根据这里找到的一些答案，我想出了以下解决方案。

代码:

public class ExternalStorage {

    public static final String SD_CARD = "sdCard";
    public static final String EXTERNAL_SD_CARD = "externalSdCard";

    /**
     * @return True if the external storage is available. False otherwise.
     */
    public static boolean isAvailable() {
        String state = Environment.getExternalStorageState();
        if (Environment.MEDIA_MOUNTED.equals(state) || Environment.MEDIA_MOUNTED_READ_ONLY.equals(state)) {
            return true;
        }
        return false;
    }

    public static String getSdCardPath() {
        return Environment.getExternalStorageDirectory().getPath() + "/";
    }

    /**
     * @return True if the external storage is writable. False otherwise.
     */
    public static boolean isWritable() {
        String state = Environment.getExternalStorageState();
        if (Environment.MEDIA_MOUNTED.equals(state)) {
            return true;
        }
        return false;

    }

    /**
     * @return A map of all storage locations available
     */
    public static Map<String, File> getAllStorageLocations() {
        Map<String, File> map = new HashMap<String, File>(10);

        List<String> mMounts = new ArrayList<String>(10);
        List<String> mVold = new ArrayList<String>(10);
        mMounts.add("/mnt/sdcard");
        mVold.add("/mnt/sdcard");

        try {
            File mountFile = new File("/proc/mounts");
            if(mountFile.exists()){
                Scanner scanner = new Scanner(mountFile);
                while (scanner.hasNext()) {
                    String line = scanner.nextLine();
                    if (line.startsWith("/dev/block/vold/")) {
                        String[] lineElements = line.split(" ");
                        String element = lineElements[1];

                        // don't add the default mount path
                        // it's already in the list.
                        if (!element.equals("/mnt/sdcard"))
                            mMounts.add(element);
                    }
                }
            }
        } catch (Exception e) {
            e.printStackTrace();
        }

        try {
            File voldFile = new File("/system/etc/vold.fstab");
            if(voldFile.exists()){
                Scanner scanner = new Scanner(voldFile);
                while (scanner.hasNext()) {
                    String line = scanner.nextLine();
                    if (line.startsWith("dev_mount")) {
                        String[] lineElements = line.split(" ");
                        String element = lineElements[2];

                        if (element.contains(":"))
                            element = element.substring(0, element.indexOf(":"));
                        if (!element.equals("/mnt/sdcard"))
                            mVold.add(element);
                    }
                }
            }
        } catch (Exception e) {
            e.printStackTrace();
        }


        for (int i = 0; i < mMounts.size(); i++) {
            String mount = mMounts.get(i);
            if (!mVold.contains(mount))
                mMounts.remove(i--);
        }
        mVold.clear();

        List<String> mountHash = new ArrayList<String>(10);

        for(String mount : mMounts){
            File root = new File(mount);
            if (root.exists() && root.isDirectory() && root.canWrite()) {
                File[] list = root.listFiles();
                String hash = "[";
                if(list!=null){
                    for(File f : list){
                        hash += f.getName().hashCode()+":"+f.length()+", ";
                    }
                }
                hash += "]";
                if(!mountHash.contains(hash)){
                    String key = SD_CARD + "_" + map.size();
                    if (map.size() == 0) {
                        key = SD_CARD;
                    } else if (map.size() == 1) {
                        key = EXTERNAL_SD_CARD;
                    }
                    mountHash.add(hash);
                    map.put(key, root);
                }
            }
        }

        mMounts.clear();

        if(map.isEmpty()){
                 map.put(SD_CARD, Environment.getExternalStorageDirectory());
        }
        return map;
    }
}

用法:

Map<String, File> externalLocations = ExternalStorage.getAllStorageLocations();
File sdCard = externalLocations.get(ExternalStorage.SD_CARD);
File externalSdCard = externalLocations.get(ExternalStorage.EXTERNAL_SD_CARD);

我找到的唯一有效的解决方案是使用反射

 /**
 * Get external sd card path using reflection
 * @param mContext
 * @param is_removable is external storage removable
 * @return
 */
private static String getExternalStoragePath(Context mContext, boolean is_removable) {

