CN104747171A - Sandstone bottom water reservoir water cone quantitative-description method - Google Patents

Abstract

The invention provides a sandstone bottom water reservoir water cone quantitative-description method. The sandstone bottom water reservoir water cone quantitative-description method comprises the steps of 1 collecting an oil reservoir characterization parameter of a researched oil reservoir, 2 describing a model formula by selecting a corresponding water cone or a water ridge according to well type and 3 utilizing the selected water cone or the water ridge to describe the model formula and calculate the morphological parameter and volume of the water cone or the water ridge. By means of the sandstone bottom water reservoir water cone quantitative-description method, the morphologies of the water cone or the water ridge of the oil reservoir at different position in different periods can be predicted, and the residual oil distribution rule of the sandstone bottom water reservoir can be determined. The sandstone bottom water reservoir water cone quantitative-description method has the advantages of being high in prediction success rate, simple and convenient to used and practical.

Description

Sandstone bottom water reservoir water cone quantitative description

Technical field

The present invention relates to oil field development technical field, particularly relate to a kind of sandstone bottom water reservoir water cone quantitative description.

Background technology

The water cone describing method of lot of domestic experts to sandstone bottom water reservoir is studied, how based on the characteristics of motion equation of Principles of Statics and underground fluid, establish bottom water reservoir water coning shape analytic modell analytical model and method for solving, do not consider vertical with horizontal permeability ratio, well spacing, production fluid speed, core intersection, keep away the impact of the factors such as range degree, viscosity ratio of oil and water, profit density contrast, be difficult to the sandstone bottom water reservoir water cone problem solving concrete block.We have invented a kind of new sandstone bottom water reservoir water cone quantitative description for this reason, solve above technical problem.

Summary of the invention

The object of this invention is to provide a kind of parameter obtaining affecting sandstone bottom water reservoir water coning shape by Research Numerical Simulation Techique on multiple reservoir characterization parametric regression, realize the method for the quantitative description to sandstone bottom water reservoir water coning shape.

Object of the present invention realizes by following technical measures: sandstone bottom water reservoir water cone quantitative description, and this sandstone bottom water reservoir water cone quantitative description comprises: step 1, collect study the reservoir characterization parameter of oil reservoir; Step 2, selects corresponding water to bore or water ridge descriptive model formula according to well type; And step 3, the water cone selected by utilization or water ridge descriptive model formulae discovery water cone or the morphological parameters of water ridge and volume.

Object of the present invention also realizes by following technical measures:

In step 1, according to geology and the dynamic situation of oil reservoir, collect this reservoir characterization parameter, comprise profit density contrast, viscosity ratio of oil and water, well spacing, daily fluid production rate, moisture content, core intersection, keep away and penetrate height, vertical permeability, horizontal direction permeability.

Water cone or water ridge descriptive model formula comprise water cone description formula, water body volume describes formula to water cone, water ridge describes formula and water ridge water body volume describes formula.

This water cone describes formula:

$f\left(r\right)=a_1+a_2{e}^{-a_3{r}^2}---\left(1\right)$

$a_1=\frac{1}{2}(h+h_b)-a_2---\left(2\right)$

$a_2=0.724h_b-506.493\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{\mathrm{hL}\ln {\mathrm{\μ}}_r}-\frac{1.909}{\ln q_L}+6.776---\left(3\right)$

$a_3=5.47\×{10}^{-5}\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{q_L{f}_w\ln {\mathrm{\μ}}_r}+\frac{8.83\×{10}^{-3}}{h_b}+\frac{1.25K_v/K_h}{L}-8.14\×{10}^{-4}---\left(4\right)$

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

L--well spacing, m;

Q _l--daily fluid production rate, m ³/ d;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

R--water conning radius, m;

F (r)--the water cone height at water conning radius r place, m.

This water cone water body volume describes formula and is:

$V=V_1+V_2=\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{r}_{\max }^2})+L^2\×a_1\≈\frac{a_2}{a_3}\mathrm{\π}+L^2\×a_1---\left(5\right)$

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

L--well spacing, m;

Q _l--daily fluid production rate, m ³/ d;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

R _max--maximum water conning radius, m;

V--water cone cumulative volume, m ³;

V ₁--water cone rotation eigenvector, m ³;

V ₂--water cone cuboid volume, m ³.

