b) industrial (a) I deep borehole (Fig. 2.c) II III monitored benchmark Bologna IV pede-apenninic line alluvial fan 0 3000m section of Fig.2.a

year year

1950 1960 1970 1980 1990 2000 (m asl) monitored benchmark 0 32 1900 1920 1940 1960 1980 2000 2020 10 (b) 0 20 31 (c) 30 100.000 40 200.000 30 50 300.000 60 29 400.000 wells total number 70 Population 80 500.000 90 28 600.000

Figure 1. Map of Bologna area (a); progression with time of well’s number and ground level at a monitored benchmark (b); population growth [Regione – UnionCamere, 2007] (c).

The plot shows that the most sharp increase of well number is concentrated in the period between 1960 and 1975, while the maximum settlement rate occurred after 1970. Explanation for such delay requires a more detailed analysis on the type of wells and the relative amount of water withdrawn from each of them. To this aim, a distinction of extracted water depending on its different uses (namely civil, industrial and agricultural), provided for two years by Vassena [2003], shows that the larger amount of water is withdrawn for civil activities (tab.1.a). Furthermore, it must be considered that while the agricultural and industrial activities are more numerous and widely distributed all over the country surrounding Bologna, the most active aqueduct wells (tab.1.b), excavated in a relatively short period around 1970, are concentrated only in four zones within the two alluvial fans of and Savena Rivers (Fig.1.a). Information available for the present analysis concerns ground movements, subsoil characteristics, groundwater flow and piezometric heads. These different data, collected in the past decades, have been included into a Geographical Information System (GIS), covering an area of about 200 square kilometres, to seek a mechanical interpretation of the observed phenomena. In order to correlate the different variables, each of them characterised by an independent spatial distribution of measures, interpolation over the considered area has been achieved by means of geo-statistical methods which consider each

1387 G. Darini et al./ Land subsidence induced by groundwater extraction: the case of Bologna measure as a sample of a statistical population. A mathematical model (theoretical variogram), defined to simulate the statistically observed spatial variability of measures (experimental variogram), forms the basis for interpolation of measures over the study area by means of a Kriging method [Matheron, 1971]. By this method all the different considered variables have been evaluated on the same grid of points uniformly distributed over the Bologna area with a spacing of 500 m.

Table 1. Groundwater volumes extracted in the years 1985 and 2002 (a. water extraction distinguished by use; b. water extracted from each single civil well) [Vassena, 2003].

Use Civil Industrial Agricultural Zootechnical Total Year Groundwater withdrawal 43.9 18.4 5.1 1.1 68.5 1985 (a) 6 3 (10 m /year) 38.5 22.7 9.5 0.6 71.3 2002

Well location name S. Vitale. Borgo Panigale Tiro a segno Fossolo Year Position in Fig.1.a I II III IV

Groundwater withdrawal 12.1 12.1 13.2 6.5 1985 (b) 6 3 (10 m /year) 12.7 12.5 7.9 5.4 2002