    StorageManager mStorageManager = (StorageManager) mContext.getSystemService(Context.STORAGE_SERVICE);
    Class<?> storageVolumeClazz = null;
    try {
        storageVolumeClazz = Class.forName("android.os.storage.StorageVolume");
        Method getVolumeList = mStorageManager.getClass().getMethod("getVolumeList");
        Method getPath = storageVolumeClazz.getMethod("getPath");
        Method isRemovable = storageVolumeClazz.getMethod("isRemovable");
        Object result = getVolumeList.invoke(mStorageManager);
        final int length = Array.getLength(result);
        for (int i = 0; i < length; i++) {
            Object storageVolumeElement = Array.get(result, i);
            String path = (String) getPath.invoke(storageVolumeElement);
            boolean removable = (Boolean) isRemovable.invoke(storageVolumeElement);
            if (is_removable == removable) {
                return path;
            }
        }
    } catch (ClassNotFoundException e) {
        e.printStackTrace();
    } catch (InvocationTargetException e) {
        e.printStackTrace();
    } catch (NoSuchMethodException e) {
        e.printStackTrace();
    } catch (IllegalAccessException e) {
        e.printStackTrace();
    }
    return null;
}

像Richard一样，我也使用/proc/mounts文件来获取可用的存储选项列表

public class StorageUtils {

    private static final String TAG = "StorageUtils";

    public static class StorageInfo {

        public final String path;
        public final boolean internal;
        public final boolean readonly;
        public final int display_number;

        StorageInfo(String path, boolean internal, boolean readonly, int display_number) {
            this.path = path;
            this.internal = internal;
            this.readonly = readonly;
            this.display_number = display_number;
        }

        public String getDisplayName() {
            StringBuilder res = new StringBuilder();
            if (internal) {
                res.append("Internal SD card");
            } else if (display_number > 1) {
                res.append("SD card " + display_number);
            } else {
                res.append("SD card");
            }
            if (readonly) {
                res.append(" (Read only)");
            }
            return res.toString();
        }
    }

    public static List<StorageInfo> getStorageList() {

        List<StorageInfo> list = new ArrayList<StorageInfo>();
        String def_path = Environment.getExternalStorageDirectory().getPath();
        boolean def_path_internal = !Environment.isExternalStorageRemovable();
        String def_path_state = Environment.getExternalStorageState();
        boolean def_path_available = def_path_state.equals(Environment.MEDIA_MOUNTED)
                                    || def_path_state.equals(Environment.MEDIA_MOUNTED_READ_ONLY);
        boolean def_path_readonly = Environment.getExternalStorageState().equals(Environment.MEDIA_MOUNTED_READ_ONLY);
        BufferedReader buf_reader = null;
        try {
            HashSet<String> paths = new HashSet<String>();
            buf_reader = new BufferedReader(new FileReader("/proc/mounts"));
            String line;
            int cur_display_number = 1;
            Log.d(TAG, "/proc/mounts");
            while ((line = buf_reader.readLine()) != null) {
                Log.d(TAG, line);
                if (line.contains("vfat") || line.contains("/mnt")) {
                    StringTokenizer tokens = new StringTokenizer(line, " ");
                    String unused = tokens.nextToken(); //device
                    String mount_point = tokens.nextToken(); //mount point
                    if (paths.contains(mount_point)) {
                        continue;
                    }
                    unused = tokens.nextToken(); //file system
                    List<String> flags = Arrays.asList(tokens.nextToken().split(",")); //flags
                    boolean readonly = flags.contains("ro");

                    if (mount_point.equals(def_path)) {
                        paths.add(def_path);
                        list.add(0, new StorageInfo(def_path, def_path_internal, readonly, -1));
                    } else if (line.contains("/dev/block/vold")) {
                        if (!line.contains("/mnt/secure")
                            && !line.contains("/mnt/asec")
                            && !line.contains("/mnt/obb")
                            && !line.contains("/dev/mapper")
                            && !line.contains("tmpfs")) {
                            paths.add(mount_point);
                            list.add(new StorageInfo(mount_point, false, readonly, cur_display_number++));
                        }
                    }
                }
            }

            if (!paths.contains(def_path) && def_path_available) {
                list.add(0, new StorageInfo(def_path, def_path_internal, def_path_readonly, -1));
            }

