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lacunarity

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Journal Article
Published: 01 August 2013
Vadose Zone Journal (2013) 12 (3): vzj2012.0210.
... properties because of their spatial arrangement. This work focuses primary attention on the geometrical structure of the geographical patterns of soils in Europe. We made use of the European Soil Database to estimate lacunarity indexes of the most abundant soils that cover 92% of the surface of Europe...
FIGURES | View All (7)
Journal Article
Published: 01 February 2009
Vadose Zone Journal (2009) 8 (1): 233–241.
...) introduction, (ii) 6 min after tracer introduction, and (iii) 78 min after tracer introduction. The macropore network and tracer distribution were reconstructed at the five scanned positions. Relative lacunarity functions (RLFs) and pore fractal dimensions, in both two and three dimensions, were calculated...
FIGURES | View All (7)
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Plot illustrating distinct patterns of pore configuration among samples and...
Published: 15 July 2020
. The sample as shown in (A) includes relatively small, evenly distributed pores, whereas the sample as shown (B) includes relatively clumped, isolated pores. (C) Lacunarity distributions from samples as shown in (A) and (B). Note the sample as shown in (B) displays higher lacunarity at each box size, which
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Figure  7. <span class="search-highlight">Lacunarity</span> analysis of the sequence in  Figure 5, showing  the s...
Published: 01 January 2001
Figure 7. Lacunarity analysis of the sequence in Figure 5, showing the straight line with a negative slope characteristic of self-similar multifractal sequences. Also shown is the lacunarity function for a randomized version of the same data sequence. The concave-upward curve is representative
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<span class="search-highlight">Lacunarity</span> plots for all subfacies (A-G). <span class="search-highlight">Lacunarity</span> measures the &quot;gappines...
Published: 01 September 2002
Figure 7 Lacunarity plots for all subfacies (A-G). Lacunarity measures the "gappiness" of a geometric structure, and power-law relationships between box size and lacunarity are evident. The data for the exposed levee-beach ridge (F) and high algal marsh (E) fall closest to a straight line
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Plot of the <span class="search-highlight">lacunarity</span> of the drainage system (Λ) vs. the <span class="search-highlight">lacunarity</span> of the...
Published: 01 August 2013
Fig. 7. Plot of the lacunarity of the drainage system (Λ) vs. the lacunarity of the first-order streams (Λ 1 ) for the plutonic (P), metamorphic (M), and sedimentary (S) lithologic units.
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Scatter plots of <span class="search-highlight">lacunarity</span> v. ( a ) the NTG ratio of the model volume and ...
Published: 17 July 2015
Fig. 16. Scatter plots of lacunarity v. ( a ) the NTG ratio of the model volume and ( b ) the sandbody density (i.e. the number of sandbodies per unit area) in cross-sections from models based on the exposure ‘windows’ (e.g. Fig. 12 ). Plots show data from model realizations containing sandbody
Journal Article
Journal: Interpretation
Published: 04 July 2016
Interpretation (2016) 4 (3): T387–T394.
.... Lacunarity is a parameter that is used for multiscale analysis of spatial data. In quantitative terms, at any given scale, it is a function of the mean and variance of the distribution of masses captured by a gliding a window of that scale (size) across any pattern of interest. We have described...
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Scatter plot of the connected sand fraction (i.e. the fraction of sandstone...
Published: 17 July 2015
for each grey–red and grey–blue bar in Fig. 14 ). Data points are coloured to indicate the lacunarity of model cross-sections (e.g. Fig. 12 ). Models dominated by clustered sandbodies and relative spatial heterogeneity (lacunarity >0.35) generally have low values of connected sand fraction. Models
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A schematic diagram showing how the clay will be accumulated in the larger ...
Published: 17 June 2021
, clay pores. SL, lacunar pore due to sand-sized particles; ZL, lacunar pore due to silt-sized particles. Figure modified from Fiès and Bruand (1998) .
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Figure  8. <span class="search-highlight">Lacunarity</span> analyses of the origination sequence NO and the extin...