2. SUBSOIL CHARACTERISTICS

The city of Bologna is located in the southern part of the Po Valley, at the foothills of the Apennines. From a geological viewpoint, the Po Valley can be considered as the result of a foreland basin evolution process [Carminati and Martinelli, 2002] with the Apennines and the plain presently interested by different evolution processes. The Po Valley links the padanian-adriatic sector with the external portion of the thrust belt composed by the tectonic units of the Upper Miocene – Quaternary, currently subjected to tectonic up-lift movements and consequent erosive processes [Bartolini et al., 1996]. Starting from the middle Plio-Quaternary, when the whole Po valley was an extension of the present , the basin was gradually filled by alternations of marine and continental sediments, the latter coming from the erosion of the Apennines [Amorosi et al.,1996]. This dynamic evolution caused the transition line between the continental slope and the marine basin to progressively advance eastward [RER and ENI-AGIP, 1998]. A comprehensive subsoil reconstruction of the southern part of the Po Valley is available thanks to a study carried out for oil and water exploitation [RER and ENI-AGIP, 1998]. Combining boreholes and deep wells stratigraphies together with seismic investigation results, three thick aquifer groups, named respectively A (shallow), B (intermediate) and C (deep), were identified. Each group consists of alternation of coarse and fine grained soil strata and is separated from the others by thick impervious barriers of regional extension [Farina et al., 2000]. The group A in the Bologna area is mainly formed by the two big alluvial fans of Reno and Savena rivers (Fig.2.a), which are the most important groundwater supplies of the city [Elmi, 1984]. It is thus reasonable to consider that the water originally permeated from the alluvial fans spread into the pervious layers of the plan area, forming a relatively shallow water table which encouraged people to undertake groundwater extraction. From a more detailed investigation of the subsoil composition, obtained by the logging of a deep borehole retrieved in the valley (Fig.2.b), a recurrent stratification of relatively thin layers of coarse and fine grained soils is seen, meaning that these two soil types are mutually penetrating and cannot be clearly distinguished on the map (the border of the shaded area traced in Fig.1.a, represents only the limit of the alluvial fan portion outcropping at the ground level). Starting from the RER and ENI-AGIP [1998] study, the analysis over the Bologna area has been further developed [Darini, 2007]. In fact, for each aquifer group, the study reports contour maps respectively of the bottom depth and of the cumulated thickness of coarse grained deposits (considering these latter as the more pervious and thus useful for water exploitation).

1388 G. Darini et al./ Land subsidence induced by groundwater extraction: the case of Bologna

These contour maps have been digitalised and interpolated by means of a geostatistical analysis, over an area of 15x15 km2 around Bologna (Figs.3.a and b), with the aim of calculating the cumulated thicknesses of fine grained soil deposits as differences between total and coarse grained soil thickness (Fig.3.c). The results of this analysis for the topmost aquifer group (A), which has been considered, due to its upper position, as the main responsible for the observed subsidence, show that the maximum cumulated thickness of fine grained soils occurs at the boundary of the two alluvial fans of the Reno and Savena rivers.

S-SO N-NE deep (m) 50 0

-50 A (b)

-150 100 C B -250 impervious limits sand 200 limit A - B (a) gravel silt-clay coarse grained

missing data fine grained 300

Figure 2. Litho-stratigraphical representation of the Bologna subsoil obtained from a cross section (a) traced along the Reno river [modified from Regione Emilia-Romagna , 2007] and from a deep borehole (b) whose plan position is shown in fig.1 [modified from IDROSER, 1989].

0 3000m N 0 3000m N 0 3000m% N Reno Reno Reno

Bologna Bologna Bologna Savena Savena (a) (b) Savena (c)

Figure 3. Aquifer Group A: total thickness (a), cumulated coarse grained soil thickness (b), cumulated fine grained soil thickness (c).

0,50 80 deep borehole deep borehole 0,40 shallow borehole 60 shallow borehole 0,30 40 0,20 20 0,10 0 Plastic index PI Plastic index 0,00 0,10 0,30 0,50 0,70 0 20406080 Plasticity index (%) index Plasticity Liquid limit wL Clay fraction (%)

Figure 4. Casagrande plasticity chart for fine grained soil.

The physical and mechanical characteristics of the subsoil in the whole area have been investigated by collecting the available results of fields and laboratory tests performed at