        } catch (FileNotFoundException ex) {
            ex.printStackTrace();
        } catch (IOException ex) {
            ex.printStackTrace();
        } finally {
            if (buf_reader != null) {
                try {
                    buf_reader.close();
                } catch (IOException ex) {}
            }
        }
        return list;
    }    
}

Environment.getExternalStorageState()返回内部SD挂载点的路径，如"/mnt/sdcard"

不，Environment.getExternalStorageDirectory()指的是设备制造商认为是“外部存储”的任何东西。在某些设备上，这是可移动媒体，如SD卡。在某些设备上，这是设备上flash的一部分。这里的“外部存储”指的是“挂载在主机上通过USB大容量存储模式访问的东西”，至少对于Android 1来说是这样。X和2.x。

但问题是关于外置SD。如何获得像“/mnt/sdcard/external_sd”这样的路径(它可能因设备而异)?

Android没有“外部SD”的概念，除了如上所述的外部存储。

如果设备制造商已经选择将外部存储作为板载闪存，并且还具有SD卡，那么您将需要联系该制造商以确定是否可以使用SD卡(不保证)以及使用它的规则，例如使用它的路径。

更新

最近有两件事值得注意:

首先，在Android 4.4+上，你没有对可移动媒体(例如，“外部SD”)的写访问权，除非该媒体上的任何位置可能由getExternalFilesDirs()和getExternalCacheDirs()返回。请参阅Dave Smith对此的出色分析，特别是如果您想了解底层细节的话。

其次，为了避免有人质疑可移动媒体访问是否是Android SDK的一部分，以下是Dianne Hackborn的评估:

...keep in mind: until Android 4.4, the official Android platform has not supported SD cards at all except for two special cases: the old school storage layout where external storage is an SD card (which is still supported by the platform today), and a small feature added to Android 3.0 where it would scan additional SD cards and add them to the media provider and give apps read-only access to their files (which is also still supported in the platform today). Android 4.4 is the first release of the platform that has actually allowed applications to use SD cards for storage. Any access to them prior to that was through private, unsupported APIs. We now have a quite rich API in the platform that allows applications to make use of SD cards in a supported way, in better ways than they have been able to before: they can make free use of their app-specific storage area without requiring any permissions in the app, and can access any other files on the SD card as long as they go through the file picker, again without needing any special permissions.

由于上面我最初的回答，扫描vold在各个制造商中不再可行。

我发明了一种更可靠更直接的方法。

File mnt = new File("/storage");
if (!mnt.exists())
    mnt = new File("/mnt");

File[] roots = mnt.listFiles(new FileFilter() {

    @Override
    public boolean accept(File pathname) {
        return pathname.isDirectory() && pathname.exists()
                && pathname.canWrite() && !pathname.isHidden()
                && !isSymlink(pathname);
    }
});

根目录将包含系统上所有可写的根目录，包括任何usb连接的usb设备。

注意:canWrite方法需要android.permission。WRITE_EXTERNAL_STORAGE许可。

下面是我用来寻找可移动SD卡的方法。它很复杂，在某些情况下可能有些过度，但它适用于我过去几年测试过的各种Android版本和设备制造商。自从API级别15以来，我不知道任何设备上没有找到SD卡，如果有一个挂载的。在大多数情况下，它不会返回假阳性，特别是如果您给它一个已知文件的名称来查找。

请让我知道如果你遇到任何情况下，它不起作用。

import android.content.Context;
import android.os.Build;
import android.os.Environment;
import android.support.v4.content.ContextCompat;
import android.text.TextUtils;
import android.util.Log;

import java.io.BufferedReader;
import java.io.File;
import java.io.FileReader;
import java.io.IOException;
import java.util.ArrayList;
import java.util.Collection;
import java.util.Iterator;
import java.util.LinkedHashSet;
import java.util.Locale;
import java.util.regex.Pattern;

public class SDCard {
    private static final String TAG = "SDCard";

