Introduction

Research idea

Diagenetic facies, one of major factors that shape reservoir quality and pore-throat structure, is a reservoir genetic unit featuring petrophysical and seepage properties (Zou et al. 2008). Its core content involves reservoir evolution mechanisms which dominate how and where petroleum enriches, particularly when basic accumulation conditions are confirmed. Thus, diagenetic facies-oriented research is helpful to make an accurate evaluation and prediction on tight sandstone reservoir (Fu et al. 2013; Frebch et al. 2012; Taylor et al. 2010; Lai et al. 2015; Maas et al. 2011; Morad et al. 2010). As one of major development formations in the center-west area of Ordos Basin, Chang 6 sees a growing proved reserve for years with a favorable expectation. Due to heavy tightness from strong diagenesis, Chang 6 formation has many complex and unsolved problem involving pore structure and evolution. Thus firstly, this paper reveals diagenesis and pore feature and then classifies diagenetic facies. Secondly, the relationship between diagenetic facies and reservoir quality is built up. Lastly, applying logging data into discerning diagenetic facies is executed at all wells. This work is full of meaning for it not only makes diagenetic facies classification at every well feasible but provides the prediction of petroleum enrichment with novel data.

Geological background

The Ordos Basin is very rich in tight oil and gas resources and has broad prospects for exploration and development (Yang et al. 2013; Guo et al. 2017). It is the second largest sedimentary basin in China. It is structurally located on the western edge of the North China Craton (Yang et al. 2005; Li et al. 2010). The internal structure of the basin is relatively simple, and the strata is relatively gentle. The overall performance is characterized by a wide east wing and a steep and narrow west wing. It is a large monoclinic with a gentle west dip (Fig. 1). The structure of the midwestern region is located inside the Yishan slope, adjacent to the Tianhuan oil-generating sag (Fig. 1). The Yanchang Formation develops a set of inland depression-type open lake delta deposits (Fu et al. 2005; Wang et al. 2006; Li et al. 2006; Deng et al. 2008). According to lithology and sedimentary cycle, it can be divided into 10 oil layer groups from top to bottom (Fig. 1): Since the Chang 10th period, the lake basin shape of the early Yanchang Formation has gradually formed. In the Chang 9–Chang 8 period, the sinking rate of the lake basin accelerated due to the violent faulting activities in the edge of the basin, and the lake shoreline continued to advance and expand from the inside to the outside. By the Chang 7 sedimentary period, the evolution of the lake basin reached its heyday, with the largest lake area and the deepest water depth reaching 60 m. The lake basin gradually shrank during the 6th to 2nd stage. Then, the lake basin depression of Chang 1 oil layer group disappeared (Li et al. 2012; Liao et al. 2012).

Fig. 1
figure 1

Geographical location of the midwestern regions, Ordos Basin

The Chang 6 reservoir in the midwestern part of the Ordos Basin is mainly composed of dark gray fine-grained feldspar sandstone and lithic feldspar sandstone, showing the characteristics of low quartz and high feldspar, and a moderate degree of structural maturity (Fig. 2). The main distribution range of the peak porosity is between 7.5 and 15%, with an average of 10.67%; the main distribution range of the peak permeability is within < 0.3Χ10−3μm2, with an average of 0.53Χ10−3μm2 (Fig. 3). The average content of interstitial materials is about 13.4%, mainly authigenic clay minerals such as chlorite (3.8%), kaolinite (2.5%), illite (1.7%) and iron calcite (2.8%), followed by silica (1.2%) (Table 1, Fig. 4); the pore types are mainly intergranular pores (3.25%) and feldspar dissolved pores (0.78%) (Fig. 4).