This water ridge describes formula:

$f\left(r\right)=a_1+a_2{e}^{-a_3{r}^2}---\left(6\right)$

$a_2=h_b-5.29\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{{\mathrm{Sq}}_1\ln {\mathrm{\μ}}_r}+1.57---\left(7\right)$

$\begin{array}{c}{a}_3=0.121/S+0.026/h+\frac{1.16\×{10}^{-4}}{d_b^2}+8.26\×{10}^{-7}\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{q_1\ln {\mathrm{\μ}}_r}+\frac{3.70\×{10}^{-3}}{f_w}\\ +6.29\×{10}^{-3}{K}_v/K_h-6.43\×{10}^{-3}\end{array}---\left(8\right)$

a ₁+a ₂=h*d _b（9）

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

S--well spacing, m;

Q _l--unit length daily fluid production rate, m ³/ d/m;

D _b--keep away range degree, m.

R--water conning radius, m;

F (r)--the water cone height at water conning radius r place, m.

This water ridge water body volume describes formula and is:

$\begin{array}{c}V=V_1+V_2=L\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{((W-L)/2)}^2})+(W-L)\×S\×a_1\\ =W\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{((W-L)/2)}^2})\\ \≈W\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}\end{array}---\left(10\right)$

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

The horizontal well spacing of L--, m;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

The longitudinal well spacing of S--, m;

Q _l--unit length daily fluid production rate, m ³/ d/m;

D _b--keep away range degree, m;

W--water ridge is wide, m;

V--water ridge cumulative volume, m ³;

V ₁--water ridge rotation eigenvector, m ³;

V ₂--water ridge cuboid volume, m ³.

Sandstone bottom water reservoir water cone quantitative description in the present invention, establishes straight well water cone descriptive model.The water cone describing method of the existing sandstone bottom water reservoir of this Model Extension, the form of oil reservoir diverse location, different times water cone or water ridge can be doped, the Remaining Oil Distribution of sandstone bottom water reservoir can be determined, have the advantages that success rate prediction is high, simple and practical.

Accompanying drawing explanation

Fig. 1 is the flow chart of a specific embodiment of sandstone bottom water reservoir water of the present invention cone quantitative description;

Fig. 2 is water cone generalized section;

Fig. 3 is the maximum water conning radius schematic diagram of producing well in a specific embodiment of the present invention.

Detailed description of the invention

For making above and other object of the present invention, feature and advantage can become apparent, cited below particularly go out preferred embodiment, and coordinate institute's accompanying drawings, be described in detail below.

As shown in Figure 1, Fig. 1 is the flow chart of sandstone bottom water reservoir water of the present invention cone quantitative description.

In step 101, according to geology and the dynamic situation of oil reservoir, collect this reservoir characterization parameter, as profit density contrast, viscosity ratio of oil and water, well spacing, daily fluid production rate, moisture content, core intersection, keep away and penetrate height, vertical permeability, horizontal direction permeability etc.Flow process enters into step 102.

In step 102, corresponding water is selected to bore or water ridge descriptive model formula according to well type.In following formula, formula (1) ~ (4) are water cone description formula of the present invention; Water cone-shaped as shown in Figure 2, bore water body volume for water of the present invention and describe formula by formula (5); Formula (6) ~ (9) describe formula for water ridge of the present invention; Formula (10) describes formula for water ridge water body volume of the present invention;

$f\left(r\right)=a_1+a_2{e}^{-a_3{r}^2}---\left(1\right)$

$a_1=\frac{1}{2}(h+h_b)-a_2---\left(2\right)$

$a_2=0.724h_b-506.493\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{\mathrm{hL}\ln {\mathrm{\μ}}_r}-\frac{1.909}{\ln q_L}+6.776---\left(3\right)$

$a_3=5.47\×{10}^{-5}\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{q_L{f}_w\ln {\mathrm{\μ}}_r}+\frac{8.83\×{10}^{-3}}{h_b}+\frac{1.25K_v/K_h}{L}-8.14\×{10}^{-4}---\left(4\right)$

