CONCLUSIONS AND RECOMMENDATIONS
Experimental results of infiltration spread were suitable for characteristic of fine
sand type with high void ratio at the South Central region of Vietnam. The soil layer of
0-5cm with much evaporation had fast infiltration velocity, the layer from 5cm
downward had stable one. Comparing with the same time step for experiment, the
infiltration depth (vertical - z) in the IF4 was larger than that one of the IF2 and IF3, on
the contrary, the horizontal permeability (r) at the IF4 was smaller than that one in the
IF2 and IF3. Monitoring results have been showed that when water permeated to the
soil layer containing the active roots (the IF2: z = 5-15 cm; IF3: z = 6-17.5 cm; IF4: z =
8-20 cm), velocity of horizontal and vertical permeability was large, it has been
explained that the roots had sucked water (reducing soil moisture) and transpiration
through the leaves to feed growing plants, concurrently the roots also created small links
for water to move easily from locations with low potential to high one, and causing the
infiltration velocity increased.
The charts for the correlation relationship between variables showed that the
established functions had rather high correlation coefficient, R2 were from 0.906 to
0.9899 suitably for research on soil moisture dynamic to determine the suitable
irrigation schedule for Grape leaves in particular and dried plants (with a shallow root
system) in general at the water scarce region of the South Central region of Vietnam.
Special recommendation for practical production with the similar nature features,
the farmers only irrigate (using the drip irrigation technique) in a period of 35-40
minutes, that will be enough for water to permeate all the active root layer with 20cm
depth, or in about 90 minutes to infiltrate to the depth of 30 cm, then stop watering to
avoid water waste by downward penetration and ensure water use efficiency.
To reduce the water loss permeability of soil, the farmers should increase clay
content, humus or colloid for the soil to keep moisture and crops grow well at the water
scarce region of the South Central region of Vietnam (with similar soil conditions).
Recommend further researches on infiltration spread in the condition of
heterogeneous cultivated layers by depth, uneven topography, changed watertable level
and impacts on crops in order to apply in practical production effectively.
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TUYEÅN TAÄP KEÁT QUAÛ KHOA HOÏC & COÂNG NGHEÄ 2016
VIEÄN KHOA HOÏC THUÛY LÔÏI MIEÀN NAM 217
RESEARCH ON INFILTRATION SPREAD IN SOIL OF DRIP
IRRIGATION TECHNIQUE FOR GRAPE LEAVES AT THE WATER
SCARCE REGION OF VIETNAM
Tran Thai Hung Tran, Vo Khac Tri, Le Sam
ABSTRACT
The technique of drip irrigation is a solution of water saving for crops in the
scarce region. Water is supplied on the soil surface directly, continuously and
regularly by drippers and then it infiltrates into the cultivated soil layer to ensure
that plants will grow and develop well. During the experimental process of
researching on soil moisture of drip irrigation technique to determine the suitable
irrigation schedule for Grape Leaves at the water scarce region, the authors
carried out the experiment and observed infiltration spread. Based on calculated
and observed results, the authors have proposed correlation of parameters as
follows: infiltration depth, average radius of wetting front on horizontal direction,
irrigation water amount versus time, velocity of horizontal (vr) and vertical (vz)
permeability of drip irrigation technique. The correlation coefficients of
parameters are high (R2 from 0.906 to 0.9899) and conformable to research on soil
moisture dynamic in order to determine the suitable irrigation schedule for Grape
leaves in particular and for terrestrial plants (with short roots) in general at the
water scarce region of the South Central region of Vietnam.
Keywords: Correlation; Drip Irrigation; Infiltration; Irrigation Schedule;
Permeable Velocity
1. INTRODUCTION
The experimental analysis results of water infiltration spread in soil (H. Darcy,
1885), (Green and Anpt, 1911), (Kostiakov, 1932), (Phillipe, 1957) have been
showed that the infiltration process was divided into two phases: unstable infiltration
(absorbent) and stable one. Water spread in soil depends on soil type, structures and
irrigation techniques. For different types of cultivated land, permeability and moisture
reserves in soil is different, so the watering time will be varried depending on each soil
type [1-3].