Fig. 2
figure 2

Sandstone triangle diagram (left) and histogram of clastic composition distribution (right)

Fig. 3
figure 3

Histogram of reservoir physical property distribution

Table 1 Reservoir interstitial content statistics table
Fig. 4
figure 4

Microscope figures of typical diagenetic phenomena of samples

The Chang 6 reservoir in the midwestern part of the Ordos Basin is mainly composed of dark gray fine-grained feldspar sandstone and lithic feldspar sandstone, showing the characteristics of low quartz and high feldspar, and a moderate degree of structural maturity (Fig. 2). The main distribution range of the peak porosity is between 7.5% and 15%, with an average of 10.67%; the main distribution range of the peak permeability is within < 0.3 × 10−3μm2, with an average of 0.53 × 10−3μm2 (Fig. 3). The average content of interstitial materials is about 13.4%, mainly authigenic clay minerals such as chlorite (3.8%), kaolinite (2.5%), illite (1.7%) and iron calcite (2.8%), followed by silica (1.2%) (Table 1, Fig. 4); the pore types are mainly intergranular pores (3.25%) and feldspar dissolved pores (0.78%) (Fig. 4).

Diagenetic facies types and geological characteristics

Classification of diagenetic facies

Scholars all over the world have not yet reached a consensus on the naming and classification of diagenetic facies to form a unified classification standard. The main reference factors can be attributed to various aspects such as diagenetic minerals, diagenesis, rock structure composition, porosity and permeability, reservoir characteristics, diagenetic environment, geophysical characteristics and practical perspectives of exploration. Chinese scholars often name and classify diagenetic facies based on the differences in diagenetic evolution characteristics such as diagenesis and degree, mineral type and content (Zou et al. 2005, 2007; Zhang et al. 2011; Shi et al. 2011). The division of diagenetic facies is based on previous principles and combined with diagenetic phenomena in the main study area. Based on the observation of 258 sections in 36 wells in this area and the analysis and statistics of identification data, differences in mineral characteristics, pore types and distribution characteristics are analyzed. Finally, the study area was divided into four diagenetic facies types: residual chlorite-membrane intergranular-pore diagenetic facies, feldspar dissolution diagenetic facies, clay mineral cemented microporous diagenetic facies, carbonate cemented tight diagenetic facies (Table 2).

Table 2 Statistical table of diagenetic features

Differences in reservoir characteristics of different diagenetic facies

(1) Residual chlorite-membrane intergranular-pore diagenetic facies.

The main diagenesis feature is the development of chlorite membranes on the edges of detrital quartz particles (Fig. 5a), and the intergranular pores are relatively well preserved. Early chlorite adheres to the surface of clastic particles in the form of thin film. The appearance of chlorite film inhibits the increase in quartz in the later period and retains some primary pores. The protection of reservoir is stronger than that of filling pores. They are the main pore type, locally connected with dissolved pores to form dissolution-enlarged intergranular pores. The attachment of the chlorite film to the particles shows that it not only plays a certain anti-compaction effect, but also protects the particles, including wrapping the particles to avoid reaction with pore fluid and inhibiting the secondary growth of silica. The average rock density in this diagenetic facies zone is 2.46 g/cm3, the average interstitial volume content is 14.7%, the pore combination is dominated by dissolved pores-intergranular pores, and the high pressure mercury injection has low threshold pressure and tends to be coarser. It shows that the pore throat sorting performance is better, the median radius is larger, the main peak value of pore throat mercury ingress and permeability contribution value are both at > 1 μm, and the connectivity is good. The physical properties of the reservoir are relatively good, with an average porosity of 12.51% and an average permeability of 0.73 × 10−3μm2, respectively, which are the most favorable diagenetic facies belt in the study area (Table 2, Fig. 6a).

Fig. 5
figure 5

Microscopic features of different diagenetic facies zones

Fig. 6
figure 6

Different types of pressure curves and pore throat distribution characteristics

(2) Feldspar dissolution diagenetic facies.