$V=V_1+V_2=\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{r}_{\max }^2})+L^2\×a_1\≈\frac{a_2}{a_3}\mathrm{\π}+L^2\×a_1---\left(5\right)$

$f\left(r\right)=a_1+a_2{e}^{-a_3{r}^2}---\left(6\right)$

$a_2=h_b-5.29\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{{\mathrm{Sq}}_1\ln {\mathrm{\μ}}_r}+1.57---\left(7\right)$

$\begin{array}{c}{a}_3=0.121/S+0.026/h+\frac{1.16\×{10}^{-4}}{d_b^2}+8.26\×{10}^{-7}\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{q_1\ln {\mathrm{\μ}}_r}+\frac{3.70\×{10}^{-3}}{f_w}\\ +6.29\×{10}^{-3}{K}_v/K_h-6.43\×{10}^{-3}\end{array}---\left(8\right)$

a ₁+a ₂=h*d _b（9）

$\begin{array}{c}V=V_1+V_2=L\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{((W-L)/2)}^2})+(W-L)\×S\×a_1\\ =W\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{((W-L)/2)}^2})\\ \≈W\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}\end{array}---\left(10\right)$

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

The horizontal well spacing of L--, m;

Q _l--daily fluid production rate, m ³/ d;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

The longitudinal well spacing of S--, m;

Q _l--unit length daily fluid production rate, m ³/ d/m;

D _b--keep away range degree, m.Flow process enters into step 103.

In step 103, the model selected by utilization calculates the morphological parameters of water cone or water ridge, utilizes the volume computing formula of water cone or water ridge, calculates Living space.Flow process terminates.

In an application specific embodiment 1 of the present invention, oil field 1 is a typical major axis anticline sandstone bottom water reservoir, reservoir buried depth 1450m, oil area 4.2km ², degree of porosity 32.3%, air permeability 1047 × 10 ^-3μm ², average oil viscosity 200mPa.s, oil in place 783 × 10 ⁴t.By the end of in March, 2011, this block average individual well accumulation produce oil 1.57 × 10 ⁴t, water 29.65 × 10 is produced in accumulation ⁴t, horizontal well is tired produce oil 1.22 × 10 on average ⁴t, recovery percent of reserves 16.9%.

(1) the average oil density 0.90g/cm in stratum of this block is collected ³, average oil viscosity 200mPa.s, average air permeability 1047 × 10 ^-3um ², the general 10 ~ 35m of total sand thickness, well spacing 200 ~ 500m, and the characterization parameter such as the daily fluid production rate of straight well and horizontal well and moisture content.

(2) embodiments parameter is substituted into water cone or water ridge descriptive model.

(3) morphological parameters and the volume of water ridge or water cone is calculated.According to water cone or water ridge forecast model calculate, in March, 2011, the maximum water conning radius of this oilfield at 10-100 rice, as shown in Figure 3.The further exploration Remaining Oil Distribution in oil field 1.

The present invention analyzes multiple factor first, the quantitative description formula of sandstone bottom water reservoir straight well water cone, horizontal well water ridge is defined by the tackling key problem of multiple regression analysis method, obtain water cone/water ridge volume computing formula further, utilize straight well water to bore description formula and can obtain different radii place water cone height on water cone section, shape and the size of water cone can be described in detail, thus understand distribution and the Fuel Oil Remaining of remaining oil.

Claims (7)

1. sandstone bottom water reservoir water cone quantitative description, is characterized in that, this sandstone bottom water reservoir water cone quantitative description comprises:

Step 1, collect study the reservoir characterization parameter of oil reservoir;

Step 2, selects corresponding water to bore or water ridge descriptive model formula according to well type; And

Step 3, the water cone selected by utilization or water ridge descriptive model formulae discovery water cone or the morphological parameters of water ridge and volume.

2. sandstone bottom water reservoir water cone quantitative description according to claim 1, it is characterized in that, in step 1, according to geology and the dynamic situation of oil reservoir, collect this reservoir characterization parameter, comprise profit density contrast, viscosity ratio of oil and water, well spacing, daily fluid production rate, moisture content, core intersection, keep away and penetrate height, vertical permeability, horizontal direction permeability.