1389 G. Darini et al./ Land subsidence induced by groundwater extraction: the case of Bologna different locations and depths. From this analysis a randomly distributed grain size composition of fine grained soils is seen over the considered area with a predominant fraction of silt (ranging between 40 and 60%), a slightly lower content of clays (from 10 to 50 %) and a small percentage of sand (from 0 to 20 %). The overall homogeneity of this soil can be also seen from the Casagrande plasticity chart, and the activity reported in (Fig.4) by distinguishing with different dots the values obtained on samples taken at a depth from the ground level between 50 and 300 m from those taken at more shallow depths. The plot shows a similar scattering for both sets of data, with the random position of the points on the diagram dictated by the different amount of clay. Similar conclusions can also be retrieved for the mechanical characteristics of these deposits. In fact, even though a scattering is generally observed on the different parameters, the average values and coefficient of variation do not show significant spatial differences. The average values and the standard deviations for the compressibility, swelling and consolidation indexes, obtained from all the performed tests, are summarised in table 2. One last comment for these deposits concerns their stress history, which has been evaluated by means of the over consolidation ratios (OCR), estimated by oedometer tests. These values are equal to about 6 near the ground level and gradually decrease to 1 at about 20 m depth, showing that the fine grained deposit can be thus assumed as globally normal consolidated, apart from their shallow portion affected by water table fluctuations.

Table 2. Compressibility, swelling and consolidation coefficients of fine grained soils.

2 λ κ cv (cm /s) Average 0,120 0,030 6,3E-03 St.Dev. 0,036 0,015 3.69E-02

Concerning the coarse grained soils, several pumping tests [RER and ENI-AGIP, 1998] gave values of the Darcy’s coefficient ranging between 10-3 and 10-5 m/s without showing any clear spatial distribution. Simplifying assumptions will be introduced concerning this aspect for the analysis developed in the next paragraph.

3. GROUNDWATER SEEPAGE

The distribution of water heads in the subsoil of Bologna could be estimated only for the period after 1976, i.e. when measurement of water level on about 150 different types of wells was started [Regione Emilia Romagna, 2007]. A sample of piezometric heads contour map obtained by interpolation of the average water level measured in 1985 for the aquifer group A shows a strong water table depression within the alluvial fan of the Reno river. If flow lines are traced orthogonally to the constant head curves, a clear convergence of water is observed toward the zone where the most important pumping activity is concentrated. Unfortunately, the available water head measurements do not allow to calculate the water table drop induced by water pumping. Based on hystorical information from the XIX century reporting groundwater outcrops near the ancient road named “via Emilia”, previous analysis by Vassena [2003] estimate this head lowering by considering the water table originally located at the ground surface. In the present study, this aspect has been tackled by modelling the water flow regime with a numerical two dimensional finite-difference model [Modflow + Groundwater Vistas, version 3, 2001]. This analysis has been conducted to the upper aquifer group (A), from which most of the water is extracted, by assuming a perfectly impermeable layer at its bottom. To this aim the area reported in figure 3, extending over 15X15 squared kilometres with side boundaries falling out of the influence region of the most active wells [Kezdi e Marko, 1969], has been subdivided into a regularly distributed square grid of 500 meters spacing. According with the previously recalled RER and ENI- AGIP [1998] study the thickness on each vertical has been calculated as equal to the difference between ground and bottom levels. Two numerical simulations have been performed respectively for the two years 1985 and 2002, for which estimates of the extracted water volumes are available (see tab.1). In particular, the water flow withdrawn from each industrial well has been assigned by equally subdividing the total amount of water extracted for industrial purpose, while direct estimations are available for the four

1390 G. Darini et al./ Land subsidence induced by groundwater extraction: the case of Bologna civil wells located in the study area. The boundary conditions at the contour of the considered area have been provided by assigning nil water flow on the Apennines and the water head values interpolated from measurements on the valley and the alluvial fan. The subsoil permeability for any plan position (x,y) has been computed by the following relation:

af yxS ),( ),( KyxK * ⋅= (1) t yxS ),(

where St and Saf represent respectively the total thickness of the aquifer group and the cumulated thickness of the coarse grained soils evaluated in each position (x,y) (see Fig. 3.a and b). K* is a reference permeability value, equal to 3.5*10-4 m/s (i.e. within the estimated limits of coarse grained soils), found by a trial and error procedure in order to match the measured water head. Considering the large simplification introduced in the model, the comparison between water heads obtained from the calculation and from the interpolation of measurements is generally satisfactory for both years 1985 and 2002 (Fig.5.b). This seepage model has been then applied to observe the groundwater regime under different conditions. In particular, if the industrial wells are virtually turned off in the analysis it is readily observed that their effect on the position of the groundwater table is negligible. On the contrary, the extraction for civil use is the most important responsible for the water head drop observed in the central part of the alluvial fan of the Reno river. Finally nil flow has been assigned to all wells to recover the original undisturbed position of the water table (i.e. free of well pumping) which is unknown.