The main diagenetic feature is that the content of intergranular pores has decreased, and the pore types are mostly dissolved pores formed by partial or full dissolution of feldspar particles or soluble lithic debris (Fig. 5b). Compared with compaction and cementation, secondary pores generated by dissolution are relatively limited, but they are still of great significance to the improvement of reservoir physical properties. The average density of rocks in the diagenetic facies belt is 2.51 g/cm3, and the volume content of interstitials is 12.58%. The pore combination is dominated by intergranular pores-dissolved pores, and the high-pressure mercury intrusion threshold pressure is lower, which tends to be coarser. It shows that the pore throat sorting performance is better, the median radius is larger, the main peak value of the pore throat mercury inflow and the permeability contribution value are between 0.5 and 1 μm, and the connectivity is good. The physical properties of the reservoir are slightly worse than the remaining intergranular pores of the chlorite membrane. The average porosity is 10.03%, and the average permeability is 0.58Χ10−3μm2, respectively. It is a more favorable diagenetic facies belt in the study area (Table 2, Fig. 6a).

(3) Clay mineral cemented microporous diagenetic facies.

The main diagenetic feature is that the primary intergranular pores are filled by authigenic clay minerals such as chlorite, illite and kaolinite, and the intercrystalline pores of the clay minerals are developed (Fig. 5c). The damage degree of bridged illite or filled illite to throat is stronger than that of pores, which also improves the compaction resistance of reservoir to a certain extent. Kaolinite has a certain destructive effect on porosity, but the generation of kaolinite not only has certain intergranular pores, but also is often accompanied by the dissolution of feldspar to produce dissolution pores, which can improve the reservoir to a certain extent and will not cause a wide range of physical properties reduction. The average rock density in this diagenetic facies belt is 2.55 g/cm3, and the average interstitial volume content is 15.25%. The pore combination is dominated by dissolved pores and micropores. The high-pressure mercury intrusion threshold pressure is generally higher, and the skewness tends to be fine, reflecting the greater degree of pore throat heterogeneity. The median radius is generally small, the pore throats are severely damaged by the cementation in the later stage, and the pore throat configuration relationship is poor, the number of mesopore throats is reduced, and the cumulative mercury intake from the pore throats is reduced. The main peak value of the pore throat radius of the pore throat mercury entry and permeability contribution value is between 0.1 and 0.5 μm, and the connectivity between the pore throats is poor. The physical properties of the reservoir are relatively poor, with an average porosity of 7.99% and an average permeability of 0.35 × 10−3μm2, respectively. The quality of the reservoir is poor, and it is a poor diagenetic facies belt in the study area (Table 2, Fig. 6a).

(4) Carbonate cemented tight diagenetic facies.

The main diagenetic feature is the pore-filling cementation and metasomatism of the iron-calcite-based continuous crystal carbonate, which leads to the loss of primary intergranular pores and the lack of dissolution (Fig. 5d). Carbonate cements reduce the intergranular pore space and cause greater damage to the reservoir, which is one of the most important reasons for the decrease in reservoir porosity in the study area. The average rock density in this diagenetic facies belt is 2.57 g/cm3, and the average interstitial volume content is 14.95%. The pore combination is dominated by micropores, the high-pressure mercury intrusion threshold pressure is high, and the distortion is fine. It shows that the pore throats are poorly sorted, the median radius is small, and the pore throats have almost disappeared. The unimodal shape is the main shape of the pore throat radius distribution and permeability contribution curve. The contribution rate of permeability and the amount of mercury in the pore throat are the least, the main peak is mainly distributed at < 0.1 μm, and the connectivity is poor. The physical properties of the reservoir are the worst, with an average porosity of 5.37% and an average permeability of 0.18 × 10−3μm2, which are relatively poor diagenetic facies belts in the study area, and are almost ineffective reservoirs (Table 2, Fig. 6a).