Irrigation methods and techniques largely influence the water infiltration process
into soil. When soil is irrigated according to traditional methods, water will evenly
saturate and spread from the ground to the bottom. Thus at the location situated between
trees, this water will be wasted, sometimes enable weeds to grow quickly and cause
negative effects on crops. Regarding the drip irrigation technique, water is provided very
reasonable amount from a point on the ground through irrigation equipment, then spreads
out around and bottom, with just enough water volume supplied to moisten the active
roots, soil will reach optimum moisture, without causing waste water and saturation
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excess. For each plant kind, the active roots have occupied the different volume. The
development of these active roots is very important, when soil is provided adequate water
and nutrients in a reasonable manner, the roots will absorb water, nutrients and air for
plants to grow and develop well, creating high yield and quality product [4].
Previous studies have often focused on the aspect of crops irrigation schedule for
each irrigation technique, not much attention to soil moisture dynamic in the space of
the active roots. Some scientists have studied soil water movement for the traditional
irrigation method (flooding irrigation, ditch irrigation, strip irrigation etc.), but there are
few simulations of drip irrigation technique especially in moisture dynamic (water is
supplied from a point spread around). Thus, it has caused the shortage or excess water
irrigation when the optimal moisture area is larger or less than the active root space.
That does not meet demands in agricultural production and reduce efficiency of water
saving irrigation, especially for water scarce regions.
Binh Thuan and Ninh Thuan are two provinces in the South Central region of
Vietnam with the harsh climate and natural conditions, where has the lowest
precipitation in the country and the unequal distribution by time (annual average is
about 500-800mm). Features of water resources is scarceness, causing drought and
severe water shortage for socioeconomic development, especially agriculture production.
There are more than half a million ethnic minorities whose livelihoods depend on
agricultural activities in this area. Due to difficult production conditions so most of the
population is under the poverty and needs be improved living standards [5].
This performed research is very necessary with the aim to establish correlations
between the parameters as follows: infiltration depth, average radius of wetting front on
horizontal direction, irrigation water amount versus time, velocity of horizontal (vr) and
vertical (vz) permeability of drip irrigation technique for researching on soil moisture
dynamic in order to determine the suitable irrigation schedule for Grape leaves in
particular and for terrestrial plants (with shallow roots) in general, and then it is applied
into cultivating reality to avoid water wastage and get irrigation efficiency at the water
scarce region of the South Central region of Vietnam.
2. MATERIAL AND METHODS
Objective
Researched objective was infiltration spread in soil of drip irrigation technique
with irrigation frequencies as 2 days, 3 days and 4 days.
The experimental model was performed at the Grape leaves farm in Thuan Quy
village, Ham Thuan Nam district, Binh Thuan province.
The mechanical and physical characteristics of soil have been tested in the
laboratory of the Southern Institute of Water Resources Research.
Approachability and methodology
(1) Approach reality and theory comprehensively, combine with selective
inheritance from the scientific research results of infiltration in soil and water-saving
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VIEÄN KHOA HOÏC THUÛY LÔÏI MIEÀN NAM 219
irrigation technology for production [4];
(2) Approach structural components of the water utilization models as follows:
source, transport, utilizing exploitation and application of advanced science and
technology about: irrigation equipment, materials, structures, crops and modern
computational software in order to analyse, select and design a experimental model at
the field [2, 6];
(3) Take soil samples at various depths at the field. Analyse mechanical and
physical characteristics of soil in the laboratory;
Figure 1. The sketch of research approachability and methodology
LEGENDS: Z: Infiltration depth (cm); R: Average radius of wetting front on horizontal
direction (cm); W: Irrigation water amount (ml);
T: Time (minute); Vr: Velocity of horizontal permeability (cm/minute); Vz: Velocity of vertical
permeability (cm/minute).
(4) Establish the experimental model, observe irrigation and infiltration spread
development in soil following space (horizontal and vertical permeability) and time
with irrigation frequencies as: 2 days, 3 days and 4 days. Periodically monitor
infiltration spread with time step of 5 minutes/per time as: 1, 3, 5, 10, 15, 20, 25, 30,...
to 200 (minutes) stop watering; then continue monitoring water spread in soil with time
step as: 210, 240, 270, 300, 330 and 360 (minutes) stop observing [5, 7, 8];
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(5) Establish recurrent correlations between variables: infiltration depth (z),
average radius of wetting front on horizontal direction (r), irrigation water amount (w)
and time (t), velocity of horizontal (vr) and vertical (vz) permeability according to under
research objectives proposed.