3. sandstone bottom water reservoir water cone quantitative description according to claim 1, is characterized in that, water cone or water ridge descriptive model formula comprise water cone description formula, water body volume describes formula to water cone, water ridge describes formula and water ridge water body volume describes formula.

4. sandstone bottom water reservoir water cone quantitative description according to claim 3, is characterized in that, this water cone describes formula and is:

$f\left(r\right)=a_1+a_2{e}^{-a_3{r}^2}---\left(1\right)$

$a_1=\frac{1}{2}(h+h_b)-a_2---\left(2\right)$

$a_2=0.724h_b-506.493\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{\mathrm{hL}\ln {\mathrm{\μ}}_r}-\frac{1.909}{\ln q_L}+6.776---\left(3\right)$

$a_3=5.47\×{10}^{-5}\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{q_L{f}_w\ln {\mathrm{\μ}}_r}+\frac{8.83\×{10}^{-3}}{h_b}+\frac{1.25K_v/K_h}{L}-8.14\×{10}^{-4}---\left(4\right)$

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

L--well spacing, m;

Q _l--daily fluid production rate, m ³/ d;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

R--water conning radius, m;

F (r)--the water cone height at water conning radius r place, m.

5. sandstone bottom water reservoir water cone quantitative description according to claim 4, is characterized in that, this water cone water body volume describes formula and is:

$V=V_1+V_2=\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{r}_{\max }^2})+L^2\×a_1\≈\frac{a_2}{a_3}\mathrm{\π}+L^2\×a_1---\left(5\right)$

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

L--well spacing, m;

Q _l--daily fluid production rate, m ³/ d;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

R _max--maximum water conning radius, m;

V--water cone cumulative volume, m ³;

V ₁--water cone rotation eigenvector, m ³;

V ₂--water cone cuboid volume, m ³.

6. sandstone bottom water reservoir water cone quantitative description according to claim 3, it is characterized in that, this water ridge describes formula and is:

$f\left(r\right)=a_1+a_2{e}^{-a_3{r}^2}---\left(6\right)$

$a_2=h_b-5.29\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{{\mathrm{Sq}}_1\ln {\mathrm{\μ}}_r}+1.57---\left(7\right)$

$\begin{array}{c}{a}_3=0.121/S+0.026/h+\frac{1.16\×{10}^{-4}}{d_b^2}+8.26\×{10}^{-7}\frac{{\mathrm{\Δ\ρ}}_{\mathrm{wo}}}{q_1\ln {\mathrm{\μ}}_r}+\frac{3.70\×{10}^{-3}}{f_w}\\ +6.29\×{10}^{-3}{K}_v/K_h-6.43\×{10}^{-3}\end{array}---\left(8\right)$

a ₁+a ₂=h*d _b（9）

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

S--well spacing, m;

Q _l--unit length daily fluid production rate, m ³/ d/m;

D _b--keep away range degree, m.

R--water conning radius, m;

F (r)--the water cone height at water conning radius r place, m.

7. sandstone bottom water reservoir water cone quantitative description according to claim 6, it is characterized in that, this water ridge water body volume describes formula and is:

$\begin{array}{c}V=V_1+V_2=L\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{((W-L)/2)}^2})+(W-L)\×S\×a_1\\ =W\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}(1-e^{-a_3{((W-L)/2)}^2})\\ \≈W\×S\×a_1+\sqrt{\frac{\mathrm{\π}}{a_3}}{a}_2\×L+\frac{a_2}{a_3}\mathrm{\π}\end{array}---\left(10\right)$

Wherein, △ ρ _wo--profit density contrast, kg/m ³;

μ _r--viscosity ratio of oil and water;

The horizontal well spacing of L--, m;

F _w--moisture content, decimal;

H--core intersection, m;

H _b--keep away and penetrate height, m;

K _v--vertical permeability, μm ²;

K _b--horizontal direction permeability, μm ²;

The longitudinal well spacing of S--, m;

Q _l--unit length daily fluid production rate, m ³/ d/m;

D _b--keep away range degree, m;

W--water ridge is wide, m;

V--water ridge cumulative volume, m ³;

V ₁--water ridge rotation eigenvector, m ³;

V ₂--water ridge cuboid volume, m ³.