Published: 01 January 2001
Figure 8. Lacunarity analyses of the origination sequence NO and the extinction sequence NE. The linear lacunarity function for the origination series is consistent with a self-similar multifractal temporal distribution. The extinction series shows two distinct linear regions, separated
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Plots of cross-section azimuth v. ( a ) <span class="search-highlight">lacunarity</span> and ( b ) inhomogeneity ...
Published: 17 July 2015
Fig. 10. Plots of cross-section azimuth v. ( a ) lacunarity and ( b ) inhomogeneity in spatial positioning of sandbody centroids for one of the stochastic model realizations shown in Figure 9 (sensitivity test 2 in Table 2 ). The lacunarity value for each cross-section is shown by a black
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(a) The box-counting fractal dimension plotted  versus  <span class="search-highlight">lacunarity</span> of exper...
Published: 23 October 2018
Fig. 6. (a) The box-counting fractal dimension plotted versus lacunarity of experimental and unoriented natural graphic textures form a trend with a negative slope. The experimental and natural data overlap except at the highest values of lacunarity and demonstrate the similarity in texture
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Results of <span class="search-highlight">lacunarity</span> analysis of the stratigraphic positions of grainstone...
Published: 01 July 2001
Figure 11 Results of lacunarity analysis of the stratigraphic positions of grainstone and packstone beds from the Kope composite reference section of Holland et al. (1997) . The lacunarity function for these tempestite positions falls above the curves for equally spaced or randomly distributed
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Curves show pointwise <span class="search-highlight">lacunarity</span> difference between natural data and their ...
Published: 04 July 2016
Figure 9. Curves show pointwise lacunarity difference between natural data and their respective random counterparts for high- (red) and low-resolution data. Upper and lower percentile values of lacunarity for bootstrap samples generated from real data are shown as dotted lines. Note
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Log–log plot of three-dimensional relative <span class="search-highlight">lacunarities</span> [R ln ( L )] vs. gl...
Published: 01 February 2009
F ig . 6. Log–log plot of three-dimensional relative lacunarities [R ln ( L )] vs. gliding cube size for (a) the macropore network, (b) tracer distribution at 6 min, and (c) tracer distribution at 78 min. Also shown in (a) are the relative lacunarity functions (RLFs) for the third-iteration
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Europeans maps of the pedotaxa representing different <span class="search-highlight">lacunarity</span> behavior. ...
Published: 01 August 2013
Fig. 6. Europeans maps of the pedotaxa representing different lacunarity behavior. (a) Concave: Distric Regosols (RGdy) is a regionally abundant pedotaxa (RA). (b) Linear: Distric Cambisols (CMdy) is a widespread and abundant pedotaxa (WA) with a well-defined self-similar structure. (c) Mixed
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The box-counting fractal dimension, D B , plotted  versus  <span class="search-highlight">lacunarity</span>, Λ, o...
Published: 23 October 2018
Fig. 4. The box-counting fractal dimension, D B , plotted versus lacunarity, Λ, of the original image PGT58-35 and downsized versions of ½, ¼, and ⅛ the size of the original image. The downsizing has almost no effect on the lacunarity and only a small effect on the box-counting fractal
Journal Article
Journal: AAPG Bulletin
Published: 15 July 2020
AAPG Bulletin (2020) 104 (7): 1501–1530.
.... The sample as shown in (A) includes relatively small, evenly distributed pores, whereas the sample as shown (B) includes relatively clumped, isolated pores. (C) Lacunarity distributions from samples as shown in (A) and (B). Note the sample as shown in (B) displays higher lacunarity at each box size, which...
FIGURES | View All (12)
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Plot of <span class="search-highlight">lacunarity</span> v. inhomogeneity in spatial positioning of sandbody cent...
Published: 24 March 2016
Fig. 8. Plot of lacunarity v. inhomogeneity in spatial positioning of sandbody centroids, as identified using Ripley's K function, in stratigraphic subdivisions of the cliff-face sections (A1, B1 and B2, C1–3, D1–3, E1–3 and F1–4; Fig. 7 ) (after Flood & Hampson 2015 ). Grey bars represent