    /** In some scenarios we can expect to find a specified file or folder on SD cards designed
     * to work with this app. If so, set KNOWNFILE to that filename. It will make our job easier.
     * Set it to null otherwise. */
    private static final String KNOWNFILE = null;

    /** Common paths for microSD card. **/
    private static String[] commonPaths = {
            // Some of these taken from
            // https://stackoverflow.com/questions/13976982/removable-storage-external-sdcard-path-by-manufacturers
            // These are roughly in order such that the earlier ones, if they exist, are more sure
            // to be removable storage than the later ones.
            "/mnt/Removable/MicroSD",
            "/storage/removable/sdcard1", // !< Sony Xperia Z1
            "/Removable/MicroSD", // Asus ZenPad C
            "/removable/microsd",
            "/external_sd", // Samsung
            "/_ExternalSD", // some LGs
            "/storage/extSdCard", // later Samsung
            "/storage/extsdcard", // Main filesystem is case-sensitive; FAT isn't.
            "/mnt/extsd", // some Chinese tablets, e.g. Zeki
            "/storage/sdcard1", // If this exists it's more likely than sdcard0 to be removable.
            "/mnt/extSdCard",
            "/mnt/sdcard/external_sd",
            "/mnt/external_sd",
            "/storage/external_SD",
            "/storage/ext_sd", // HTC One Max
            "/mnt/sdcard/_ExternalSD",
            "/mnt/sdcard-ext",

            "/sdcard2", // HTC One M8s
            "/sdcard1", // Sony Xperia Z
            "/mnt/media_rw/sdcard1",   // 4.4.2 on CyanogenMod S3
            "/mnt/sdcard", // This can be built-in storage (non-removable).
            "/sdcard",
            "/storage/sdcard0",
            "/emmc",
            "/mnt/emmc",
            "/sdcard/sd",
            "/mnt/sdcard/bpemmctest",
            "/mnt/external1",
            "/data/sdext4",
            "/data/sdext3",
            "/data/sdext2",
            "/data/sdext",
            "/storage/microsd" //ASUS ZenFone 2

            // If we ever decide to support USB OTG storage, the following paths could be helpful:
            // An LG Nexus 5 apparently uses usb://1002/UsbStorage/ as a URI to access an SD
            // card over OTG cable. Other models, like Galaxy S5, use /storage/UsbDriveA
            //        "/mnt/usb_storage",
            //        "/mnt/UsbDriveA",
            //        "/mnt/UsbDriveB",
    };

    /** Find path to removable SD card. */
    public static File findSdCardPath(Context context) {
        String[] mountFields;
        BufferedReader bufferedReader = null;
        String lineRead = null;

        /** Possible SD card paths */
        LinkedHashSet<File> candidatePaths = new LinkedHashSet<>();

        /** Build a list of candidate paths, roughly in order of preference. That way if
         * we can't definitively detect removable storage, we at least can pick a more likely
         * candidate. */

        // Could do: use getExternalStorageState(File path), with and without an argument, when
        // available. With an argument is available since API level 21.
        // This may not be necessary, since we also check whether a directory exists and has contents,
        // which would fail if the external storage state is neither MOUNTED nor MOUNTED_READ_ONLY.

        // I moved hard-coded paths toward the end, but we need to make sure we put the ones in
        // backwards order that are returned by the OS. And make sure the iterators respect
        // the order!
        // This is because when multiple "external" storage paths are returned, it's always (in
        // experience, but not guaranteed by documentation) with internal/emulated storage
        // first, removable storage second.

        // Add value of environment variables as candidates, if set:
        // EXTERNAL_STORAGE, SECONDARY_STORAGE, EXTERNAL_SDCARD_STORAGE
        // But note they are *not* necessarily *removable* storage! Especially EXTERNAL_STORAGE.
        // And they are not documented (API) features. Typically useful only for old versions of Android.