In the initial stage of the mercury intrusion experiment, for samples with different permeability, the relatively large pore throat occupies a small proportion, but the cumulative permeability contribution value rises rapidly to about 98% within the radius of the large pore throat. The cumulative mercury saturation in this interval is also increasing rapidly, and the curve is relatively steep, but the degree of steepness is not as steep as the cumulative permeability contribution rate. The cumulative mercury saturation reached in this interval is mainly distributed between 49 and 66% (Fig. 6). Subsequently, mercury continued to enter the sample, and the cumulative permeability contribution curve showed a flat trend with a slow increase rate, while the cumulative mercury saturation increase rate did not decrease significantly. It shows that the relatively large pore throat mainly controls the permeability, and the relatively small pore throat has little influence on the permeability, but has a certain storage capacity. Through analysis of mercury intrusion samples in the study area, it was found that the average mercury saturation of about 29.5% was controlled by relatively small pore throats. The permeability of the study area is mostly controlled by pore throats with a radius larger than R50 ~ R60.

Pore evolution characteristics of different diagenetic facies types

Through the porosity evolution simulation equations of formulas 17 in Table 3, the diagenetic evolution characteristics of the four different diagenetic facies types in the study area are analyzed. The initial porosities of the four diagenetic facies in the study area were 37.01, 37.05, 36.69, and 36.88% (Fig. 7). According to the calculation results of the initial porosity of different diagenetic facies, it is found that although the four diagenetic facies belts have different grain structures and sorting characteristics, the initial porosities are relatively similar. It shows that the characteristics of clastic particles during the deposition process are not the main factor that causes the current decline in reservoir quality.

Table 3 Quantitative calculation method of sandstone porosity evolution
Fig. 7
figure 7

Pore evolution process of different diagenetic facies

After the early compaction, the porosity of the four diagenetic facies has been significantly lost, and the differences between them are gradually obvious. The porosities of the four diagenetic facies after compaction are 19.32, 17.15, 17.08, and 25.43% (Fig. 7). The compaction caused the smallest loss of porosity of the carbonate cemented tight diagenetic facies, indicating that the carbonate cementation of the grain surface structure has obvious resistance to mechanical compaction. The porosity of the four diagenetic facies was further destroyed due to cementation. The porosity after the early cementation was 15.03, 13.26, 13.21, and 8.31%, respectively, and the porosity after the middle and late cementation was 12.28, 10.15, 7.81, and 4.98%, respectively (Fig. 7). The dissolution of the four diagenetic facies increases the porosity. It can be seen that the dissolution of the feldspar dissolution phase increases the porosity the highest at 3.95%, followed by the clay mineral cemented microporous phase and the remaining intergranular pore phase of the chlorite membrane. Carbonate cemented tight diagenetic facies dissolution increases the lowest porosity (Fig. 7).

Through the analysis of diagenetic evolution, it is found that a large number of minerals and fluids continuously compact, fill pores, and dissolve particles in the pore space of the sediment. However, the impact of different diagenesis in different regions and environments is also different. This can be proved by the porosity evolution characteristics of diagenetic facies. The final calculated porosity of residual chlorite-membrane intergranular-pore diagenetic facies is the largest, which is 12.28%. Feldspar dissolution diagenetic facies increased the most, with an average of 3.95%. Clay mineral cemented microporous diagenetic facies lost the most porosity due to the middle and late cementation, with an average of 8.11%. Carbonate cemented tight diagenetic facies leads to the least loss of porosity, while the early cementation leads to the largest loss of porosity, which is 17.12%.

