Fractional governing equations of transient groundwater flow in unconfined aquifers with multi-fractional dimensions in fractional time

Kavvas, M. L.; Tu, Tongbi; Ercan, Ali; Polsinelli, James

doi:10.5194/esd-11-1-2020

Cited by 4 publications

(3 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For validation of the main governing Equation 15, a numerical example that deals with seepage through a dam under sudden change of the downstream water surface elevation is modified based on p. 53 and Problem 4.4(a), p. 89 in Wang and Anderson (1995) and can also be found in Kavvas et al (2020). This example corresponds to the case where b = 0, c = 0, γ = 0, q v = 0 (horizontal, no concavity, no water movement in the transverse direction and no vertical recharge) in Equation 15.…”

Section: Numerical Assessment Of the Developed Theorymentioning

confidence: 99%

Multidimensional Governing Equations of Matrix Flow Component of Subsurface Stormflow as Function of Bedrock Surface Geometry

Kavvas

Ercan

et al. 2022

Water Resources Research

Self Cite

View full text Add to dashboard Cite

Subsurface flow is a critical component in the hydrological cycle, since it controls the quantity and timing of surface runoff and groundwater flow. Field studies have shown the fundamental influence of the bedrock surface geometry on subsurface stormflow (SSSF) and that the SSSF process consists of at least two major components: the matrix flow component and the macropore flow component that are in dynamical interaction toward forming the SSSF. Furthermore, field studies have shown that the bedrock surface that underlies the SSSF has essentially a two‐dimensional (2D) geometry, where not only the longitudinal profile along the hillslope but also the profile in the transverse direction influence the subsurface stormflow over the bedrock. The macropore flow itself being a multidimensional flow process, requires a multidimensional matrix flow component in order to quantify realistic dynamical interactions between these components within the subsurface stormflow module of a watershed hydrology model. Within this framework, the critical research question is how to extend the existing 2D Boussinesq model for the matrix flow over an inclined flat 2D surface in the longitudinal hillslope direction by developing the governing equations of matrix flow at hillslope scale over various 2D bedrock surface geometries that are reported in the field studies of SSSF. Then, numerical experiments are performed by applying the developed governing equations to various bedrock surface geometries. The results of the numerical simulations show (a) the proposed governing equations can simulate various two‐dimensional bedrock surface geometries, and are capable of incorporating the upward or downward concavity of bedrock surface in longitudinal and transverse directions into SSSF by modulating the timing and magnitude of the flows and (b) the proposed governing equations for matrix flow provide an appropriate setting for the dynamical interaction of the matrix flows with the macropore flows, creating a promising modeling framework for SSSF.

show abstract

Section: Numerical Assessment Of the Developed Theorymentioning

confidence: 99%

Multidimensional Governing Equations of Matrix Flow Component of Subsurface Stormflow as Function of Bedrock Surface Geometry

Kavvas

Ercan

et al. 2022

Water Resources Research

Self Cite

View full text Add to dashboard Cite

show abstract

“…Since the study area represents the reasonably uniform unconsolidated sediments (CGWB, 2011), we use the average specific yield (0.13) calculated from the gridded (0.1 × 0.1 ) map of India (Bhanja et al, 2016).The monthly gridded (1 × 1 ) GRACE TWS anomalies utilised in this study are available from the Center for Space Research (CSR), the Jet Propulsion Laboratory (JPL), and the GRGS GRACE solution (CNES/GRGS release RL03-v1) from the French space agency, Centre National D'études Spatiales (CNES). In order to reduce the uncertainty with different GRACE processing strategies (Shamsudduha & Taylor, 2020;Van Loon et al, 2017), we initially estimate the ensemble mean TWS from the three GRACE solutions during August 2002 to July 2016. The ensemble mean GWS is also calculated by removing other components of TWS, including soil moisture storage (SMS), surface water storage (SWS), and snow water storage (SNS).…”

Section: And Spaceborne Grace Datamentioning

confidence: 99%

Groundwater depletion in northern India: Impacts of the sub‐regional anthropogenic land‐use, socio‐politics and changing climate

