Introduction

In recent years, thermal analysis techniques became highly important research tools for crude oil characterization and combustion. Differential scanning calorimeter (DSC), thermogravimetry (TG/DTG), differential thermal analysis (DTA) techniques have been used as screening tools for crude oil combustion. Vossoughi and El-shoubary [1] studied the effect of sand, silica and kaolinite on crude oil combustion. Three distinct regions namely distillation and two combustion/cracking regions were observed. Significant reduction of activation energy was caused by addition of kaolinite to crude oil. Burger and Sahuquet [2] studied the effect of some metallic derivatives on crude oil combustion by differential thermal analysis (DTA). Three reaction regions were observed in DTA curves namely low temperature partial oxidation, combustion of crude oil fraction and coke combustion. Fassihi et al. [3] studied crude oil combustion in sand pack containing clay. They observed a significant effect of clay on frontal behavior. Higher fuel deposition found in the presence of clay due to its absorption characteristics. Hardy and Raiford [4] studied crude oil combustion in the presence of 95–5% quartz-kaolinite mixtures by differential thermal analysis (DTA). They observed similar curves to the mixture of natural core crude oils. Rashidi and Bağcı [5] studied the effect of clay on the combustion of crude oils at different pressures. It was observed that more fuel was deposited as the clay content increased. Uniform trend of decrease in activation energy of the crude oils samples were observed as the clay content increased. Kok et al. [618] applied differential scanning calorimetry (DSC) and thermogravimetry (TG/DTG) on fossil fuel combustion and pyrolysis. Three distinct reaction regions were identified in all crude oil samples studied, known as low temperature oxidation, fuel deposition and high temperature oxidation. Effect of heating rate, metallic additives and clay content on the kinetics of the other fossil fuel samples were also studied by different kinetic models.

Experimental

In this research low °API gravity of crude oil (15 mass% crude oil) in limestone matrix was studied by thermogravimetry, with the addition of different clay concentrations (5, 10 and 20 mass%). Properties of crude oil, limestone and the chemical analysis of the clay samples are given in Tables 1, 2, respectively.

Table 1 Properties of crude oil and limestone samples
Table 2 Chemical analysis of clay samples

Thermal analysis experiments were performed TA 2000 thermal analysis system with thermogravimetry (TG/DTG) module. The experiments were carried out with a sample size of ~10 mg and airflow rate through the sample was kept constant at 50 ml/min. Experiments were conducted in the temperature range of 20–900 °C at 10 °C min−1 heating rate. Prior to experiments, it was essential to calibrate the balance for buoyancy effects for the quantitative estimation of mass changes. The material chosen for the investigation of such effects was silver. TG/DTG was also calibrated for temperature readings with calcium oxalate monohydrate. Duplicate experiments were performed to ensure reproducibility.

Results and discussion

Theoretically, combustion of crude oil can be initiated whenever oxygen comes in contact with fuel. Temperature, composition of the fuel and the oxygen supply dictate the nature of combustion of crude oil in different matrix. In combustion reactions of heavy crude oil sample, three distinct reaction regions were identified (Fig. 1). A reaction up to ~375 °C is known as low temperature oxidation (LTO). This region is characterized by the low levels of carbon oxides in the effluent gas stream and low peak temperatures. A second reaction region which is observed between ~375 and 490 °C, is called fuel deposition (FD). During this reaction the crude oil is coked and deposited on the solid matrix as fuel. The third reaction which takes place between ~490 and 590 °C contributes most of the exothermic heat of reaction known as high temperature oxidation (HTO).

Fig. 1
figure 1

TG/DTG curve of crude oil

It is known that, clay fractions of the reservoir matrix possess the highest surface area and catalytic properties toward various organic fluids. In crude oil with treated clay samples; three different reaction regions known as low temperature oxidation (LTO), fuel deposition (FD) and high temperature oxidation (HTO) are observed only in 5 mass% mixture. In 10 and 20 mass% mixtures, fuel deposition region is merged with high temperature oxidation region same as in crude oil with non-treated clay samples. On the other hand, in crude oil with test clay samples; fuel deposition region is observed in all mixtures (Figs. 2, 3 4). It is observed that the addition of clay to porous matrix significantly affects the fuel deposition and high temperature oxidation regions. Reaction intervals of the samples are given in Table 3. The peak and burn-out temperatures of samples did not change significantly with addition of different clay contents.