Classification evaluation of reservoir quality

Quantitative characterization of micro-heterogeneity

The microscopic heterogeneity of sandstone reservoirs is mainly caused by the combination of sedimentation and diagenesis. The grain size and sorting of sandstone are mainly controlled by sedimentation, which determines the initial porosity of the reservoir. The compaction, cementation, and dissolution experienced during the diagenesis process eventually resulted in the strong micro-heterogeneity of the sandstone reservoirs in the study area. Therefore, it is necessary to introduce the heterogeneity parameter of the pore throat structure to reflect the diversity and complexity of the pore structure, which is also the key parameter of this evaluation. Three parameters, standard deviation of particle size, comprehensive index of diagenesis and fractal dimension of pore structure were selected to characterize the influence of sedimentation, diagenesis and pore throat structure on micro-heterogeneity. Among them, the particle size standard deviation σ is the main parameter reflecting the heterogeneity of rock particles, the pore filling index mainly considers the degree of cementation and the degree of feldspar undissolved, and the fractal dimension of pore structure is mainly calculated by the relevant parameters of the capillary pressure curve. The larger the values of the three types of parameters are, the stronger the heterogeneity caused (see Table 4 for related calculation formulas). Based on the research of the three types of parameters that characterize heterogeneity, the micro-heterogeneity evaluation index M is established to reflect the strength of micro-heterogeneity. Among them, M = σ × P × D, the larger the index, the stronger the heterogeneity of the microscopic pore structure. This index can better characterize the degree of micro-heterogeneity, reflect the characteristics of reservoir seepage, predict the distribution of remaining oil, and provide certain guidance for oilfields to formulate water injection development plans.

Table 4 Calculation method of micro-heterogeneity of tight sandstone [22,23](Zhu 2008; Ma, et al. 2005)

Comprehensive quantitative classification and evaluation of reservoirs

Use the method of multiple comprehensive classification coefficients to systematically make reasonable classification evaluations from multiple angles, ensuring the quantification and rationalization of the results of this reservoir evaluation. First of all, porosity and permeability directly reflect the storage and seepage capacity of the reservoir, so they occupy the primary position in reservoir evaluation. Secondly, when selecting each influencing parameter, the parameters should be optimized based on the principles of practicability, representativeness, discreteness and relevance. By analyzing the main influencing factors of reservoir quality, nine parameters are finally selected for the next quantitative evaluation: porosity, permeability, reservoir quality factor \(\left( {\sqrt {\frac{K}{\Phi }} } \right)\), clay mineral content, carbonate content, porosity, drainage pressure, average pore throat radius, micro-heterogeneity evaluation index.

By analyzing the relationship between these nine parameters and reservoir quality, it is concluded that porosity, permeability, reservoir quality factor, borehole ratio and average pore throat radius are positively correlated with reservoir quality—the larger the parameter value, the greater the better the reservoir. The clay mineral content, carbonate content, displacement pressure and heterogeneity evaluation index are negatively correlated with the performance of the reservoir—the larger the parameter, the worse the reservoir. Using the method of multiple classification coefficients to normalize each parameter, the calculation formula is as follows:

$$ F_{{{\text{eci}}}} = \ln \frac{{\frac{{\Phi_{i} }}{{\Phi_{\max } }} \times \frac{{K_{i} }}{{K_{\max } }} \times \frac{{{\text{RQI}}_{i} }}{{{\text{RQI}}_{\max } }} \times \frac{{C_{i} }}{{C_{\max } }} \times \frac{{\overline{R}_{i} }}{{\overline{R}_{{{\text{max}}}} }}}}{{\frac{{{\text{CLM}}_{i} }}{{{\text{CLM}}_{\max } }} \times \frac{{{\text{CAM}}_{i} }}{{{\text{CAM}}_{{{\text{max}}}} }} \times \frac{{P{\text{c}}_{i} }}{{P{\text{c}}_{{{\text{max}}}} }} \times \frac{{M_{i} }}{{M_{{{\text{max}}}} }}}} $$

In the formula, Feci is the multivariate comprehensive classification coefficient; Ф is the porosity, %; K is the permeability, × 10−3μm2; RQI is the reservoir quality factor, μm; C is the face ratio, %;\(\overline{R}\) is the average pore throat radius, μm; CLM is the clay mineral content, %; CAM is the carbonate content, %; Pc is the displacement pressure, MPa; M is the heterogeneity evaluation index; the index i is a single specific parameter; max is the largest of the parameters value.