(6) Collect observed data and analyze the experimental results by using Excel
and SPSS16 program;
3. RESULTS AND DISCUSSION
The soil at the experimental model was fine sandy with high void ratio, so water
particles have moved by their own gravity component larger than soil capillary force
over themselves (refer with: Table 1).
When water permeates the soil, wet soil block looked like hemispherical. In
initial time, water spread very fast in a circular motion on the ground, velocity of
horizontal permeability (vr) was almost as fast as vertical one (vz) (permeate downward).
During the next phase, velocity of horizontal permeability was smaller than vertical one.
In the last phase, mostly water permeated downward and little horizontal. The
infiltration spread development of each irrigation frequency in soil was as follows (refer
with: Fig. 2 and Table 2):
Two-day irrigation frequency (IF2): With short irrigation one, soil moisture
content was still high so water trended towards the more horizontal permeability beside
the vertical one (downward). In the first 20 minutes, the infiltration velocity of two
directions as vertical and horizontal were rather evenly, z20 = 10.55 - 10.7 cm, r20 = 10.05-
10.25 cm, vz20 = 0.5 cm/min, vr20 = 0.46 cm/min; then the horizontal permeability trended
to slow down although the vertical one was still continuing with less reduction. After 145
minutes, the horizontal velocity decreased small, vr145 was about 0.02 cm/min and lower
than vertical one vz145 = 0.1 cm/min. At the stop watering time (after 200 minutes) z200 =
41- 41.45 cm, r200 = 22.35 – 23 cm, vz200 = 0.08 cm/min, vr200 = 0.01 cm/min, then water
continued permeating to the depth of z360 = 43.8 - 45.4 cm and r360 = 22.9 - 23.8 cm;
Three-day irrigation frequency (IF3): Water regularly permeated around and
downward due to reduced soil moisture more than that one of the IF2. In the first minute,
the vertical infiltration velocity (vz1 = 1.48 cm/min) was faster than the horizontal one (vr1
= 1.35 cm/min); in the next 14 minutes, the infiltration velocity was faster than that one of
the IF2 and rather evenly under two directions (vertical and horizontal); in the next 30
minutes, the infiltration velocity decreased compared with that one of the IF2, z45 = 20.1-
20.75 cm, r45 = 15.5 - 15.75 cm, vz45 = 0.23 cm/min, vr45 = 0.1 cm/min; The next time, the
horizontal velocity trended to slow down during vertical infiltration was still continuing
with less reduction. After 125 minutes, the horizontal velocity decreased small, vr125 was
about 0.02 cm/min and lower than vertical one vz125 = 0.15 cm/min. At the stop watering
time (after 200 minutes), z200 = 42.8 - 43.35 cm, r200 = 20.8 - 21.2 cm, vz200 = 0.08 cm/min,
vr200 = 0.01 cm/min, then water continued permeating to the depth of z360 = 44.8-46.9 cm
and r360 = 21.3 -21.7 cm. Comparing with the same time step for experiment, the
infiltration depth (vertical - z) in the IF3 was larger than that one of the IF2, on the
contrary, the horizontal permeability (r) at the IF3 was smaller than that one in the IF2;
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Table 1. Soil characteristic of the layers from 0 to 60CM
Soil
layer
(cm)
Grain size analysis Physical characteristic Descriptio
n
Medium Sand
(%)
Fine Sand
(%)
Coarse
Silt
(%)
Fine
Silt (%)
Clay (%) Wet Density
γw (g/cm3)
Dry
Density
γd
(g/cm3)
Specific
Gravity
D
Saturation
S
(%)
Porosity
n
(%)
Void
Ratio
eo
(2.0 -
0.85)
(0.85 -
0.425)
(0.425-
0.25)
(0.25-
0.106)
(0.106-
0.075)
(0.075 -
0.01)
(0.01 -
0.005) (< 0.005)
0-20 0 4.30 47.60 41.50 1.70 0.40 0.50 4.00 1.60 1.56 2.65 8.86 40.99 0.69
Greyish
brown fine
sand
20-40 0 3.50 47.40 36.10 6.40 0.50 0.50 5.60 1.56 1.51 2.63 13.30 42.70 0.75
Greyish
yellow fine
sand
40-60 0 3.80 48.20 35.20 6.10 0.46 0.50 5.74 1.68 1.62 2.64 15.70 38.66 0.63
Greyish
yellow fine
sand
Grain size analysis with five types:
(1) Medium Sand with two grades: 2.0 - 0.85mm, 0.85 - 0.425mm; (2) Fine Sand with three grades: 0.425 - 0.25mm, 0.25 - 0.106mm, 0.106 - 0.075mm; (3)
Coarse Silt with one grade: 0.075 - 0.01mm; (4) Fine Silt with one grade: 0.01 - 0.005mm; (5) Clay with one grade: < 0.005mm.