        String val = System.getenv("SECONDARY_STORAGE");
        if (!TextUtils.isEmpty(val)) addPath(val, null, candidatePaths);
        val = System.getenv("EXTERNAL_SDCARD_STORAGE");
        if (!TextUtils.isEmpty(val)) addPath(val, null, candidatePaths);

        // Get listing of mounted devices with their properties.
        ArrayList<File> mountedPaths = new ArrayList<>();
        try {
            // Note: Despite restricting some access to /proc (http://stackoverflow.com/a/38728738/423105),
            // Android 7.0 does *not* block access to /proc/mounts, according to our test on George's Alcatel A30 GSM.
            bufferedReader = new BufferedReader(new FileReader("/proc/mounts"));

            // Iterate over each line of the mounts listing.
            while ((lineRead = bufferedReader.readLine()) != null) {
                Log.d(TAG, "\nMounts line: " + lineRead);
                mountFields = lineRead.split(" ");

                // columns: device, mountpoint, fs type, options... Example:
                // /dev/block/vold/179:97 /storage/sdcard1 vfat rw,dirsync,nosuid,nodev,noexec,relatime,uid=1000,gid=1015,fmask=0002,dmask=0002,allow_utime=0020,codepage=cp437,iocharset=iso8859-1,shortname=mixed,utf8,errors=remount-ro 0 0
                String device = mountFields[0], path = mountFields[1], fsType = mountFields[2];

                // The device, path, and fs type must conform to expected patterns.
                if (!(devicePattern.matcher(device).matches() &&
                        pathPattern.matcher(path).matches() &&
                        fsTypePattern.matcher(fsType).matches()) ||
                        // mtdblock is internal, I'm told.
                        device.contains("mtdblock") ||
                        // Check for disqualifying patterns in the path.
                        pathAntiPattern.matcher(path).matches()) {
                    // If this mounts line fails our tests, skip it.
                    continue;
                }

                // TODO maybe: check options to make sure it's mounted RW?
                // The answer at http://stackoverflow.com/a/13648873/423105 does.
                // But it hasn't seemed to be necessary so far in my testing.

                // This line met the criteria so far, so add it to candidate list.
                addPath(path, null, mountedPaths);
            }
        } catch (IOException ignored) {
        } finally {
            if (bufferedReader != null) {
                try {
                    bufferedReader.close();
                } catch (IOException ignored) {
                }
            }
        }

        // Append the paths from mount table to candidate list, in reverse order.
        if (!mountedPaths.isEmpty()) {
            // See https://stackoverflow.com/a/5374346/423105 on why the following is necessary.
            // Basically, .toArray() needs its parameter to know what type of array to return.
            File[] mountedPathsArray = mountedPaths.toArray(new File[mountedPaths.size()]);
            addAncestors(candidatePaths, mountedPathsArray);
        }

        // Add hard-coded known common paths to candidate list:
        addStrings(candidatePaths, commonPaths);

        // If the above doesn't work we could try the following other options, but in my experience they
        // haven't added anything helpful yet.

        // getExternalFilesDir() and getExternalStorageDirectory() typically something app-specific like
        //   /storage/sdcard1/Android/data/com.mybackuparchives.android/files
        // so we want the great-great-grandparent folder.

        // This may be non-removable.
        Log.d(TAG, "Environment.getExternalStorageDirectory():");
        addPath(null, ancestor(Environment.getExternalStorageDirectory()), candidatePaths);

        // Context.getExternalFilesDirs() is only available from API level 19. You can use
        // ContextCompat.getExternalFilesDirs() on earlier APIs, but it only returns one dir anyway.
        Log.d(TAG, "context.getExternalFilesDir(null):");
        addPath(null, ancestor(context.getExternalFilesDir(null)), candidatePaths);

        // "Returns absolute paths to application-specific directories on all external storage
        // devices where the application can place persistent files it owns."
        // We might be able to use these to deduce a higher-level folder that isn't app-specific.
        // Also, we apparently have to call getExternalFilesDir[s](), at least in KITKAT+, in order to ensure that the
        // "external files" directory exists and is available.
        Log.d(TAG, "ContextCompat.getExternalFilesDirs(context, null):");
        addAncestors(candidatePaths, ContextCompat.getExternalFilesDirs(context, null));
        // Very similar results:
        Log.d(TAG, "ContextCompat.getExternalCacheDirs(context):");
        addAncestors(candidatePaths, ContextCompat.getExternalCacheDirs(context));

        // TODO maybe: use getExternalStorageState(File path), with and without an argument, when
        // available. With an argument is available since API level 21.
        // This may not be necessary, since we also check whether a directory exists,
        // which would fail if the external storage state is neither MOUNTED nor MOUNTED_READ_ONLY.