The multivariate comprehensive classification coefficient integrates the nine parameters that affect the quality of the reservoir in the study area from multiple perspectives, and quantitatively characterizes the comprehensive quality of the reservoir. According to the calculation results of the multivariate comprehensive classification coefficient method, the tight sandstone reservoirs in the study area are divided into 4 types: Type I: Feci > 7; Type II: 3 < Feci ≤ 7; Type III: -2 < Feci ≤ 3; Type IV: Feci ≤ -2.

The multivariate comprehensive classification coefficient method can classify the reservoir quantitatively, and the result is more accurate. It has a good effect on the classification and evaluation of tight sandstone reservoirs in the study area. However, if we want to make more accurate reservoir classification evaluation and prediction of planar distribution of more than 700 wells in the whole area, we need to find methods or parameters that are closely related to the multivariate comprehensive classification coefficient method and have strong coverage. The diagenetic facies has a close relationship with the multivariate comprehensive classification coefficient Feci, and the reservoir types classified by Feci have a good corresponding relationship with the diagenetic facies (Fig. 8), indicating that diagenetic facies can well reflect the characteristics of the multivariate comprehensive classification coefficient. Therefore, the quantitative characterization of diagenetic facies logging can be used to predict the reservoir classification in the whole area.

Fig. 8
figure 8

Feci coefficient distribution characteristics of different diagenetic facies

Quantitative identification of diagenetic facies logging

The differences between different diagenetic facies are mainly manifested in rock structure, cement composition, diagenetic strength, pore structure characteristics, physical properties, etc. Therefore, it is necessary to use logging data to analyze the difference between different diagenetic characteristics and logging responses to achieve the purpose of identifying diagenetic facies. In general, the density, neutrons, acoustic jet lag, natural gamma, and resistivity in the logging curve are more sensitive to the response of diagenetic facies (Shi et al. 2011).

The compaction causes a substantial compression of the pore space. In the area where the degree of compaction is stronger, the contact relationship between particles is relatively closer, and the content of plastic minerals and shale is relatively higher. The response characteristics on the logging curve generally show that the greater the density, neutrons and natural gamma, the lower the acoustic interval transit time. Cementation causes the pore space to be filled, resulting in increased density and decreased acoustic interval transit time. Natural gamma, neutrons, and resistivity will have different trends depending on the cement. Among them, carbonate minerals are non-conductive, usually not radioactive, and have a low hydrogen index, so they often have high resistivity, low natural gamma and neutrons. The influence of siliceous bonding on the logging curve is mainly manifested as medium high density, medium low acoustic interval transit time, medium low resistivity, and low natural gamma. Clay minerals often adsorb radioactive substances, increase the volume of bound water, and have a relatively high hydrogen index. Therefore, logging curves generally show relatively high values of natural gamma and neutrons, and relatively low values of resistivity. The main result of dissolution is the generation of secondary pores. Therefore, the log parameter density and neutron response that reflect the total porosity have an obvious relationship with the response, which mainly manifests as a decrease in density and an increase in neutrons. The acoustic interval transit time mainly reflects the original porosity, so there is no obvious response characteristic.

Conventional intersection diagram method

According to the difference in logging parameter density, neutron, natural gamma and acoustic time difference, which are more sensitive to different diagenetic facies, establish mutual intersection diagrams, in order to directly and quantitatively identify the boundaries of different diagenetic facies through the intersection diagram of logging parameters (Fig. 9). From the four intersection diagrams, it can be found that the degree of distinction between density and sonic jet lag is relatively good, but there is still some overlap. The remaining three intersection maps have relatively large overlaps, indicating that the logging curves in the study area cannot accurately and quantitatively divide the diagenetic facies. Therefore, it is necessary to further introduce a new method—Fisher discriminant method to achieve more accurate quantitative identification of diagenetic facies logging.