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Table 2. Observed results of the infiltration process of soil in six experimental times
Time
(minute)
Two-day irrigation frequency Three-day irrigation frequency Four-day irrigation frequency
W2 (a)
(ml)
Z2 (b)
(cm)
R2 (c)
(cm)
vz2 (d)
(cm/min)
vr2 (e)
(cm/min)
W3 (a)
(ml)
Z3 (b)
(cm)
R3 (c)
(cm)
vz3 (d)
(cm/min)
vr3 (e)
(cm/min)
W4 (a)
(ml)
Z4 (b)
(cm)
R4 (c)
(cm)
vz4 (d)
(cm/min)
vr4 (e)
(cm/min)
1 17.5 1.4 1.3 1.39 1.32 17.6 1.5 1.4 1.48 1.35 17.7 1.6 1.5 1.63 1.52
3 52.5 3.5 3.3 1.03 1.00 52.7 3.7 3.5 1.08 1.07 53.0 4.0 3.8 1.17 1.14
5 87.5 5.0 4.8 0.78 0.75 87.8 5.3 5.0 0.83 0.75 88.3 5.7 5.3 0.85 0.75
10 175.0 8.2 8.0 0.64 0.63 175.5 8.7 8.1 0.68 0.61 176.5 9.3 8.3 0.72 0.59
15 262.5 10.9 10.5 0.54 0.52 263.3 11.3 10.3 0.51 0.46 264.8 12.1 10.5 0.56 0.45
20 350.0 13.2 12.4 0.46 0.37 351.0 13.4 11.9 0.42 0.32 353.0 14.4 12.0 0.46 0.29
40 700.0 19.8 15.8 0.27 0.12 702.0 19.4 15.2 0.24 0.11 706.0 21.3 15.1 0.29 0.11
60 1050.0 24.1 17.7 0.19 0.09 1053.0 23.8 16.9 0.22 0.08 1059.0 25.8 16.7 0.20 0.07
80 1400.0 27.7 19.1 0.18 0.07 1404.0 27.9 18.3 0.20 0.06 1412.0 29.5 17.7 0.17 0.04
100 1750.0 31.0 20.3 0.15 0.05 1755.0 31.5 19.1 0.17 0.04 1765.0 32.7 18.4 0.16 0.03
120 2100.0 33.6 21.1 0.12 0.03 2106.0 34.7 19.7 0.15 0.03 2118.0 35.6 18.8 0.14 0.02
140 2450.0 35.8 21.7 0.11 0.03 2457.0 37.4 20.1 0.13 0.02 2471.0 38.4 19.2 0.14 0.02
160 2800.0 37.8 22.1 0.10 0.02 2808.0 39.7 20.5 0.10 0.02 2824.0 40.7 19.5 0.10 0.02
180 3150.0 39.7 22.5 0.08 0.02 3159.0 41.7 20.8 0.10 0.01 3177.0 42.7 19.7 0.10 0.01
200 3500.0 41.3 22.9 0.08 0.01 3510.0 43.4 21.0 0.08 0.01 3530.0 44.6 19.9 0.09 0.00
300 0.0 44.3 23.2 0.01 0.00 0.0 45.8 21.3 0.01 0.00 0.0 47.3 19.9 0.01 0.00
360 0.0 44.5 23.4 0.00 0.00 0.0 46.0 21.5 0.00 0.00 0.0 47.5 20.0 0.00 0.00
(a) means fixed water amount was supplied for crop according to irrigation frequencies in six experimental times.