) (a) Reno N 20 (b) alluvial fan contour m a.s.l. 15 ( civil wells 10 5

industrial 0 wells -20 -15 -10 -5 0 5 10 15 20 -5

Bologna 0 3000m calcolati valori -10 iezometric head p -15 2002 Savena -20 1985 Piezometric head from measures (m a.s.l.) Modelled Modelled N (c) Reno

Bologna alluvial fan Savena 0 3000m

Figure 5. Water head in the Bologna area (a. contour map of water head from measurements (1985); b. modelled vs measured water heads for 1985 and 2002; c. water head reduction Δh (m) due to well pumping).

Once this position is established, the patterns of water head reduction due to any assigned extraction activity can be obtained. A representative situation of the largest observed water head drop in the area can be obtained by considering the extraction activity of 1985 and by calculating the corresponding water head drop (Fig. 5.c).

4. GROUND SURFACE SETTLEMENTS

The ground surface settlements have been monitored by different geometrical levelling campaigns carried out by local authorities. A first levelling network consisting of 200

1391 G. Darini et al./ Land subsidence induced by groundwater extraction: the case of Bologna benchmarks positioned primarily along the “via Emilia” was installed between 1950 and 1980 from the Management District of the Reno River Basin. These points were partly incorporated in a more extended and dense net of 500 benchmarks by the Municipality of Bologna which promoted four extensive measurement campaigns respectively, in 1983, 1987, 1992 and 1999. The settlements recorded on one particular benchmark common to the two networks are reported in fig.1.b. In order to calculate the settlements distribution all over the study area in a period covering the subsidence phenomenon, interpolation of levelling measures has been performed by means of geostatistical analysis. By this operation different contour maps could be drawn for different selected periods. Two examples of settlement contour maps respectively for the two periods 1972-1997 and 1983- 1999 are reported in Fig.6.a and b. These maps show a typical characteristic of geostatistical interpolation. In fact, compared to the 1983-1999 map, which is based on a larger number of homogeneously distributes measures, the 1972-1997 map is less accurate, as also confirmed by the numerical tests performed on such interpolation. However, independently of the observation period which obviously influences the amount of observed settlement, both maps show the typical subsidence pattern of the Bologna’s area, with larger settlements occurring around the two alluvial fans.

(a) Reno N (b) Reno N

Bologna Bologna

Savena 0 3000m 0 3000mSavena

Figure 6. Geometrical levelling over the area of Bologna (a. contour map of settlements (m) in the period 1972-1997; b. same for 1983-1999).

0,01 0,03 0,009 (b)

0,025 (a) 0,008 at at 0,007 0,02 /S

/S 0,006 0,015 0,005 0,004

72-97 0,01 83-99 0,003 w 0,005 w y = 0,0001 x y = 0,0003 x 0,002 0 0,001 0 0 20 40 60 80 100 0 20406080100 Δh (m) Δh (m)

Figure 7. Settlement per unit fine grained soil thickness versus water head reduction (a. period 1972-1997; b. period 1983-1999).

Such observation suggests to relate the ground surface settlements (w) (Fig. 6.a and b) at the different positions to the corresponding cumulated thickness of fine grained soils (Sat) (Fig. 3.c). The ratio between these two quantities, calculated on the same grid points previously adopted for the calculation of water head reduction, is expressed in Figs.7 as a function of the water head drop Δh (Fig. 5.c). From both plots, which refer respectively to two different periods of observation (Fig.7.a to 1972-1997; Fig.7.b to 1983-1999), a clear increasing trend is observed between these two quantities. The larger scattering of points on the former plot (±50% around the average line) compared to the second (±20% around the average line) can be partly considered as an effect of the different accuracy in the interpolation of settlements for the two periods. However, by comparing the average trend on these two plots, it is seen that the rate of settlement occurred in the period 1972-1983 has been almost four times larger than after 1983.

