Estimating hydraulic conductivity for the Martian subsurface based on drainage patterns — A case study in the Mare Tyrrhenum Quadrangle

Luo, Wei; Grudzinski, Bartosz; Pederson, Donald O.

doi:10.1016/j.geomorph.2010.10.018

Cited by 18 publications

(19 citation statements)

References 37 publications

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“…The vertical trends of K in consolidated rocks are clearer in the field because diagenetic and metamorphic processes occur at depths on only the kilometer scale. The results of those studies were commonly that K exponentially or logarithmically decreased with depth, and that decay exponents varied on the order of 1 × 10 -2 to 1 × 10 -4 m -1 at specific sites (Manning and Ingebritsen 1999;Saar and Manga 2004;Ingebritsen et al 2006;Luo et al 2011). In contrast, the depth dependence of K in unconsolidated gravel deposits has rarely been discussed because porosity reduction by compaction is of less importance in clean coarse sediments than in fine sediments, and determined relations between porosity and K are seldom adhered to in natural coarse sediments (Morin 2006;Kresic 2007).…”

Section: Introductionmentioning

confidence: 99%

Dépendance à la profondeur et modèles exponentiels de perméabilité dans des cônes de déjection graveleux

Sakata

Ikeda

2013

Hydrogeol J

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Abstract:To determine depth dependence of permeability in various geologic deposits, exponential models have often been proposed. However, spatial variability in hydraulic conductivity, K, rarely fits this trend in coarse alluvial aquifers, where complex stratigraphic sequences follow unique trends due to depositional and post-depositional processes. This paper analyzes K of alluvial-fan gravel deposits in several boreholes, and finds exponential decay in K with depth. Relatively undisturbed gravel cores obtained in the Toyohira River alluvial fan, Sapporo, Japan, are categorized by four levels of fine-sediment packing between gravel grains. Grain size is also analyzed in cores from two boreholes in the mid-fan and one in the fan-toe. Profiles of estimated conductivity, K , are constructed from profiles of core properties through a well-defined relation between slug-test results and core properties. Errors in K are eliminated by a moving-average method, and regression analysis provides the decay exponents of K with depth. Moving-average results show a similar decreasing trend in only the mid-fan above ~30-m depth, and the decay exponent is estimated as ≈0.11 m -1 , which is 10-to 1000-fold that in consolidated rocks. A longitudinal cross section is also generated by using the profiles to establish hydrogeologic boundaries in the fan.

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Section: Introductionmentioning

confidence: 99%

Dépendance à la profondeur et modèles exponentiels de perméabilité dans des cônes de déjection graveleux

Sakata

Ikeda

2013

Hydrogeol J

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“…A similar idea has been proposed to estimate K from drainage patterns on Earth and Mars [Luo et al, 2010[Luo et al, , 2011Luo and Pederson, 2012]. Inversely, if water table outcrops are known, it could be used to obtain first-order estimates of parameters such as hydraulic conductivity, recharge, or depth-to-impervious base, depending on which one of these parameters is known/unknown (see application example below).…”

Section: Discussionmentioning

confidence: 99%

Hydrogeological controls of water table‐land surface interactions

Bresciani

Goderniaux

Batelaan

2016

Geophysical Research Letters

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Interactions of the water table with the land surface impact a wide range of hydrologic, climatic, ecologic, and geomorphologic processes. Yet the factors controlling these interactions are still poorly understood. In this work, a new 2‐D (cross‐sectional) analytical groundwater flow solution is used to derive a dimensionless criterion that expresses the conditions under which the water table “outcrops” (i.e., reaches the land surface). The criterion gives insights into the functional relationships between geology, topography, climate, and resulting water table outcrops. This sheds light on the debate about the topographic control of groundwater flow, as the effective role of the topography is to constrain the water table only where it outcrops. The criterion provides a practical tool to predict water table outcrops if physical parameters are known and to estimate physical parameters if on the contrary water table outcrops are known. The latter aspect is demonstrated through an application example.

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“…The dilation operation calculates the maximum elevation within a moving circular window centered on a target cell in the original DEM. The closing operation calculates the minimum elevation within a moving circular window centered on a target cell from the dilation result (Rodriguez et al, 2002;Luo et al, 2010Luo et al, , 2011. A threshold value t is applied to remove noise in the data to obtain valley depth at each pixel within the valley.…”

Section: Introductionmentioning

confidence: 99%

A progressive black top hat transformation algorithm for estimating valley volumes on Mars

Luo

Pingel

Heo

et al. 2015

Computers & Geosciences

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a b s t r a c tThe depth of valley incision and valley volume are important parameters in understanding the geologic history of early Mars, because they are related to the amount sediments eroded and the quantity of water needed to create the valley networks (VNs). With readily available digital elevation model (DEM) data, the Black Top Hat (BTH) transformation, an image processing technique for extracting dark features on a variable background, has been applied to DEM data to extract valley depth and estimate valley volume. Previous studies typically use a single window size for extracting the valley features and a single threshold value for removing noise, resulting in finer features such as tributaries not being extracted and underestimation of valley volume. Inspired by similar algorithms used in LiDAR data analysis to remove above-ground features to obtain bare-earth topography, here we propose a progressive BTH (PBTH) transformation algorithm, where the window size is progressively increased to extract valleys of different orders. In addition, a slope factor is introduced so that the noise threshold can be automatically adjusted for windows with different sizes. Independently derived VN lines were used to select mask polygons that spatially overlap the VN lines. Volume is calculated as the sum of valley depth within the selected mask multiplied by cell area. Application of the PBTH to a simulated landform (for which the amount of erosion is known) achieved an overall relative accuracy of 96%, in comparison with only 78% for BTH. Application of PBTH to Ma'adim Vallies on Mars not only produced total volume estimates consistent with previous studies, but also revealed the detailed spatial distribution of valley depth. The highly automated PBTH algorithm shows great promise for estimating the volume of VN on Mars on global scale, which is important for understanding its early hydrologic cycle.

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Estimating hydraulic conductivity for the Martian subsurface based on drainage patterns — A case study in the Mare Tyrrhenum Quadrangle

Cited by 18 publications

References 37 publications

Dépendance à la profondeur et modèles exponentiels de perméabilité dans des cônes de déjection graveleux

Dépendance à la profondeur et modèles exponentiels de perméabilité dans des cônes de déjection graveleux

Hydrogeological controls of water table‐land surface interactions

A progressive black top hat transformation algorithm for estimating valley volumes on Mars

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