(b), (c), (d), (e) mean average observed variables in six experimental times.
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Figure 2. The sketch of the infiltration process and soil moisture dynamic
LEGENDS: (*) Minimum - Maximum infiltration depth (Z) at observed time (cm);
(**) Minimum - Maximum average diameter (2R) of wetting front on horizontal
direction at observed time (cm);
Four-day irrigation frequency (IF4): With repeated watering time was quite long
so the soil of this frequency was dryer than that one in other frequencies (IF2 and IF3)
due to evapotranspiration by the ground and through the leaves, soil moisture reduced
much more than that one in the IF2 and IF3 so the infiltration velocity at this IF4 was
the largest, water trended to the more vertical permeability (downward) beside the
horizontal one. In the first minute, the vertical infiltration velocity (vz1 = 1.63 cm/min)
Have been irrigating
for 20 minutes
23.6 - 25cm (**)
Have been irrigating
for 5 minutes
5.0 - 5.7cm (*)
2.6 – 3.1cm 9.5 - 10.7cm (**)
Have been irrigating
for 1 minute
The ground
Have been irrigating
for 10 minutes
13.05 - 14.5cm (*)
15.8- 16.7cm (**)
Have been
irrigating
30.9 – 33.0cm
32.8 – 35.8cm 35.6 – 41.2cm
The ground
Have been
irrigating
43.8 - 48.0cm
38.4 – 46.4cm (**)
1.38 - 1.65cm
8.2 - 9.3cm (*)
23.3 – 26.1cm (*)
41.1 – 44.9cm (*)
The equal
moisture line
After stop irrigating
160 minutes
38.9 – 47.6cm
Have been irrigating
for 100 minutes
Have been
irrigating
37.7 - 41.0cm (*)
36.6 – 42.8cm (**)
33.6 – 35.9cm (*)
Have been
irrigating
37.6 – 44.8cm
The ground
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was faster than the horizontal one (vr1 = 1.52 cm/min); in the next 50 minutes, the
infiltration velocity of two directions (vertical and horizontal) were rather evenly and
faster than that one in other frequencies (IF2 and IF3); in the next time until water
supply cessation, the vertical velocity decreased nearly equivalent with it in the IF3 but
larger than that one in the IF2, conversely, the horizontal velocity trended to slow down
equivalent with it in the IF3 but smaller than that one in the IF2; starting from the
minute of 195th until watering cessation, water only trended to vertical permeability and
less horizontal one. At the stop watering time (after 200 minutes), z200 = 44.3 - 44.9 cm,
r200 = 19.15 - 20.25 cm, vz200 = 0.09 cm/min; vr200 = 0, water continued permeating to
the depth of z360 = 46.8 – 48 cm and did not permeate horizontal any more. Comparing
with the same time step for experiment, the infiltration depth (vertical - z) in the IF4
was larger than that one of the IF2 and IF3, on the contrary, the horizontal permeability
(r) at the IF4 was smaller than that one in the IF2 and IF3.
Figure 3. The infiltration process monitoring at the experimental model, Binh Thuan
province
Based on the results of analyzing and monitoring of the infiltration process in
soil, the correlations between variables have been established: infiltration depth (z),
average radius of wetting front on horizontal direction (r), irrigation water amount (w)
and time (t), velocity of horizontal (vr) and vertical (vz) permeability. The established
functions have high correlation coefficient (R2 > 0.90) (refer with: Table 3 and Fig. 4,
Fig. 5 and Fig. 6).