Fig. 9
figure 9

Intersection of diagenetic facies logging curves

Fisher discriminant method

The basic idea of the Fisher discriminant analysis method is projection. By finding a projection matrix, mapping the multi-dimensional data points to the low-dimensional space, and then optimizing the most suitable projection direction by analyzing the variance, the total data volume can be divided as much as possible with different types. Then construct the discriminant function, and then realize the quantitative recognition of the sample type (Xu 2000). Fisher discriminant method is often used in fluid identification and lithology identification, and has achieved more obvious results (Zhang et al. 2018; Luo et al. 2013; Wang et al. 2017). The specific process is as follows: (1) based on Fisher's dimensionality reduction idea, calculate the sensitive logging curves that reflect the different diagenetic facies optimized in the previous article. (2) According to the calculated contribution rate of the variance of eigenvalues, determine and construct the intersection chart of the main factor and the minor factor that can identify the diagenetic facies. (3) According to the optimization algorithm, the discriminant function of different diagenetic facies is constructed. (4) Finally, the maximum value calculated by the diagenetic facies discriminant function of the unknown sample is the final result of diagenetic facies identification (Fig. 10).

Fig. 10
figure 10

The flowchart of Fisher discriminant method to identify diagenetic facies

The four sensitive logging parameters of natural gamma, neutron, density and acoustic time difference at 136 sample points in the study area are used as the main analysis parameters. And according to the Fisher discriminant analysis method, the eigenvalues and variance contribution rates of the three canonical discriminant functions were obtained. Among them, the first canonical discriminant function obtained by calculation is the main factor, the second canonical discriminant function is a secondary factor, and the third canonical discriminant function has little influence on the final discriminant result, and is then discarded. The formulas are:

$$ {\text{Main factor}} = - 0.{14}0{\text{AC}} + {35}.{14}0{\text{DEN}} - 0.0{\text{46CNL}} + 0.0{\text{41GR}} - {58}.00{1} $$
(1)
$$ {\text{Secondary factor}} = - 0.0{\text{25AC}} + {3}.{\text{899DEN}} + 0.{\text{186CNL}} + 0.{\text{148GR}} - {31}.{166} $$
(2)

In the formula, AC is the acoustic interval transit time, μs/m; DEN is the density, g/cm3; CNL is the neutron, %; GR is the natural gamma, API.

Through the intersection diagram of the primary and secondary factors (Fig. 11), it is found that compared with the conventional intersection diagram method, the Fisher discriminant method improves the accuracy of diagenetic facies logging identification, and the boundaries of the four diagenetic facies types are clearer.

Fig.11
figure 11

Intersection diagram of major factors and minor factors

Then, through the logging interpretation software analysis, the discriminant functions of the four diagenetic facies are obtained. Use the discriminant function to identify the corresponding logging parameters of unknown diagenetic facies samples. The discriminant functions of the four diagenetic facies are:

$$ {\text{F}}_{{1}} = {1}0.{\text{266AC}} + {4941}.{\text{647DEN}} - {8}.{\text{911CNL}} + {4}.{\text{532GR}} - {7335}.{294} $$
(3)
$$ {\text{F}}_{{2}} = {9}.{84}0{\text{AC}} + 5012.0{\text{76DEN}} - {9}.{\text{188CNL}} + {4}.{\text{623GR}} - 7408.414 $$
(4)
$$ {\text{F}}_{{3}} = {9}.{\text{423AC}} + {5135}.{\text{687DEN}} - {9}.{\text{158CNL}} + {4}.{86}0{\text{GR}} - {7641}.{87} $$
(5)
$$ {\text{F}}_{{4}} = {9}.00{\text{9AC}} + {5241}.{\text{913DEN}} - {9}.{\text{467CNL}} + {4}.{\text{791GR}} - {781}0.0{51} $$
(6)

In the formula, F1 is the residual chlorite-membrane intergranular-pore diagenetic facies; F2 is the feldspar dissolution diagenetic facies; F3 is the clay mineral cemented microporous diagenetic facies; F4 is the carbonate cemented tight diagenetic facies.