Panda

Ambast

Shamsudduha

2020

Hydrological Processes

View full text Add to dashboard Cite

Understanding the key drivers behind intensive use of groundwater resources and subsequent depletion in northern India is important for future food security of India. Although spatio-temporal changes of groundwater storage (GWS) and its depletion in northern India are mapped using the NASA's GRACE (Gravity Recovery and Climate Experiment) records, the sub-regional diverse socio-political and environmental factors contributing to the variability in groundwater withdrawals and renewals are not well documented. Here, we provide new evidence on changes in GWS at different spatial scales using both observations and satellite-based measurements applying both parametric and non-parametric statistical analyses. The substantial loss of GWS has occurred since the beginning of the 21st century, and the decline in GWS is associated with some record-breaking dry and hot climate events. We present how certain state-based policy decisions, such as supplying free electricity for irrigation, prompted farmers to extract groundwater unsustainably and thus led to widespread GWS deletion, which has been also accelerated by frequent dryness and rising temperatures. In the hotspot of Punjab, Haryana and Delhi of northern India, the extracted groundwater during 1985-2013 is equivalent to a metre-high layer if spread uniformly across its geographical domain. We find that the groundwater storage loss in northern India has increased rapidly from 17 km 3 to 189 km 3 between the pre-2002 and 2002-2013 periods. This loss in northern India is, therefore, an excellent example of rapid surface greening and sub-surface drying-a result of an interplay of socio-political and environmental factors. As groundwater continues to be treated as a common natural resource and no clear definition exists to guide policymaking, this study also illustrates how the administrative district level approach can solve the widespread problem of depletion. K E Y W O R D S climate extremes, food security, groundwater depletion, indo-Gangetic plain aquifer, land-use change, socio-political drivers 1 | INTRODUCTION As many regions around the world have started to experience more severe droughts accompanied by a hotter-than-normal climate (i.e., dry and hot events) (Overpeck, 2013), the ubiquitous pressure on freshwater resources is imminent. Specifically, groundwater storage (GWS) losses in the world's agriculturally-important aquifer systems have captured considerable attention of scientific community and policy makers (Dalin et al., 2017; Famiglietti, 2014; Gleeson et al., 2012). This raises the key scientific question-can groundwater act as a

show abstract

“…With the rapid development of computer technology, generalized numerical simulation models based on groundwater flow systems have been widely applied in foreign studies [12,13]. In 1935, the appearance of the Theis formula had laid a foundation for the construction of unsteady flow models of groundwater flow systems [14].…”

Section: Introductionmentioning

confidence: 99%

Groundwater Flow Calculation Model and Neural Network Prediction Based on Groundwater Modeling System

Bo¹,

Cheng²,

Sun³

2020

I2M

View full text Add to dashboard Cite

Due to its merits of good water quality, pollution-free, and wide range, groundwater has become an important source for the water supply of industry, agriculture and urban domestic living in China. The change trends and laws of groundwater level and flow are important basis for the scientific planning and reasonable management of groundwater. In order to obtain a more accurate 3D groundwater flow model, first, this paper constructed a Groundwater Flow Calculation (GFC) model based on the Groundwater Modeling System (GMS), and analyzed the periodic groundwater recharge, the tridimensional flow space, the complex streamline combination, and the concurrent flow direction; then, the paper gave the preprocessing process of the calculated parameter data of groundwater flow, and built a grayscale-embedded BP neural network to predict the groundwater flow. At last, the paper verified the effectiveness of the model with experimental results. This study provided a reference for the flow prediction of other similar fields and the research on groundwater evaluation.

show abstract

Fractional governing equations of transient groundwater flow in unconfined aquifers with multi-fractional dimensions in fractional time

Cited by 4 publications

References 34 publications

Multidimensional Governing Equations of Matrix Flow Component of Subsurface Stormflow as Function of Bedrock Surface Geometry

Multidimensional Governing Equations of Matrix Flow Component of Subsurface Stormflow as Function of Bedrock Surface Geometry

Groundwater depletion in northern India: Impacts of the sub‐regional anthropogenic land‐use, socio‐politics and changing climate

Groundwater Flow Calculation Model and Neural Network Prediction Based on Groundwater Modeling System

Contact Info

Product

Resources

About