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Figure 4. Correlation relationships between variables of two-day irrigation frequency
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Figure 5. Correlation relationships between variables of three-day irrigation
frequency
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Figure 6. Correlation relationships between variables of four-day irrigation frequency
Table 3. Relationships of recurrent correlations between variables
Correlation Two-day irrigation frequency
Three-day irrigation
frequency
Four-day irrigation
frequency
r - z r = 7.6036ln(z) - 5.9535 R² = 0.9666
r = 6.8464ln(z) - 4.8236
R² = 0.9778
r = 6.3817ln(z) - 4,2771
R² = 0.9802
z - w z = 8.994ln(w) - 35.645 R² = 0.9258
z = 9.4504ln(w) -
38.091
R² = 0.906
z = 9.5763ln(w) -
37.842
R² = 0.9223
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z - t
z = 9.3112ln(t) -
10.912
R² = 0.9344
z = 9.7827ln(t) - 12.068
R² = 0.9182
z = 9.9148ln(t) - 11.425
R² = 0.9313
r - w
r = 4.5756ln(w) -
14.194
R² = 0.9899
r = 4.1287ln(w) -
12.086
R² = 0.9897
r = 3.7723ln(w) -
10.166
R² = 0.9857
r - t r = 4.3998ln(t) - 0.5178 R² = 0.9818
r = 3.9283ln(t) + 0.4011
R² = 0.9766
r = 3.5406ln(t) + 1.423
R² = 0.9643
4. CONCLUSIONS AND RECOMMENDATIONS
Experimental results of infiltration spread were suitable for characteristic of fine
sand type with high void ratio at the South Central region of Vietnam. The soil layer of
0-5cm with much evaporation had fast infiltration velocity, the layer from 5cm
downward had stable one. Comparing with the same time step for experiment, the
infiltration depth (vertical - z) in the IF4 was larger than that one of the IF2 and IF3, on
the contrary, the horizontal permeability (r) at the IF4 was smaller than that one in the
IF2 and IF3. Monitoring results have been showed that when water permeated to the
soil layer containing the active roots (the IF2: z = 5-15 cm; IF3: z = 6-17.5 cm; IF4: z =
8-20 cm), velocity of horizontal and vertical permeability was large, it has been
explained that the roots had sucked water (reducing soil moisture) and transpiration
through the leaves to feed growing plants, concurrently the roots also created small links
for water to move easily from locations with low potential to high one, and causing the
infiltration velocity increased.
The charts for the correlation relationship between variables showed that the
established functions had rather high correlation coefficient, R2 were from 0.906 to
0.9899 suitably for research on soil moisture dynamic to determine the suitable
irrigation schedule for Grape leaves in particular and dried plants (with a shallow root
system) in general at the water scarce region of the South Central region of Vietnam.
Special recommendation for practical production with the similar nature features,
the farmers only irrigate (using the drip irrigation technique) in a period of 35-40
minutes, that will be enough for water to permeate all the active root layer with 20cm
depth, or in about 90 minutes to infiltrate to the depth of 30 cm, then stop watering to
avoid water waste by downward penetration and ensure water use efficiency.
To reduce the water loss permeability of soil, the farmers should increase clay
content, humus or colloid for the soil to keep moisture and crops grow well at the water
scarce region of the South Central region of Vietnam (with similar soil conditions).
Recommend further researches on infiltration spread in the condition of
heterogeneous cultivated layers by depth, uneven topography, changed watertable level
and impacts on crops in order to apply in practical production effectively.
ACKNOWLEDGEMENTS
This study was carried out in the framework of a PhD study on soil moisture
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dynamic of drip irrigation technique in order to determine the suitable irrigation
schedule for Grape Leaves at the water scarce region and the National project of
research on scientific and technological solution proposal of irrigation infrastructure and
running water for economic development and modern rural building of the South
Central region of Vietnam. I would like to thank my organization, the Southen Institute
of Water Resources Research and the farm owner at Binh Thuan province, Vietnam for
their helps and support us in completing this experiment.
REFERENCES
1. Tau T.K. and Dan N.T. “Soil moisture for plants”. Agriculture Publishing House. Vietnam,
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Người phản biện: GS. TSKH. Nguyễn Ân Niên
TUYEÅN TAÄP KEÁT QUAÛ KHOA HOÏC & COÂNG NGHEÄ 2016
230 VIEÄN KHOA HOÏC THUÛY LÔÏI MIEÀN NAM
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