Based on Table 1, the regression equation was determined with coefficients presented on
Table 2. The recursive variance and the compatible variances were determined by the equation
Eq. 8 and Eq.11: S2th = 1.7880; S2tt = 24.7506; Sbj = 0.6685.
The experimental regression equation of temperature and humidity to the hexadecane
mineralization rate was determined Y= 66.2275 + 6.4176x1 + 10.5925x2.
Where Y is the objective function that represents the hexadecane mineralization rate; x1 is
coding value of temperature; and x2 is coding value of humidity.
The study examined the appropriateness of the regression equation by the equations Eq.10
and Eq.11: Ftn = 13.9023.
Based on the Fisher standard table with P= 0.05, the study had Fb =18.51, so the regression
equation appropriated to the experiment.
Table 3 shows the correlation between experimental results and values of hexadecane
mineralization rate calculated from the regression equation.
The difference between the results of the hexadecane mineralization rate obtained from the
experiment and calculated from the regression equation is not too high, from 2 % to 20 %.
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Vietnam Journal of Science and Technology 58 (3A) (2020) 171-177
doi:10.15625/2525-2518/58/3A/14357
RELATIONSHIPS OF TEMPERATURE AND HUMIDITY
TO THE BIODEGRADATION OF PETROLEUM
HYDROCARBONS IN SOILS
Tran Thanh Chi
*
, Nguyen Hai Yen
School of Environnemental Science and Technology, Hanoi University of Science and
Technology, 1, Dai Co Viet, Hai Ba Trung, Ha Noi Viet Nam
*
Email: chi.tranthanh@hust.edu.vn
Received: 25 August 2019; Accepted for publication: 17 November 2019
Abstract. This work focused on monitoring CO2 production, microbial growth and residual
hydrocarbon concentration during bioremediation experiments performed on laboratory soil
microcosms. A natural soil was artificially contaminated with hexadecane and adjusted with
inorganic nutrients to stimulate biodegradation. Microbial growth, CO2 production and residual
hexadecane were periodically monitored at different soil water contents ranging from 0.15 to
0.25 g water g
-1
of dry soil and at different temperatures ranging from 20 to 25
o
C. The results
showed that the humidity had a greater effect on microbial activity and contaminant degradation
than the temperature. The study established the experimental regression equation of temperature
and humidity to the hexadecane mineralization rate, an important parameter in assessing the
ability to convert organic carbon into inorganic carbon. The difference between the results of the
hexadecane mineralization rate obtained from the experiment and calculated from the regression
equation is not too high, from 2 % to 20 %.
Keywords: microbial activity; soil; petroleum hydrocarbons; biodegradation; experimental
regression equation.
Classification numbers: 3.1.1, 3.3.1, 3.4.3.
1. INTRODUCTION
Bioremediation is currently being applied as a solution for the treatment of petroleum
hydrocarbons in contaminated sites [1]. Previous studies have mainly focused on the conditions
that affected the activity of microorganisms involved in hydrocarbons biodegradation process in
different soil types anddifferent geographical and climatic conditions. These conditions can be
listed as: pH, temperature [2]; microbial consortium [3]; oxygen content, nutrients (nitrogen,
phosphorus), humidity, salinity [4], nature and concentration of contaminants [5]. In aerobic
bioprocesses which aliphatic hydrocarbon removal is involved, environmental factors such as
water content and temperature may greatly influence microbial activities. Metabolic status of the
microorganisms depends on soil physico-chemical conditions. High soil water content is in
general considered to enhance nutrient diffusion and microbial movement, thus accelerating the
microbial activity and mineralization. However, in aerobic processes, higher water contents may
Tran Thanh Chi, Nguyen Hai Yen
172
create unfavourable conditions for oxygen transfer. Regarding the temperature, this is the factor
that affects the rate of metabolic reactions in the soil, and also affects the development of
microorganisms. Measurements of carbon dioxide (CO2) produced from hydrocarbons
biodegradation process are important in evaluating biomass and activity of soil microorganisms,
as well as decomposition of soil organic matters [6, 7].