        // A "public" external storage directory. But in my experience it doesn't add anything helpful.
        // Note that you can't pass null, or you'll get an NPE.
        final File publicDirectory = Environment.getExternalStoragePublicDirectory(Environment.DIRECTORY_MUSIC);
        // Take the parent, because we tend to get a path like /pathTo/sdCard/Music.
        addPath(null, publicDirectory.getParentFile(), candidatePaths);
        // EXTERNAL_STORAGE: may not be removable.
        val = System.getenv("EXTERNAL_STORAGE");
        if (!TextUtils.isEmpty(val)) addPath(val, null, candidatePaths);

        if (candidatePaths.isEmpty()) {
            Log.w(TAG, "No removable microSD card found.");
            return null;
        } else {
            Log.i(TAG, "\nFound potential removable storage locations: " + candidatePaths);
        }

        // Accept or eliminate candidate paths if we can determine whether they're removable storage.
        // In Lollipop and later, we can check isExternalStorageRemovable() status on each candidate.
        if (Build.VERSION.SDK_INT >= 21) {
            Iterator<File> itf = candidatePaths.iterator();
            while (itf.hasNext()) {
                File dir = itf.next();
                // handle illegalArgumentException if the path is not a valid storage device.
                try {
                    if (Environment.isExternalStorageRemovable(dir)
                        // && containsKnownFile(dir)
                            ) {
                        Log.i(TAG, dir.getPath() + " is removable external storage");
                        return dir;
                    } else if (Environment.isExternalStorageEmulated(dir)) {
                        Log.d(TAG, "Removing emulated external storage dir " + dir);
                        itf.remove();
                    }
                } catch (IllegalArgumentException e) {
                    Log.d(TAG, "isRemovable(" + dir.getPath() + "): not a valid storage device.", e);
                }
            }
        }

        // Continue trying to accept or eliminate candidate paths based on whether they're removable storage.
        // On pre-Lollipop, we only have singular externalStorage. Check whether it's removable.
        if (Build.VERSION.SDK_INT >= 9) {
            File externalStorage = Environment.getExternalStorageDirectory();
            Log.d(TAG, String.format(Locale.ROOT, "findSDCardPath: getExternalStorageDirectory = %s", externalStorage.getPath()));
            if (Environment.isExternalStorageRemovable()) {
                // Make sure this is a candidate.
                // TODO: Does this contains() work? Should we be canonicalizing paths before comparing?
                if (candidatePaths.contains(externalStorage)
                    // && containsKnownFile(externalStorage)
                        ) {
                    Log.d(TAG, "Using externalStorage dir " + externalStorage);
                    return externalStorage;
                }
            } else if (Build.VERSION.SDK_INT >= 11 && Environment.isExternalStorageEmulated()) {
                Log.d(TAG, "Removing emulated external storage dir " + externalStorage);
                candidatePaths.remove(externalStorage);
            }
        }

        // If any directory contains our special test file, consider that the microSD card.
        if (KNOWNFILE != null) {
            for (File dir : candidatePaths) {
                Log.d(TAG, String.format(Locale.ROOT, "findSdCardPath: Looking for known file in candidate path, %s", dir));
                if (containsKnownFile(dir)) return dir;
            }
        }

        // If we don't find the known file, still try taking the first candidate.
        if (!candidatePaths.isEmpty()) {
            Log.d(TAG, "No definitive path to SD card; taking the first realistic candidate.");
            return candidatePaths.iterator().next();
        }

        // If no reasonable path was found, give up.
        return null;
    }

    /** Add each path to the collection. */
    private static void addStrings(LinkedHashSet<File> candidatePaths, String[] newPaths) {
        for (String path : newPaths) {
            addPath(path, null, candidatePaths);
        }
    }