Fig. 2
figure 2

TG curves crude oil + treated clay samples

Fig. 3
figure 3

DTG curves crude oil + treated clay samples

Fig. 4
figure 4

TG curves crude oil + non-treated clay samples

Table 3 Reaction regions (K) of the samples

The mass loss values of the samples in different reaction regions were also studied. It was observed that the mass loss in low temperature oxidation region were in the range of 5.42–12.56% and in high temperature oxidation region 5.0–10.8% respectively. The reaction region which is observed in the temperature range of ~600–840 °C is related to the decomposition of limestone, and the average mass loss was around 30% in this region (Table 4).

Table 4 Mass loss (%) data of the samples

Kinetic analysis

Mass loss kinetics during crude oil combustion is a complex phenomenon since numerous reactions proceed simultaneously, therefore the kinetic data calculated should be regarded as apparent data representing complex and consecutive reactions.

In Arrhenius model [13], it is assumed that the rate of mass loss of the total sample is dependent only on the rate constant, the mass of the sample remaining and the temperature with reaction order of unity. Application of this model to the TG/DTG curves is easy and fast. So the equation of Arrhenius-type kinetic model takes the following form. The rate equation of thermal decomposition of dolomite is given by;

$$ {\text{d}}\alpha /{\text{d}}t = k\alpha^{n} $$
(1)

where α is the amount of sample undergoing the reaction, n is the order of reaction and k is the specific rate constant. The temperature dependence of k is expressed by the Arrhenius equation:

$$ k = A_{r} \exp ( - E/RT) $$
(2)

In this model, rate of mass change with respect to time is equal to:

$$ {\text{d}}W/{\text{d}}t = k \times W^{n} $$
(3)

Assuming first-order kinetics,

$$ \log [({\text{d}}W/{\text{d}}t)/W] = \log A_{r} - E/2.303RT $$
(4)

where T = temperature (K); A = pre-exponential factor (s−1); R = gas constant (8.314 J mol−1K−1); E = activation energy (kJ mol−1); dw/dt = the loss in mass from unit area in the period of time, n is the reaction order and assumed as unity. When log [(dW/dt)/W] is plotted against 1/T, a straight line is obtained which will have a slope equal to E/2.303R where activation energy can be obtained.

In general, some metallic additives and clay present in matrix exerts a catalytic influence on the reactions. Therefore, the presence of clay in matrix can influence the kinetic parameters. Activation energy values of the low temperature oxidation region varied between 5.9 and 14.1 kJ/mol for all the samples studied and seems to be affected by clay in the mixture. On the other hand, activation energies generated for the high temperature oxidation region for crude oil and crude oil/clay mixtures are in the range of 56.3–98.6 kJ/mol. As the clay content in the porous matrix increased from 5 to 20 mass%, activation energy values are decreased which is the indicative of catalytic properties of clay. It was observed that, non-treated clay type influenced the kinetic parameters more than the other clay types (Table 5; Figs. 5, 6, 7).

Table 5 Activation energy (kJ/mol) values of the samples
Fig. 5
figure 5

DTG curves crude oil + non-treated clay samples

Fig. 6
figure 6

TG curves crude oil + test clay samples

Fig. 7
figure 7

DTG curves crude oil + test clay samples

Conclusions

In this research, non-isothermal combustion and kinetic analysis of crude oil in limestone matrix was studied with different clay concentrations. The following conclusions were derived from the research conducted.

  • In TG/DTG experiments, a series of reactions were observed during the oxidation of crude oil in porous media by air injection known as, low temperature oxidation (LTO), fuel deposition (FD) and high temperature oxidation (HTO) reactions. It is observed that the addition of clay to porous matrix significantly affects the reaction regions.

  • Arrhenius kinetic methods were applied and the kinetic parameters are determined for LTO and HTO regions. It was observed that as the clay content in the porous matrix increased from 5 to 20 mass%, activation energy values are decreased which is the indicative of catalytic properties of clay.