In the study, hexadecane was chosen as a model compound for petroleum hydrocarbons.
CO2 production was measured based on acid/base titration method in order to assess the effect of
temperature and humidity on the biodegradation process, thereby establishing the experimental
regression equation of temperature and humidity to the hexadecane mineralization rate, an
important parameter in assessing the ability to convert organic carbon into inorganic carbon.
2. MATERIALS AND METHODS
2.1. Soil characterization
Soil samples were collected from a natural field (garden soil) of Hanoi suburb (March
2019), then the samples were sieved at 2 mm and stored in the dark at 4 °C before being used.
Initial soil parameters were determined: soil water content of 15 % calculated from weight loss
on drying at 105 °C for 24h (ASTM D2980-71); total organic carbon TOC = 20.5 g/kg soil
(TCVN 6642:2000); total nitrogen NTK = 1.69 g/kg soil (TCVN 6498 : 1999); and
orthophosphate P2O5–P = 0.10 g/kg soil (TCVN 8661 : 2011).
2.2. Experimental and microcosms set-up
The biodegradation tests were performed in laboratory microcosms, consisting of Schott
Duran bottles 500 mL, containing 50 g of soil. Hexadecane was added to each bottle and shaken
well to make soil contaminated by 5.8 mg/g-dry soil. The C:N:P ratio of 100:10:1 was adjusted
by adding external N and P sources in the form of (NH4)2SO4 and KH2PO4 [7]. The soil
microcosms, prepared as described above, were used for gas measurements (CO2 production)
during the 14-days bioremediation experiment. A tube filled with 10 mL of 0.5 M KOH
solution, placed into each bottle, was used as alkaline trap to fix CO2. KOH solution was
removed from the tubes and renewed daily in all microcosms. CO2 production was determined
by acid/base titration of this solution using hydrochloric acid 0.1 M HCl and some drops of
phenolphthalein solution as indicator. The study conducted 2 series of experiments under
different conditions of temperature (20
o
C; 25
o
C and 30
o
C) and humidity (15 %, 20 % and
25 %). Non-contaminated soil (biotic microcosms) and abiotic microcosms (containing 0.02%
w/w of sodium azide (NaN3)) were used as controls.
The study used the experimental planning method to establish the experimental regression
equation of temperature and humidity to the hexadecane mineralization rate, including 4 steps
[8].
Step 1: Determining the objective function, affecting factors, and coordinates of affecting
factors in the dimensionless coordinate system. The objective function is the hexadecane
mineralization rate
m
m
hexadecanC
COC
)(
)2( . The values of temperature and humidity were changed from 20
to 30
o
C and 15 to 25 %, respectively.
The based level and ranges of changes were determined by equation:
Relationships of temperature and humidity to the biodegradation of petroleum hydrocarbons in soils
173
Z j
0 =
2
minmax
ZZ jj
(j = 1, 2) (1)
Zj=
2
minmax
ZZ jj (j = 1, 2) (2)
where Zj
max
are upper level coordinates; Zj
min
are lower level coordinates; Zj
0
are base levels;
and Zj are ranges of changes.
The study converted the real variable Zj into the dimensionless variable xj according to the
equation:
xj=
Z
ZZ
j
jj
0
(j = 1, 2). ( 3)
In the dimensionless coordinated system, upper level coordinates are (+1), lower level
coordinates are (-1) and 0 is the origin of the coordinate system.
Step 2: Developing experiment plan. The experiment was performed with 2 affecting
factors, so the number of experiments were 2
2
=4, and 3 experiments at the base level.