For unknown diagenetic facies types, the corresponding logging parameter values are, respectively, brought into the discriminant function formula 4.3–4.6, and the discriminant function values of the four diagenetic facies are calculated. Then, after comparing, the discriminant function type where the maximum value is located is the type of diagenetic facies.

Application effect analysis

Through log curve analysis and calculation of nearly 317 wells in the study area, the diagenetic facies were identified and compared with the corresponding depth section results to verify the accuracy of the diagenetic facies log identification results of the Fisher discriminant method. From the comparative analysis of the diagenetic facies identification results of Well H206 and the thin section identification results (Fig. 12), it is found that the remaining intergranular pore diagenetic facies of the chlorite membrane develops between 2028 m and 2031.4 m. Corresponding to the observation under the microscope in the casting thin section experiment at 2029 m, the intergranular pores are developed and the edges of the particles are wrapped with a chlorite film. The feldspar dissolution diagenetic facies developed at 2031.4–2033.8 m, corresponding to the observation of feldspar dissolution under the experimental microscope of 2033 m scanning electron microscope. Carbonate cemented compact diagenetic facies developed at 2049.6–2052 m, corresponding to the observation of carbonate cementation and metasomatism under the cathodoluminescence experimental microscope at 2050.2 m, and the pores were not developed. Clay mineral cemented microporous diagenetic facies developed at 2054–2055.5 m, corresponding to the observation of illite and chlorite cemented and filled pores in the scanning electron microscope experiment at 2055.1 m. The result of diagenetic facies identification is in good agreement with the minerals and pores in the thin section, indicating that the Fisher discriminant analysis method has a relatively good effect on the identification of diagenetic facies. On this basis, the planar distribution of diagenetic facies in the whole area was compiled with dominant facies in small layers (Fig. 13).

Fig.12
figure 12

Log identification results of H206 diagenetic facies

Fig. 13
figure 13

Plane distribution pattern of diagenetic facies

Conclusions

  1. (1)

    The study area has undergone strong diagenetic transformation. The average porosity loss rate caused by compaction is 50.62%, the overall porosity loss rate caused by cementation is about 27.8%, and the secondary porosity increased by dissolution is 2.26% on average. The overall porosity is strongly damaged by compaction and middle and late cementation, resulting in significant differences in the porosity evolution characteristics, physical properties, and microscopic pore throat radius distribution characteristics of the four types of diagenetic facies (residual chlorite-membrane intergranular-pore diagenetic facies, feldspar dissolution diagenetic facies, clay mineral cemented microporous diagenetic facies, carbonate cemented tight diagenetic facies) in the study area. It has a good reflection on the quality of the reservoir.

  2. (2)

    Using the method of multivariate comprehensive classification coefficient, the study area is divided into four categories quantitatively from multiple perspectives: Type I: Feci > 7; Type II: 3 < Feci ≤ 7; Type III: -2 < Feci ≤ 3; Type IV: Feci ≤ -2. Diagenesis facies has a good corresponding relationship with the multivariate comprehensive classification evaluation coefficient Feci of the reservoir, indicating that diagenesis has a good characterization effect relative to the quality of the reservoir.

  3. (3)

    The Fisher discriminant analysis method is used to distinguish the log response characteristics of different diagenetic facies, and an intersection chart of the primary and secondary factors with good distinguishability is constructed. Furthermore, the discriminant function of diagenetic facies logging curves is established, which can quantitatively identify different diagenetic facies types in the study area, and has achieved good application effects. The quantitative characterization of reservoir classification prediction from samples (points) to well positions (surfaces) in the whole area is realized, which is very important for the current oil and gas exploration and development.