1392 G. Darini et al./ Land subsidence induced by groundwater extraction: the case of Bologna

5. CONCLUSIONS

A quantitative back analysis has been conducted in order to study the ground subsidence induced in the Bologna area by intensive water exploitation. Multi-temporal large scale analyses have been performed combining into a Geographical Information System different types of information and large amount of data regarding subsoil conditions, water levels and measured settlements. Interpretation of the complex observed pattern of subsidence has been provided by finding a close relation between settlements, cumulated thickness of fine grained soils deposits and water head reductions. In particular, the analysis on these latter performed by means of numerical modelling have revealed the predominant role of water withdrawal from the two alluvial fans of Reno and Savena rivers, carried out for civil purposes. As a more general comment, the large amount of data collected in the past decades and the availability of information tools capable of quickly processing them on large geographical scales, allowed to make profit of the past experiences on such coupled hydro-mechanical phenomenon and to derive a lesson for future more balanced managements of the groundwater source.

REFERENCES

Alessi, R., La subsidenza nel centro storico della città di Bologna. Il grado di dissesto dei fabbricati nella zona di via Zamboni. Inarcos, n. 456, 1985. Amorosi, A., Farina, M., Severi, P., Preti, D., Caporale, L. & Di Dio, G., Genetically related alluvial deposits across active fault zones: an example of alluvial fan-terrace correlation from the upper quaternari of the southern Po Basin, Italy, Sedimentary Geology, 102, 275-295, 1996. Bartolini, C., Caputo, R., & Pieri, M., Pliocene–Quaternary sedimentation in the Northern Apennine Foredeep and related denudation, Geological Magazine, 133(3), 255−273, 1996. Carminati, E., Martinelli, G., Subsidence rates in the Po Plain, northern Italy: the relative impact of natural and anthropogenic causation, Engineering Geology, 66, 241-255, 2002. Darini, G., Land subsidence due to groundwater withdrawal: the case of Bologna, Ph.D. thesis, Università degli Studi di Cassino (Italy), 2007. Elmi, C., Bergonzoni, A., Massa, T., Montaletti, V., Barattella, P.L., Ronchi, A., Il territorio di pianura del Comune di Bologna: aspetti geologici e geotecnica, Giornale di Geologia, 46(2), 127-152, 1984. Farina, M., Simoni, M., Passuti, I., Il complesso idrogeologico superficiale nel contesto della città di Bologna, Il geologo, 11, 2000. Groundwater Vistas-Modflow, version 3, Environmental Simulations Inc., 2001. IDROSER, Studio sul fenomeno della subsidenza nel territorio bolognese. Comune di Bologna, 1989. Matheron, G., The Theory of Regionalized Variables and Its Application – Spatial Variabilities of Soil and Landforms. Fontainebleau, Les Cahiers du Centre de Morphologie Mathematique 8, 1971. Osservatorio Astronomico di Bologna, 2007, from http://www.bo.astro.it website. Pieri, L., Russo, P., Situazione attuale delle ricerche sull’abbassamento del suolo nel territorio bolognese. Inarcos, 456, 1985. Regione Emilia Romagna and ENI-AGIP, Riserve idriche sotterranee della Regione Emilia- Romagna. S.EL.CA. (Firenze), 1998. Regione Emilia Romagna, 2007, from http://www.regione.emilia-romagna.it website. Regione Emilia Romagna – UnionCamere, 2007, from http://www.rer.camcom.it/datiecon website. USGS, Land subsidence in the United States, edited by Devin Galloway, David R. Jones, S.E. Ingebritsen, 1999. Vassena, C., Sviluppo e applicazione di modelli di flusso delle acque sotterranee nella conoide alluvionale del fiume Reno, Ph.D. thesis, Università degli Studi di Milano, 2003.

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