Step 3: Determining the experimental regression equation and calculating the coefficients
The regression equation has the form:
= b0+ b1x1 + b2x2 +b12x1x2 (4)
where b0, b1, b2, b12 are regression coefficients calculated by the bellowed equations:
b0= yx u
N
u
uN
1
0
1
(5)
bj= yx u
N
u
juN
1
1
, (j = 1, 2) (6)
b12= yxx uu
N
u
uN 21
1
1
(7)
where N is the number of experiments.
The study examined the meaning of b coefficients based on the Student Standard
Sbj=
N
sth
where Sth is the recursive variance.
1
1
2
2
)~(
m
oioi
m
i
th
yy
S (8)
m is the number of experiments at the base level (m = 3); y
oi
are values determined based on the
experiments; y
oi
~ are values calculated based on the regression equation.
The Student Standard was calculated based on the equation:
tj =
S
b
bj
j (9)
where Sbj is the standard deviation of bj.
Tran Thanh Chi, Nguyen Hai Yen
174
If tj > tb, bj is meaning; and if tj < tb, bj is not meaning.
Step 4: Checking the appropriateness of regression equation based on the Fisher Standard
Ftn=
S
S
th
tt
2
2 (10)
where Stt
2
is compatible variance determined by the equation:
N
u
tt
tt yyf
S uu
1
22 )~(
1 (11)
Ftt is the degree of freedom corresponding to the compatible variance (Ftt= N-L); L is the number
of meaning coefficients.
If Ftn < Fb, the regression equation appropriates to the experiment.
If Ftn > Fb: the regression equation does not appropriate to the experiment.
3. RESULTS AND DISCUSSION
3.1. Effect of temperature and humidity on cumulative CO2 production
Figure 1. Cumulative CO2 production at different
temperatures.
Figure 2. Cumulative CO2 production at different
humidities.
Through the experiments, cumulative CO2 production or hexadecane mineralization
calculated as a percentage of hexadecane initial concentration was divided into 3 phases, shown
in Fig. 1 and Fig. 2. The first phase (from 0 to 3 days), cumulative CO2 production was low.
This phase may correspond to the lag phase when the indigenous microbial population adapts
and responds to the source of hexadecane. The second phase (from 3
th
to 9
th
day), cumulative
CO2 production was significantly higher corresponding to the “exponential” phase. During the
last phase (after the 9th day), the CO2 production rate was no longer as high as in the second
phase for all experiments.
The results showed that when the temperature increased, the CO2 production rate also
increased accordingly. However, in the range of temperature from 20
o
C to 30
o
C, the CO2
production rate or the biodegradation of hexadecane in the soil increased insignificantly. The
cumulative hexadecane mineralization rates during 14 days were 60 %, 63 % and 70 % at 20
o
C,
25
o
C and 30
o
C, respectively. The amount of CO2 formed during hexadecane biodegradation
were 8.27, 9.05, 9.64 mg/g dry soil at 20
o
C, 25
o
C and 30
o
C, respectively (Fig. 1)
Similar changes were observed in the series of experiments when assessing the effect of
Relationships of temperature and humidity to the biodegradation of petroleum hydrocarbons in soils
175
humidity. However, in the range of humidity from 15 % to 25 %, the CO2 production rate
increased significantly. The cumulative hexadecane mineralization rates during 14 days were
47 %, 62 % and 73 % at humidity of 15 %, 20 % and 25 %, respectively. The amount of CO2
formed during hexadecane biodegradation were 6.2, 8.9, 10.5 mg/g dry soil at humidity of 15 %,
20 % and 25 %, respectively (Fig. 2). This is also quite consistent with previous studies when
changing the humidity, the cumulative hexadecane mineralization during 14 days ranged from
40 to 70 % [9]. The curve obtained from the abiotic control showed that CO2 production by
physic-chemical processes such as evaporation and sorption is almost zero (less than 3 %),
which means that the mineralization of hexadecane is indeed due to biodegradation. Similarly,
the CO2 production of the biotic control (non-contaminated soil) was negligible, which indicates
that the mineralization of organic matter in the soil is insignificant. It is consistent with the initial
values of TOC, NTK and P2O5–P which are insignificant compared with the hexadecane content
added to the soil sample. The results showed that the humidity has a greater effect on carbon
dioxide (CO2) produced from hydrocarbons biodegradation process and it is an important
indicator in evaluating microbial activity and contaminant degradation [6, 7] than the
temperature.