    /** Add ancestor of each File to the collection. */
    private static void addAncestors(LinkedHashSet<File> candidatePaths, File[] files) {
        for (int i = files.length - 1; i >= 0; i--) {
            addPath(null, ancestor(files[i]), candidatePaths);
        }
    }

    /**
     * Add a new candidate directory path to our list, if it's not obviously wrong.
     * Supply path as either String or File object.
     * @param strNew path of directory to add (or null)
     * @param fileNew directory to add (or null)
     */
    private static void addPath(String strNew, File fileNew, Collection<File> paths) {
        // If one of the arguments is null, fill it in from the other.
        if (strNew == null) {
            if (fileNew == null) return;
            strNew = fileNew.getPath();
        } else if (fileNew == null) {
            fileNew = new File(strNew);
        }

        if (!paths.contains(fileNew) &&
                // Check for paths known not to be removable SD card.
                // The antipattern check can be redundant, depending on where this is called from.
                !pathAntiPattern.matcher(strNew).matches()) {

            // Eliminate candidate if not a directory or not fully accessible.
            if (fileNew.exists() && fileNew.isDirectory() && fileNew.canExecute()) {
                Log.d(TAG, "  Adding candidate path " + strNew);
                paths.add(fileNew);
            } else {
                Log.d(TAG, String.format(Locale.ROOT, "  Invalid path %s: exists: %b isDir: %b canExec: %b canRead: %b",
                        strNew, fileNew.exists(), fileNew.isDirectory(), fileNew.canExecute(), fileNew.canRead()));
            }
        }
    }

    private static final String ANDROID_DIR = File.separator + "Android";

    private static File ancestor(File dir) {
        // getExternalFilesDir() and getExternalStorageDirectory() typically something app-specific like
        //   /storage/sdcard1/Android/data/com.mybackuparchives.android/files
        // so we want the great-great-grandparent folder.
        if (dir == null) {
            return null;
        } else {
            String path = dir.getAbsolutePath();
            int i = path.indexOf(ANDROID_DIR);
            if (i == -1) {
                return dir;
            } else {
                return new File(path.substring(0, i));
            }
        }
    }

    /** Returns true iff dir contains the special test file.
     * Assumes that dir exists and is a directory. (Is this a necessary assumption?) */
    private static boolean containsKnownFile(File dir) {
        if (KNOWNFILE == null) return false;

        File knownFile = new File(dir, KNOWNFILE);
        return knownFile.exists();
    }

    private static Pattern
            /** Pattern that SD card device should match */
            devicePattern = Pattern.compile("/dev/(block/.*vold.*|fuse)|/mnt/.*"),
    /** Pattern that SD card mount path should match */
    pathPattern = Pattern.compile("/(mnt|storage|external_sd|extsd|_ExternalSD|Removable|.*MicroSD).*",
            Pattern.CASE_INSENSITIVE),
    /** Pattern that the mount path should not match.
     * 'emulated' indicates an internal storage location, so skip it.
     * 'asec' is an encrypted package file, decrypted and mounted as a directory. */
    pathAntiPattern = Pattern.compile(".*(/secure|/asec|/emulated).*"),
    /** These are expected fs types, including vfat. tmpfs is not OK.
     * fuse can be removable SD card (as on Moto E or Asus ZenPad), or can be internal (Huawei G610). */
    fsTypePattern = Pattern.compile(".*(fat|msdos|ntfs|ext[34]|fuse|sdcard|esdfs).*");
}

P.S.

Don't forget <uses-permission android:name="android.permission.READ_EXTERNAL_STORAGE" /> in the manifest. And at API level 23 and higher, make sure to use checkSelfPermission / requestPermissions. Set KNOWNFILE="myappfile" if there's a file or folder you expect to find on the SD card. That makes detection more accurate. Obviously you'll want to cache the value of findSdCardPath(), rather than recomputing it every time you need it. There's a bunch of logging (Log.d()) in the above code. It helps diagnose any cases where the right path isn't found. Comment it out if you don't want logging.