3.2. Experimental regression equation of temperature and humidity to the hexadecane
mineralization rate
The values of real variables Zj, the dimensionless variable xj and objective function (or
hexadecane mineralization rate) were presented in Table 1.
Table 1. The coding matrix.
No
Real variable values
Coding values Values of objective
function (%)
Z1 (
o
C) Z2 (%) x1 x2 x12
1 20 15 -1 -1 +1 46.73
2 30 15 +1 -1 -1 64.54
3 20 25 -1 +1 -1 72.89
4 30 25 +1 +1 +1 80.75
5 25 20 0 0 0 62.63
6 25 20 0 0 0 60.54
7 25 20 0 0 0 63.03
Table 2. Regression coefficients.
Regression
coefficients
bj tbj T0.05;2 Meaning (Y/N)
bo 66.2275 99.0559 4.3 Y
b1 6.4176 9.5986 4.3 Y
b2 10.5925 15.8431 4.3 Y
b12 -2.4875 3.7205 4.3 N
Tran Thanh Chi, Nguyen Hai Yen
176
Based on Table 1, the regression equation was determined with coefficients presented on
Table 2. The recursive variance and the compatible variances were determined by the equation
Eq. 8 and Eq.11: S
2
th = 1.7880; S
2
tt = 24.7506; Sbj = 0.6685.
The experimental regression equation of temperature and humidity to the hexadecane
mineralization rate was determined Y= 66.2275 + 6.4176x1 + 10.5925x2.
Where Y is the objective function that represents the hexadecane mineralization rate; x1 is
coding value of temperature; and x2 is coding value of humidity.
The study examined the appropriateness of the regression equation by the equations Eq.10
and Eq.11: Ftn = 13.9023.
Based on the Fisher standard table with P= 0.05, the study had Fb =18.51, so the regression
equation appropriated to the experiment.
Table 3. Values of hexadecane mineralization rate from the experiments and calculating from the
regression equation.
Humidity (%)
Temperature
(
0
C)
Values of hexadecane
mineralization rate
Difference (%)
Experiments
Regression
equation
15 (X1 = -1) 25 (X2 = 0) 46.84 55.63 18.8
20 (X1 = 0) 30 (X2 = +1) 70.67 72.64 2.8
20 (X1 = 0) 20 (X2 = -1) 63.56 59.81 5.6
25 (X1 = +1) 25 (X2 = 0) 73.85 76.82 4.0
Table 3 shows the correlation between experimental results and values of hexadecane
mineralization rate calculated from the regression equation.
The difference between the results of the hexadecane mineralization rate obtained from the
experiment and calculated from the regression equation is not too high, from 2 % to 20 %.
4. CONCLUSIONS
The study established the experimental regression equation of temperature and humidity to
the hexadecane mineralization rate, an important parameter in assessing the ability to convert
organic carbon into inorganic carbon. The results showed that the humidity has a greater effect
on microbial activity and contaminant degradation than the temperature. The regression equation
was Y= 66.2275 + 6.4176x1 + 10.5925x2.
Setting up the experimental empirical regression equation enables quick assessment.
Additional research is needed to determine the influence of water content and temperature in
microbial activities and contaminant degradation within a range of soil textures and structures.
Further studies are also necessary to determine the applicability of these results in field
conditions with microbial degradation processes may be more complex, followed by the online
application of monitoring soil pollutants.
Relationships of temperature and humidity to the biodegradation of petroleum hydrocarbons in soils
177
Acknowledgements. This research is funded by the Hanoi University of Science and Technology (HUST)
under project number T2018-PC-079.
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